Review of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Review of Beginning Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Classify as an expression or an equation. 1) 2x + 9 1) A) Expression B) Equation 2) 6x - 10y = 7 2) A) Expression B) Equation Evaluate. 3) x + y, for x = 9 and y = 16 3) 5 A) 144 5 B) 61 5 C) 189 5 D) 5 Solve the problem. 4) The area of a triangle with base b and height h is given by the formula A = 1 bh. Find the area of a 2 4) triangle when the base is 19.1 cm and the height is 8.6 cm. Round your answer to the nearest hundredth. A) 164.26 cm 2 B) 82.13 cm 2 C) 1.11 cm 2 D) 65.704 cm 2 5) Bill takes four times as long to do a job as Jose. Suppose t represents the time it takes Bill to do the job. Then t/4 represents the time it takes Jose. How long does it take Jose if it takes Bill 33 minutes? A) 132.00 minutes B) 8.25 minutes C) 37.00 minutes D) 29.00 minutes 5) Translate to an algebraic expression. 6) 10 decreased by b 6) A) b 10 B) 10b C) 10 - b D) 10 + b 7) 3 less than 6 times a number 7) A) 3-6x B) 3x - 6 C) 6x - 3 D) 3x Decide if the given number is a solution to the given equation. 8) 5p + 4p - 2 = 70; 8 8) A) Yes B) No Translate the problem to an equation. Do not solve. 9) Twice a number less 7 equals 3. 9) A) 7-2x = 3 B) 2x - 7 = 3 C) 2(x - 7) = 3 10) Four times a number increased by 4 divided by 2 is 2. 10) A) 4x + 4 4x + 4 4(x + 4) = 4 B) = 2 C) = 4 2 2 2 11) 44 minus twice a number equals 11 more than the number. 11) A) 44-2 = 11 + x B) 44-2x = 11 + 2x C) 44-2x = 11 + x 1

Translate to an algebraic expression. 12) Monica had $29 before spending y dollars for a snack. How much money remains? 12) A) $29 - y B) $29y C) y - $29 D) $29 + y Name the correct property to make the sentence true. 13) 8 + p is equivalent to p + 8 by the 13) A) commutative law for multiplication. B) commutative law for addition. C) distributive law. D) associative law for addition. 14) 4t is equivalent to t4 by the 14) A) commutative law for multiplication. B) distributive law. C) associative law for multiplication. D) commutative law for addition. 15) n + (6 + g) is equivalent to (n + 6) + g by the 15) A) distributive law. B) associative law for multiplication. C) commutative law for multiplication. D) associative law for addition. 16) (8p)g is equivalent to 8(pg) by the 16) A) commutative law for multiplication. B) associative property for multiplication. C) distributive law. D) commutative property for addition. 17) 9(z + m) is equivalent to 9z + 9m by the 17) A) distributive law. B) commutative law for addition. C) associative law for multiplication. D) associative law for addition. Use the commutative law of addition to write an equivalent expression. 18) 2x + 3y 18) A) x2 + 2y B) x2 + y3 C) 3x + y2 D) 3y + 2x 19) 4a + 9b 19) A) 4a + b9 B) a4 + b9 C) 9b + 4a D) a4 + 9b 20) 6(y + 6) 20) A) (y + 6)6 B) 6(6 + y) C) 36 + y D) 6y + 36 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the commutative and/or associative laws to write a series of steps verifying the given statement. 21) 9 + (a + b) is equivalent to b + (9 + a) 21) 22) x(y5) is equivalent to 5(xy) 22) 23) ( 2)m is equivalent to 2( m) 23) 24) s(t2) is equivalent to 2(ts) 24) 25) (y + z) + 7 is equivalent to (7 + z) + y 25) 2

26) (9 + y) + 3 is equivalent to y + 12 26) 27) (x + 8) + 6 is equivalent to 14 + x 27) 28) (8w)5 is equivalent to 40w 28) 29) (z2)6 is equivalent to 12z 29) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the distributive law to multiply. 30) 8(4x + 9y + 5) 30) A) 32x + 9y + 5 B) 32x + 72y + 40 C) 32x + 72y + 5 D) 32x + 9y + 40 List the terms of the expression. 31) 7x + m + 3p s 31) A) x, m, p B) 7x, m, 3p s C) 7, 3 D) x, m, p s Use the distributive law to factor the given expression. 32) 5 + 35a + 55b 32) A) 5(0 + 7a + 11b) B) 5(1 + 35a + 55b) C) 35(1 + a + b) D) 5(1 + 7a + 11b) Perform the indicated operation and, if possible, simplify. If a quotient is undefined state this. -11 33) - 2 9 5 A) 22 45 B) - 22 45 C) - 55 18 D) 55 18 33) 34) -7 8 8-7 34) A) -1 B) 1 C) 49 64 D) - 49 64 Perform the indicated operation and, if possible, simplify. 7 35) 10 - - 2 3 35) A) - 13 90 B) 1 30 C) 41 30 D) - 41 30 Write the expression using exponents. 36) 5p 5p 5p 5p 36) A) (5p) 4 B) 20p C) 5p 4 D) 5 4 p 3

Simplify. 37) (-2y) 4 37) A) -8y B) 16y 4 C) 16y D) -2y 4 38) 74-2 9 + 210 (-15) 38) A) -1051 B) 42 C) -19 D) 634 39) -90-6 - 1 10 39) A) 3 2 B) -150 C) - 2 3 D) - 3 2 40) 15 + 62(8) - (-7) 40) A) 310 B) 415 C) 36 D) 56 41) 4 (3 + 8) + 4 7 4 (2-1) 41) A) 24 B) 10 2 7 C) 18 D) 2 42) 27-2 3 2 3 2 2 - (-2) 2 42) A) - 21 2 B) 1 C) - 1 D) 7 2 Write an equivalent expression without using parentheses. 43) -(2x 3-4x + 9) 43) A) -2x 3 + 4x - 9 B) -2x 3 + 4x + 9 C) -2x 3-4x - 9 D) -2x 3-4x + 9 Simplify. 44) 7x - y - 6(2x - 9y + 2z) 44) A) -5x - 10y + 2z B) -5x + 53y - 12z C) -5x - 55y + 12z D) -5x + 8y - 2z 45) 9x 3 + x - 7(3x 2-8x) 45) A) 9x 3-21x 2-55x B) 9x 3-21x 2 + 57x C) 9x 3-21x 2 + x + 56 D) 9x 3-3x 2-7x Choose the word or statement that answers the question. 46) When you use the addition principle to solve an equation, what is true? 46) A) You add the same number to both sides of the equation. B) You add or subtract the same number to both sides of the equation. C) You add and subtract the same number to both sides of the equation. D) You subtract the same number from both sides of the equation. 4

47) What is the principle used to solve 7 x = -4? 47) 2 A) Multiplication principle B) Opposite principle C) Addition principle D) Solution principle 48) What is the principle used to solve 9 2 + x = -7? 48) A) Multiplicative inverse principle B) Multiplication principle C) Addition principle D) Additive identity principle Solve the equation. 49) -8p + 7 = -8-6p - 6p 49) A) 2 B) - 15 4 C) D) - 4 4 15 15 50) -11.4q + 1.7 = -36.3-1.9q 50) A) -47 B) 3.3 C) 3.5 D) 4 51) 7 6 x + 1 6 x = 3x + 1 3 + 5 6 x 51) A) - 2 15 B) - 1 15 C) 1 15 D) 2 21 52) 1 4 8x - 20 = 1 5 A) 1 10 25x - 10 52) B) -1 C) -10 D) 1 53) 0.6(5x + 15) = 2.9 - (x + 3) 53) A) - 40 B) - 118 C) - 31 D) - 91 91 31 118 40 Solve. Label any contradictions or identities. 54) -8(x + 3) + 3x = -5(x + 9) - 3 54) A) no solution; contradiction B) -5 C) all real numbers; identity D) 0 55) 5(x + 2) - 2x - 5 = 5 + 3x 55) A) 4 B) no solution; contradiction C) 0 D) all real numbers; identity Solve the formula for the indicated letter. 56) 1 a + 1 = c for b 56) b A) b = 1 ac B) b = 1 c - a C) b = ac - 1 a D) b = a ac - 1 5

57) 1 a + 1 b = 1 c for c 57) A) c = a + b ab B) c = a + b C) c = ab(a + b) D) c = ab a + b 58) I = Prt for r (simple interest) 58) A) r = I B) r = P - ti C) r = P - I D) r = P - 1 Pt 1 + t It Choose the most appropriate translation of the question. 59) 26% of what number is 37? 59) A) 26 = 0.37y B) 0.37 = 26y C) 37 = 0.26y D) 0.26 = 37y 60) 46 is what percent of 79? 60) A) q 46 = 79 B) q = 46 0.79 C) q = 79 0.46 D) q 79 = 46 Convert to decimal notation. 61) 45.4% 61) A) 0.0454 B) 0.344 C) 0.454 D) 4.54 62) 830% 62) A) 0.83 B) 8.30 C) 8.31 D) 83 63) 0.1% 63) A) 0.001 B) 0.01 C) 0.002 D) 0.1 Convert the decimal notation in the sentence to percent notation. 64) At least one episode of otitis media by the third birthday is experienced by 0.75 of all children. Source: http://www.nidcd.nih.gov/health/hearing/otitism.asp A) 0.75% B) 7.5% C) 0.075% D) 75% 64) 65) Property is assessed at 0.11 of market value. 65) A) 11% B) 110% C) 1.1% D) 0.11% Convert to percent notation. 66) 3.4 66) A) 0.34% B) 34% C) 0.0034% D) 340% 67) 0.175 67) A) 0.175% B) 17.5% C) 0.0175% D) 175% 68) 6 20 A) 30% B) 3% C) 0.03% D) 300% 68) 69) 3 4 69) A) 7.5% B) 75% C) 0.75% D) 750% 6

Solve. 70) What is 83% of 145 70) A) 120.35 B) 1203.5 C) 12.04 D) 12,035 71) What number is 120% of 310 71) A) 372 B) 37,200 C) 37.2 D) 3720 72) 18 is 9% of what number? 72) A) 20 B) 2000 C) 200 D) 162 73) 199 is 32% of what number? 73) A) 16 B) 6218.8 C) 621.88 D) 0.16 74) 912 is what percent of 787? 74) A) 86.3% B) 115.9% C) 0.1% D) 1.2% 75) What percent of 189 is 12.3? 75) A) 1536.6% B) 0.2% C) 0.1% D) 6.5% 76) During one year, the Green's real estate bill included $269 for city services. The fire department received 30% of that amount. How much money went to the fire department? A) $70.00 B) $60.70 C) $80.70 D) $18.83 77) A tax-exempt school group received a bill of $180.83 for educational software. The bill incorrectly included sales tax of 7%. How much should the school group pay? A) $169.00 B) $11.83 C) $118.30 D) $24.14 76) 77) Solve the problem. 78) If Gloria received a 5 percent raise and is now making $22,050 a year, what was her salary before the raise? Round to the nearest dollar if necessary. A) $20,948 B) $21,000 C) $22,000 D) $20,050 79) Midtown Antiques collects 2% sales tax on all sales. If total sales including tax are $1219.27, find the portion that is the tax. Round to the nearest cent if necessary. A) $24.39 B) $13.91 C) $1195.36 D) $23.91 78) 79) Solve using the five-step problem-solving process. 80) If 14 is added to a number and the sum is doubled, the result is 19 less than the number. Find the number. A) 9 B) 5 C) -47 D) -9 81) The sum of twice a number and 12 less than the number is the same as the difference between -32 and the number. What is the number? A) -5 B) -10 C) -4 D) -6 80) 81) 82) The sum of two consecutive even integers is 78. Find the larger number. 82) A) 36 B) 40 C) 48 D) 34 7

83) If the first and third of three consecutive odd integers are added, the result is 45 less than five times the second integer. Find the third integer. A) 17 B) 15 C) 30 D) 13 84) The second angle of a triangle is 3 times as large as the first. The third angle is 25 more than the first. Find the measure of the smallest angle. A) 155 B) 25 C) 65 D) 31 83) 84) 85) The complement of an angle measures 78 less than the angle. Find the measure of the angle. 85) A) 102 B) 84 C) 16 D) 174 86) Two angles are supplementary. If one angle measures 60 less than twice the measure of its supplement, find the measure of each angle. A) 40, 140 B) 10, 80 C) 80, 100 D) 40, 50 87) You are traveling to your aunt's house that is 204 miles away. If you are currently twice as far from home as you are from your aunt's, how far have you traveled? A) 34.0 miles B) 102.0 miles C) 136 miles D) 68 miles 88) Eric paid $569.27, including 6% tax, for an LCD computer monitor. How much did the computer monitor itself cost? A) $536.05 B) $537.05 C) $34.16 D) $605.61 89) The houses on the north side of Perry Street are consecutive odd numbers. Tom and Voula are next-door neighbors and the sum of their house numbers is 526. Find their house numbers. A) 264, 265 B) 262, 263 C) 262, 264 D) 263, 265 86) 87) 88) 89) Insert the symbol <, >,, or to make the pair of inequalities equivalent. 90) -4t -12; t 3 90) A) B) < C) D) > 91) -9z < 27; z -3 91) A) B) C) > D) < Classify the pair of inequalities as "equivalent" or "not equivalent." 92) -8f + 7 > 9; -8f > 16 92) A) Not equivalent B) Equivalent 93) -4s - 8 < 2; -4s < 10 93) A) Not equivalent B) Equivalent Determine whether the given number is a solution of the inequality. 94) x -13, -13 94) A) No B) Yes 95) x -1, 14.2 95) A) No B) Yes 8

Describe the graph using set-builder notation. 96) 96) A) {x x > -2} B) {x x < -2} C) {x x -2} D) {x x -2} 97) 97) A) {x x < -4} B) {x x -4} C) {x x -4} D) {x x > -4} Solve using the addition principle. Graph and write set-builder notation for the answer. 98) x + 1 21 > 4 21 98) A) x x > 1 7 B) x x > 1 7 C) x x < 2 7 D) x x > - 1 7 9

99) -9t - 6-10t - 10 99) A) {t t < -9} B) {t t -4} C) {t t -4} D) {t t > -9} Solve using the multiplication principle. Graph and write set-builder notation for the answer. 100) -2x < - 3 7 100) A) x x > 3 14 B) x x < - 1 7 C) x x > - 1 7 D) x x < - 3 14 10

101) - k 2 < 5 101) A) {k k > -10} B) {k k -10} C) {k k < -10} D) {k k -10} Solve using the addition and multiplication principles. 102) 0.6x + 19 + x > 2x + 17-0.5x 102) A) {x x > -20} B) {x x 2} C) {x x < 2} D) {x x < -20} 103) 6-10y - 9-11y - 7 103) A) {y y >-10} B) {y y -4} C) {y y <-10} D) {y y -4} 104) -18r - 27-3(5r + 16) 104) A) {r r < 7} B) {r r > 7} C) {r r 7} D) {r r 7} 105) 5 6 5x - 2 15-2 5 < 3 5 105) A) x x - 4 15 B) x x < 4 15 C) x x < - 4 15 D) x x 4 15 Choose the inequality which describes the sentence. 106) x is at most y 106) A) x < y B) x y C) x > y D) y x 107) y is no more than x 107) A) x < y B) x y C) y x D) y < x Translate the sentence to an algebraic inequality. 108) The cost is no more than $941.36. 108) A) x < 941.36 B) x 941.36 C) x 941.36 D) x > 941.36 109) A number is less than or equal to -5. 109) A) x < -5 B) x -5 C) x -5 D) x > -5 11

110) John weighs at least 64 pounds. 110) A) x 64 B) x < 64 C) x 64 D) x > 64 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the coordinates of the labeled points. 111) 111) Determine the quadrant in which the point is located. 112) (-9, 18) 112) 113) (0, -2) 113) Identify the quadrant with the given condition. 114) The first coordinate is positive. 114) 115) The second coordinate is negative. 115) 116) The coordinates have the same sign. 116) 117) The first and second coordinates have the opposite signs. 117) Decide whether or not the ordered pair is a solution to the equation. 118) 4x - 5y = 18; (2, 2) 118) 119) 2x + 3y = 25; (5, 5) 119) 120) y = -3x; (1, -3) 120) 12

Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. 121) y = x - 2; (7, 5), (1, -1) 121) 122) x + 2y = 8; (6, 1), (-4, 6) 122) Graph the equation. 123) y = 4x - 5 123) 13

124) 2x - y = -6 124) Find the equation for the graph. 125) 125) 126) 126) 14

Find the coordinates of the y-intercept and the coordinates of all x-intercepts. 127) 127) 128) 128) Find the intercepts for the equation. 129) 2x + y = 2 129) 130) -5x + 5y = 10 130) 131) y = 17 131) 132) x = 4 132) 15

Find the x- and y-intercepts for the equation. Then graph the equation. 133) 16y - 4x = -8 133) 134) y = -2x+ 6 134) Graph the equation. 135) x - y = 6 135) 16

136) 8x = -56 136) 137) 48 + 6y = 0 137) Write an equation for the graph. 138) 138) 17

139) 139) Identify the missing units for the given rate. 140) If a student drove 427 miles in 7 hours, his average rate was 61. 140) 141) If a construction worker layed 52 bricks along a 26-foot driveway border, his average rate was 2. 141) Solve the problem. 142) To the nearest dollar, the average tuition at a public four-year college was $3106 in 1998 and $3430 in 1999. Find, to the nearest dollar per year, the rate at which tuition was increasing. 142) 143) At 10:00 AM, Gavin rented a mountain bike. He returned the bike at 5:00 PM. He biked for 45.5 miles. He paid $42.00 for the rental. Find the rental rate, in dollars per mile. 143) 144) The following graph shows data for a recent train ride from New York to Toronto. At what rate did the train travel? 144) Time of Day (PM) 18

Make the most appropriate graph to match the situation. 145) Joe runs until he reaches the shore of a lake. He then rows a boat to the other side of the lake. He runs faster than he can row a boat. 145) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the base and the exponent. 146) (10x)15 146) A) Base: 25, exponent: 15 B) Base: 15, exponent: 10x C) Base: x, exponent: 15 D) Base: 10x, exponent: 15 147) 13x12 147) A) Base: x, exponent: 12 B) Base: 12, exponent: 13x C) Base: 13x, exponent: 12 D) Base: 25, exponent: 12 148) -610 148) A) Base: 10, exponent: -6 B) Base: 6, exponent: 10 C) Base: 10, exponent: 6 D) Base: -6, exponent: 10 Simplify. Assume that no denominator is zero and that 0 0 is not considered. 149) (6x5)(2x3) 149) A) 12x15 B) 8x15 C) 8x8 D) 12x8 150) 32m 6p2 8m10p A) 4m 4 p B) 4mp C) 4p m4 D) 4m4p2 150) Simplify. 151) (5 5 ) 2 151) A) 5 10 B) 5 7 C) 25 10 D) 25 7 152) (w 7 z) 4 (w 5 z 9 ) 152) A) w 33 z 13 B) w 12 z 13 C) w 16 z 13 D) w 140 z 36 19

153) (-5a5)3 153) A) (-5)15a5 B) -15a5 C) (-5)15a15 D) (-5)3a15 Express using positive exponents. Then, if possible, simplify. 1 154) x-3 A) 1 x3 B) 3x C) x-3 D) x3 154) 155) 5 6-2 155) A) 25 36 B) - 36 25 C) - 25 36 D) 36 25 Express the following using negative exponents. 156) 1 a 156) A) (-1) -a B) a C) a -1 D) 1 -a 157) 1 t 13 157) A) 13 -t B) 13 t C) t -13 D) t 13 Simplify. Do not use negative exponents in your answer. 158) (x -8 y 10 z 4 )(x -4 y -4 z 8 ) 158) y A) 6 1 x 12 z 12 B) x 7 y 12 z 4 C) x 4 y 6 z 12 D) y6 z 12 x 12 159) 2-4 2 5 159) A) 1 2 B) - 1 2 C) -2 D) 2 160) p 3 p -7 160) A) p -4 B) p -10 C) p 10 D) 1 p 10 161) 35x-6 yz 2 5x 2 y 4 z 161) A) 7z x 4 y 3 B) 7z x 8 y 3 C) 7 x 8 y 3 z D) 30z x 8 y 3 20

162) (x -2 y -4 ) -6 162) A) 1 x 12 y 24 B) x 12 y 24 C) x12 y 24 D) y24 x 12 163) x 5 y 5 wz 6-5 163) A) x25 y 25 w 5 z 30 B) w5 z 30 x 25 y 25 C) wz 30 x 25 y 25 D) x 25 y 25 w 5 z 30 164) x 3 5-2 164) A) 25 x 6 B) 25x 6 C) x6 25 D) 1 25x 6 165) 7x -4 4y -2 z 0 165) A) 0 B) 7y2 z 4x 4 C) 1 D) 7y 2 4x 4 z Convert to decimal notation. 166) 5.589 106 166) A) 5,589,000 B) 55,890,000 C) 335.34 D) 558,900 167) 8.89 10-4 167) A) 0.000889 B) 0.00889 C) 0.0000889 D) -889,000 Convert to scientific notation. 168) 49,000 168) A) 4.9 103 B) 4.9 104 C) 4.9 10-4 D) 4.9 10-3 169) 0.000696 169) A) 6.96 10-3 B) 6.96 104 C) 6.96 10-5 D) 6.96 10-4 Perform the indicated operation. Write the answer in scientific notation. 170) (8.8 10-4 )(8.1 10 8 ) 170) A) 1.86 10 4 B) 7.128 10 5 C) 16.9 10 12 D) 7.128 10 4 Determine the leading term, leading coefficient, and the degree of the polynomial. 171) -2x 2 + 2x 3 + 5x 4 + 1 171) A) -2x 2, -2, 2 B) -2x 2, 2, 2 C) 5x 4, 5, 4 D) 2x 3, 2, 3 21

Identify the polynomial as a monomial, binomial, trinomial, or none of these. 172) -8x 172) A) Monomial B) Binomial C) None of these D) Trinomial 173) 6z5 + 9z4-5z3 + 12 173) A) Binomial B) Trinomial C) None of these D) Monomial 174) 3 174) A) None of these B) Monomial C) Binomial D) Trinomial Evaluate the polynomial. 175) 6x2 + 5x + 3 for x = -3 175) A) -30 B) 32 C) 42 D) 38 Multiply. 176) -9x7(-9x5 + 5) 176) A) 81x5-45 B) 81x12-45x7 C) 36x7 D) 81x12 + 5 177) (x 2 - x - 4)(x - 1) 177) A) x 3-3x + 4 B) x 3-2x 2-5x - 4 C) x 3-2x 2-4x + 4 D) x 3-2x 2-3x + 4 178) z - 5 3 z 2 + 5z - 1 178) A) z 3 + 10 3 z2-28 3 z + 5 3 C) z 3-5 3 z2-25 3 z + 5 3 B) z 3 + 20 3 z2 + 28 3 z + 5 3 D) z 3-25 3 z + 5 3 179) (3x - 5)(x - 8) 179) A) 3x2-29x - 29 B) 3x2 + 40x - 29 C) 3x2-31x + 40 D) 3x2-29x + 40 180) (4x - 4)(4x + 4) 180) A) 4x2 + 32x - 16 B) 16x2 + 32x - 16 C) 16x2-16 D) 16x2-32x - 16 181) (8x 4-1)(8x 4 + 1) 181) A) 64x 8-1 B) 64x 16-1 C) 64x 8 + 1 D) 64x 8-8x 4-1 182) t + 9 5 t + 9 5 182) A) t 2 + 9 5 t + 81 25 B) t 2-81 25 C) t 2 + 18 5 t + 81 25 D) t 2 + 81 25 183) (13 p + 6 )( 13 p - 6 ) 183) A) p2-36 B) 169p2 + 156 p - 36 C) 169p2-36 D) 169p2-156 p - 36 22

184) (-5 + 3x)(5 + 3x) 184) A) 9x2 + 30x - 25 B) -25-9x2 C) 25-9x2 D) 9x2-25 185) (-3x - 1)(3x - 1) 185) A) 9x2-1 B) -9x2 + 1 C) -9x2-1 D) 9x2 + 6x + 1 186) (4n 6 + 6)(4n 6-6) 186) A) 4n 12-36 B) 16n 12 + 36 C) 16n 12-24n 6-36 D) 16n 12-36 187) (w - 4)2 187) A) w2-8w + 16 B) w2 + 16 C) w + 16 D) 16w2-8w + 16 188) (9m + 2)2 188) A) 81m2 + 4 B) 9m2 + 36m + 4 C) 81m2 + 36m + 4 D) 9m2 + 4 189) s - 5 9 2 189) A) s 2-10 81 s + 25 81 B) s 2-10s + 25 C) s 2-10 9 s + 25 81 D) s 2-25 9 s + 25 81 190) (-7m + 3)(7m2 + m - 2) 190) A) 0m2 + 17m - 6 B) -49m3 + 17m - 6 C) -49m3 + 28m2 + 17m - 6 D) -49m3 + 14m2 + 17m - 6 191) (-8 x - 3 )2 191) A) -8 x2 + 9 B) 64 x2 + 48 x + 9 C) 64 x2 + 9 D) -8 x2 + 48 x + 9 192) (-2y - 1)(8y 2 - y - 2) 192) A) 10y2 + 5y + 2 B) -16y3 + 5y + 2 C) -16y3-6y2 + 5y + 2 D) -16y3-10y2 + 5y + 2 23

Find the total area of all shaded rectangles. 193) 193) 8 x x 4 A) x 2 + 8x + 32 B) x 2 + 32 C) x 2 + 12x + 32 D) x 2 + 12 Evaluate as requested. 194) Evaluate the polynomial -2x 2 - y 2 + xy for x = -3 and y = 5. 194) A) -58 B) 28 C) -28 D) -8 195) Evaluate the polynomial -xyz + x 5 + z 4 for x = 1, y = -1, and z = 3. 195) A) 247 B) 85 C) 79 D) 88 Identify the coefficient and degree of the term. 196) -9x8y4 196) A) -9, 8 B) 9, 32 C) -9, 12 D) 9, 12 Find the degree of the given polynomial. 197) z 7 y + 3 - x 7 + z 6 x 3 197) A) 8 B) 7 C) 9 D) 3 198) -6y 5-2x 4 z + 6xz 4 198) A) 5 B) 3 C) 4 D) 1 Multiply. 199) (x + y - 2)(x + y + 2) 199) A) x 2 + 2xy + y 2 + 4x + 4y - 4 B) x 2 + y 2-4 C) x 2 + 2xy + y 2-4 D) x 2 + 4xy + y 2-4 200) [(2x - y) + 4z][(2x - y) - 4z] 200) A) 4x2-4xy + y2 + 16xz + 8yz - 16z2 B) 4x2 + y2 + 16xz + 8yz - 16z2 C) 4x2-4xy + y2-16z2 D) 4x2 + y2-16z2 24

Find a polynomial for the shaded area. 201) 201) x - 5y x + y A) 1 2 x2 + 2xy - 5 2 y2 B) 1 2 x2-5 2 y2 C) 1 2 x2-2xy - 5 2 y2 D) 1 2 x2 + 3xy - 5 2 y2 Perform the indicated operation. 202) 27x 6 + 30x2 + 15x 3x A) 9x5 + 10x + 5 B) 27x5 + 30x + 15 C) 9x6 + 10x2 + 5x D) 9x6 + 30x2 + 15x 202) 203) 24x 2 + 8x - 9 4 203) A) 6x2 + 2x - 9 4 B) 6x2 + 8x - 9 C) 24x2 + 8x - 9 D) 6x + 2-9 4 204) 15m5 n - 30m 4 n 3 + 35m 3 n 5 5m 2 n A) 16 B) 3m 3-6m 2 n 2 + 7mn 4 C) 3m 3-30m 4 n 3 + 35m 3 n 5 D) 3m 7-6m 6 n 4 + 7m 5 n 6 204) Divide. 205) (9 m2 + 19 m - 24 ) (m + 3 ) 205) 7 A) 9 m - 8 B) 9 m - 8 + m - 8 C) m - 8 D) 9 m + 8 206) x2-11 x - 4 A) x + 5 B) x + 5 x - 4 C) x + 4 + 5 x - 4 D) x + 4 206) 25

207) x3 + 8 x + 2 207) A) x 2-4x + 2 B) x 2-2x + 4 C) x 2-2 D) x 2 + 4 208) -12x 3 + 15x2-11x + 2 4x - 1 208) A) -3x2-2 B) x2 + 3x - 2 C) x2-3x + 2 D) -3x2 + 3x - 2 209) (x 4-3x 2 + 4x - 7) (x 2-4) 209) A) x 2-1 + 4x + 3 x 2 B) x 2-1 + 4x - 3-4 x 2 C) x 2 + 1 + 4x + 3-4 x 2 D) x 2 + 1 + 4x - 3-4 x 2-4 210) (6x 4 + 2x 2 + 6x - 5) (2x 2 + 2) 210) A) 3x 2-2 + 6x - 1 2x 2 B) 3x 2-2 + 6x + 1 + 2 2x 2 + 2 C) 3x 2-2 + x - 1 2x 2 + 2 D) 3x 2 + 2 + 6x - 1 2x 2 + 2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Make the most appropriate graph to match the situation. 211) In the morning Brenda drives away from home at a steady speed. She stops for breakfast. She then continues to drive at a steady but faster speed. 211) 26

Use the graph to solve the problem. 212) Find the rate of change in the temperature. 212) 213) Find the rate of change in Carlos's weight. 213) months since start of diet Find the slope of the line, or state that the slope is undefined if appropriate. 214) 214) 27

215) 215) 216) (3, 3) (3, -3) 216) 217) (-2, 1) (5, 1) 217) Find the slope of the line containing the given pair of points. If the slope is undefined, state so. 218) (3, 2) and (-5, 9) 218) 28

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor by grouping, if possible. 219) 15x3 + 12x 2-20x - 16 219) A) (15x - 4)(x 2 + 4) B) (5x - 4)(3x 2 + 4) C) (5x + 4)(3x 2-4) D) (5x 2 + 4)(3x - 4) List all numbers for which the rational expression undefined. x 220) 2-64 x 2 + 4x - 12 A) 0 B) -2, 6 C) -6, 2 D) -8, 8 220) Simplify, if possible. 221) m 2-16 m 2-8m + 16 221) A) m + 4 m - 4 B) m - 4 m + 4 C) 1 D) 1 m - 4 222) t 2-4t - 12 t 2 + 11t + 18 222) A) -4t + 12 11t - 11 B) - t2-4t - 12 t 2 + 11t + 18 C) -4t - 12 11t + 18 D) t - 6 t + 9 223) m6-8 m 2-2 223) A) (m2 + 2)(m 4-2m 2 + 4) m 2-2 B) m 2 + 2m + 4 C) m 4 + 2m 2 + 4 D) m 4-2m 2 + 4 224) t 3 + 64 t 3-4t 2 + 16t 224) A) t - 4 4 B) t - 4 t C) t + 16 t D) t + 4 t 225) x - 6 6 - x A) -1 B) x - 6 6 - x C) -x D) 1 225) 29

226) x + 9 x - 9 A) x + 9 x - 9 B) 1 C) -1 D) -9 226) 227) m 2-9m 9 - m A) m B) m + 3 C) -m D) -(m + 3) 227) 228) (x2 - y 2 )(x 2 + 2xy - 3y 2 ) (x + y) 2 (x 2-2xy + y 2 ) 228) A) x + 3y x - y B) x + 3y C) x + 3y x + y D) x - 3y x - y Multiply and, if possible, simplify. 229) x2 + 13x - 30 8x x 6 x + 15 A) (x - 2) 8(x - 2) 8(x + 2) 8(x + 2) 8x 5 B) x 5 C) x 7 D) x 5 229) 230) 3x + 3 x + 2 4x2 + 16x + 16 x 2-1 230) A) 12(x + 2) x - 1 B) 3(x + 2) x - 1 C) 12(x + 2) x + 1 D) 12(x + 1)(x + 2) x 2-1 231) k 2 + 6k + 8 k k 2 2 + 8k + 10k + 16 k 2 + 6k + 8 231) A) 1 k + 2 B) k k + 2 C) k2 + 8k k + 2 D) k k 2 + 10k + 16 232) t5 + 27t 2 t 2-9 A) t 2 + 6t + 9 t 5-3t 4 + 9t 3 232) (t + 3)2 t(t - 3) B) t(t + 3) C) (t + 3) t(t - 3) D) t2-3t + 9 t(t - 3) Divide and, if possible, simplify. x 233) 2-4 9x 2-1 x - 2 1-3x A) - x + 2 3x + 1 C) x + 2 3x + 1 B) D) - x - 2 3x - 1 (x + 2)(x - 2)2 (3x + 1)(3x - 1) 2 233) 30

234) y3 + 3y y 2 y2-4y - 45-9 y 2-12y + 27 234) A) y(y 2 + 3) (y + 3)(y + 5) B) (y - 3)(y - 5) y(y 2 + 3) C) (y + 3)(y + 5) y(y 2 + 3) D) y y + 5 235) x 3-64y 3 x 2 + 4xy + 16y 2 x 2-16y 2 x 2 + 7xy + 12y 2 235) A) 1 x + 3y B) x + 3y C) (x + 3y)(x - 4y) D) 1 Simplify, if possible. 236) 5x 2-24xy - 5y2 y2 + 4xy - 5x2 y2 + 2xy - 3x2 15x2 + 8xy + y2 3x 2-14xy - 5y2 15x2 + 2xy - y2 236) A) (y + 3x) 2 2x - y B) 1 C) x - 5y y + 5x D) 5x - y 5x + y 237) 12s 2 + 7st + t2 2s2-3st - 2t2 5s 2-11st + 2t2 t2 + 3st - 4s2 15s 2 + 2st - t2 2s2 + 3st + t2 237) A) (t + 3s) (t + s)(t - s) C) (t + 3x) 2(5x - t)2 (4s + t)2(t2 - s2) B) t + s t - s D) 1 Perform the indicated operation. Simplify, if possible. 2 238) 3 x - 4-7 4-3 x 238) A) 9 3 x - 4 B) -9 3 x - 4 C) -5 3 x - 4 D) 5 3 x - 4 239) t + 4 6 t 3 + - 8 8 - t 3 239) A) t 2 1 + 2t + 4 B) t 2 + 2t + 4 t + 10 t + 10 C) (t + 2)(t 2 D) - 2t + 4) (t - 2)(t 2 + 2t + 4) 240) 1-7m 1 - m 3-6 m 3-1 240) A) 7 m 2 - m + 1 B) 7m - 5 (m - 1)(m 2 + m + 1) C) 7 m 2 + m + 1 D) 7m - 5 (m + 1)(m 2 - m + 1) 31

241) b b2-25 + 5 b + 5-6 b A) C) -25(b - 6) b(b + 5)(b - 5) 25(b - 6) (b + 5)(b - 5) B) 25(b + 6) b(b + 5)(b - 5) D) 6b 2-25b + 150 b(b + 5)(b - 5) 241) 242) 2ab a2 - b2 - A) 3a + 4b a + b b a - b + 3 242) B) (a - b)(3a + 4b) a2 - b2 C) 2ab - b + 3 a + b + 1 D) 3a + 4b a2 - b2 243) 5(y - 1) 3y - 8 - y - 5 8-3y - 6y 3y - 8 243) A) -2y 3y - 8 B) 10 3y - 8 C) -10 3y - 8 D) -10 (3y - 8)(8-3y) 244) -36 x 7 (6 x + 1) + 1 7 x( 6 x + 1) - 1 x A) - 6 (x + 1 ) 7 x B) -36 x 2-42 x - 6 7 x 244) C) - 6 (x + 1 ) 42 x2 + 7 x D) -36 x 2-42 x - 6 42 x2 + 7 x Simplify. 245) 1 + 3 4 1 + 1 12 245) A) 7 13 B) 21 13 C) 1 D) 21 4 246) 9 - y 9 1 9-1 y 246) A) -y B) y C) - 1 y D) - 9 y 32

247) x 2 - y 2 y x - y y 3 A) x - y y 2 B) y 2 (x + y) C) x + y D) x + y y 2 247) 248) 6 x - 8 x 3 x 3-5 x 2 248) A) x - 8 6-5x B) x - 8 5x - 6 C) x - 8 6x - 5x 2 D) x2-8x 6-5x 249) x x + 2 + 5 x + 3 3 x + 3 - x x + 2 249) A) x2 + 8x + 10 x 2 + 6x + 6 B) x2 + 8x + 10 -x 2 + 6 C) x2 + 7x + 15 -x 2 + 6 D) x2 + 7x + 15 x 2 + 6x + 6 250) 1 a - 1 b 1 a 3-1 b 3 250) A) a 2 b 2 a 2 - ab + b 2 B) 1 a 2 + ab + b 2 C) ab a 2 + ab + b 2 D) a 2 b 2 a 2 + ab + b 2 Solve. If no solution exists, state this. 251) 8 7-20 21 = 1 x 251) A) 1 B) 21 4 C) 21 2 D) 7 4 252) x + 24 x = 11 252) A) -8, -3 B) 24 C) 8, 3 D) 11, 24 253) 1 5x + 1 2x = - 1 10 A) -7 B) 7 C) No solution D) -8 253) 33

254) x - 9 x - 8 = 6 8 - x 255) A) 3 B) -3 C) 15 D) -15 3 y + 5-5 y - 5 = 8 y2-25 A) -24 B) 48 C) 32 D) 24 254) 255) 256) 1 x 2 + - 5x + 6 2 x 2 + 2x - 8 3 = x 2 + 5x + 4 256) A) 13 8 B) - 1 C) 5 4 D) 7 8 257) m + 2 2 m - 2 m 2 - + 3 m - 10 m 2 = - 4 m + 4 m 2 + 3 m - 10 A) 24 B) -9 C) 9 D) 18 257) 258) 259) 2 t - 5 = t - 3 t - 5 A) 5 B) -1 C) -5 D) No solution -4 3x + 12 = x 3x + 12 258) 259) A) No solution B) 4 C) - 3 4 D) -4 Solve. 260) Martha can rake the leaves in her yard in 4 hours. Her younger brother can do the job in 5 hours. How long will it take them to do the job if they work together? 9 20 A) hr B) 5 hr C) hr D) 20 hr 20 9 260) 261) One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone? 261) A) 5 hr B) 3 hr C) 3 4 hr D) 4 hr 262) Amy can clean the house in 8 hours. When she works together with Tom, the job takes 4 hours. How long would it take Tom, working by himself, to clean the house? 262) A) 4 hr B) 9 hr C) 8 1 4 hr D) 8 hr 34

Solve the problem. 263) A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking, what was each rate? A) Bike: 11.5 mph Hike: 1.5 mph B) Bike: 12 mph Hike: 2 mph C) Bike: 13 mph Hike: 3 mph D) Bike: 14.5 mph Hike: 4.5 mph 264) Jim and Steve's motorboats both travel at the same speed. Jim pilots his boat 50 miles before docking. Steve continues for another 4 hours, traveling a total of 90 miles before docking. How long did it take Jim to navigate the 50 miles? A) 9 hr B) 10 hr C) 2 hr D) 5 hr 265) The speed of a stream is 5 mph. If a boat travels 50 miles downstream in the same time that it takes to travel 25 miles upstream, what is the speed of the boat in still water? A) 10 mph B) 17 mph C) 15 mph D) 18 mph 263) 264) 265) Solve. 266) Dr. Wong can see 9 patients in 3 hours. At this rate, how long would it take her to see 90 patients? 266) A) 270 hours B) 30 hours C) 29 hours D) 27 hours 267) If a boat uses 21 gallons of gas to go 67 miles, how many miles can the boat travel on 84 gallons of gas? A) 268 miles B) 536 miles C) 16 miles D) 288 miles 267) Factor by grouping, if possible. 268) x 3 + 7x 2-2x - 14 268) A) (x - 2)(x 2 + 7) B) (x - 7)(x 2-2) C) (x + 7)(x 3-2x) D) (x + 7)(x 2-2) Factor completely. If the polynomial is prime, state this. 269) 4x 4 + 12x 3-160x 2 269) A) 4x 2 (x - 5)(x + 8) B) 4(x 2-5)(x 2 + 8) C) x 2 (4x - 20)(x + 8) D) x 2 (x - 5)(4x + 32) 270) 3a 3 + 6a 2-24a 270) A) 3a(a + 4)(a - 2) B) 3a(a + 4)(a + 2) C) 3a(a - 4)(a + 2) D) 3a(a - 4)(a - 2) 271) x 2 + 4 5 x + 4 25 271) A) x + 4 5 x + 2 5 B) x 2 + 2 5 2 C) x + 2 5 x + 2 5 x D) x + 2 5 2 272) x 2-4 7 x + 3 49 272) A) x - 3 49 (x - 1) B) x - 3 7 x + 1 7 C) x - 3 7 x - 1 7 D) x - 1 49 (x - 3) 35

273) 12x2 + 17x + 6 273) A) (3x + 1)(4x + 6) B) (12x + 1)(x + 6) C) (3x - 2)(4x - 3) D) (3x + 2)(4x + 3) 274) 9t2-18t + 8 274) A) (3t + 2)(3t + 4) B) Prime C) (3t - 2)(3t - 4) D) (9t - 2)(t - 4) 275) 8z2-6z - 9 275) A) (2z + 3)(4z - 3) B) (8z + 1)(z - 9) C) (2z - 3)(4z + 3) D) (8z - 3)(z + 3) 276) 9x 2-6x + 1 276) A) (3x + 1) 2 B) (3x - 1) 2 C) Prime D) (9x - 1)(x - 1) 277) -30a2-5a + 75 277) A) (3a + 5)(-10a + 15) B) (-15a - 25)(2a - 3) C) -5(3a + 5)(2a - 3) D) -5(3a - 5)(2a + 3) Factor by grouping. 278) 6x 2-3x - 14x + 7 278) A) 6(x - 1)(x - 7) B) (2x - 1)(3x - 7) C) (x - 1)(x - 7) D) (2x + 1)(3x - 7) Factor completely. If the polynomial is prime, state this. 279) 9x2-3xt - 2t2 279) A) (3x + t)(3x - 2t) B) (9x + t)(x - 2t) C) (3x - t)(3x + 2t) D) Prime 280) 6x2-18xy - 24y2 280) A) 6(x + y)(x - 4y) B) (6x - 6y)(x + 4y) C) 6(x - y)(x + 4y) D) (x - y)(6x + 18y) 281) 12x 2 + 10xy - 12y 2 281) A) 2(6x 2 + 5xy - 6y 2 ) B) 2(3x - 2y)(2x - 3y) C) 2(3x + 2y)(2x - 3y) D) 2(3x - 2y)(2x + 3y) 282) x2-18xy + 81y2 282) A) Prime B) (x - 9y)(x + 9y) C) (x + 9y)2 D) (x - 9y)2 283) x2-4x + 16 283) A) (x + 4)2 B) Prime C) (x - 4)2 D) (x + 4)(x - 4) 284) 25-80x + 64x 2 284) A) (x - 5) 2 B) (8x + 5) 2 C) Prime D) (8x - 5) 2 285) 5t 3-60t 2 + 180t 285) A) 5t(t - 6) 2 B) t(5t - 6) 2 C) 5(t 2-6t)(t - 6) D) t(t - 6)(5t - 30) 36

286) -81 + t 2 286) A) (t + 81)(t - 81) B) (t + 9)(t - 9) C) (t 2 + 9)(t 2-9) D) (t - 9) 2 287) 49k2-16m2 287) A) (49k + m)(k - 16m) B) (7k - 4m)2 C) (7k + 4m)2 D) (7k + 4m)(7k - 4m) 288) 100x 2-16 288) A) (20x + 8)(5x - 2) B) (5x + 2)(20x - 8) C) 4(5x + 2)(5x - 2) D) 4(5x - 2) 2 289) 75-147y 2 289) A) 3(5 + 7y)(5-7y) B) 3(5 + 7y) 2 C) (15 + 21y)(5-7y) D) 3(5-7y) 2 290) 64y4-81 290) A) (8y2 + 9)2 B) (8y2-9)2 C) (8y2 + 9)(8y2-9) D) Prime 291) x 4-1 291) A) (x + 1) 2 (x - 1) 2 B) (x 2-1)(x - 1)(x + 1) C) (x 2 + 1)(x 2-1) D) (x 2 + 1)(x - 1)(x + 1) Factor completely. 292) x3-8 292) A) (x + 8)(x2-1) B) (x - 2)(x2 + 4) C) (x + 2)(x2-2x + 4) D) (x - 2)(x2 + 2x + 4) 293) t3 + 343 293) A) (t - 7)(t2 + 7t + 49) B) (t - 343)(t2-1) C) (t + 7)(t2 + 49) D) (t + 7)(t2-7t + 49) 294) 512s3 + 1 294) A) (8s - 1)(64s2 + 8s + 1) B) (8s + 1)(64s2-8s + 1) C) (8s + 1)(64s2 + 1) D) (512s + 1)(s2-8s + 1) 295) x 6 + 1 295) A) (x + 1)(x - 1)(x 2 + x + 1)(x 2 - x + 1) B) (x 3 + 1)(x 3-1) C) (x 2 + 1)(x 4 - x 2 + 1) D) (x + 1)(x - 1)(x 4 - x 2 + 1) 37

296) p 6-64y 6 296) A) (p + 2y)(p - 2y)(p 4 + 4p 2 y 2 + 16y 4 ) B) (p 2-4y 2 )(p 4 + 4p 2 y 2 + 16y 4 ) C) (p 3 + 8y 3 )(p 3-8y 3 ) D) (p + 2y)(p - 2y)(p 2 + 2py + 4y 2 )(p 2-2py + 4y 2 ) Factor completely. If the polynomial is prime, state this. 297) 4x2 + 9 297) A) (2x + 3)(2x - 3) B) (2x - 3)2 C) Prime D) (2x + 3)2 298) y 5-81y 298) A) Prime B) y(y 2 + 9)(y + 3)(y - 3) C) y(y + 3) 2 (y - 3) 2 D) y(y 2 + 9)(y 2-9) 299) 27x 3-125y 3 299) A) (27x - 5y)(x 2 + 15xy + 25y 2 ) B) (3x + 5y 2 )(9x 2-15xy + 25y 2 ) C) (3x - 5y)(9x 2 + 15xy + 25y 2 ) D) (3x - 5y)(9x 2 + 25y 2 ) 300) 125x 6 + 8 300) A) (5x 2 + 2)(25x 4-10x 2 + 4) B) (5x 2-2)(25x 4 + 10x 2 + 4) C) (5x + 2)(25x 2-10x + 4) D) (5x + 2)(25x 4-10x 2 + 4) 301) 6b + 6w - b 2 - bw 301) A) (b + w)(6 - b) B) (b + w)(6 - w) C) (b - w)(6 - b) D) (b - w)(6 + b) 302) x 3-4x 2-16x + 64 302) A) (x + 16)(x 2-4) B) (x - 4) 2 (x + 4) C) (x + 4) 2 (x - 4) D) (x 2 + 16)(x - 4) Solve using the principle of zero products. 303) x(3x + 6) = 0 303) A) 0, 1 2 B) 0, 2 C) 0, - 1 2 D) 0, -2 Solve by factoring and using the principle of zero products. 304) b 2 + 18b = 0 304) A) 0, 18 B) 1, -18 C) -18, 0 D) -1, -18 305) 2x 2 + 4 = x 2 + 5x 305) A) 2, 5 2 B) 2 C) 5, -4 D) 4, 1 2 38

Solve. 306) Use the given graph of y = x 2-3x - 4 to solve x 2-3x - 4 = 0. 306) A) 4, 1 B) -4, -1 C) -1, 4 D) -4, 1 Find the x-intercepts for the graph of the equation. 307) y = x2 - x - 42 307) A) (-6, 0), (7, 0) B) (1, 0), (-42, 0) C) (-7, 0), (-6, 0) D) (13, 0) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the slope of the line containing the given pair of points. If the slope is undefined, state so. 308) (-7, -9) and (-7, 3) 308) 309) (7, 7) and (-7, 7) 309) 310) (2, 2) and (8, 11) 310) Find the slope of the line. If the slope is undefined, state so. 311) x = -3 311) 312) y = 4 312) 39

Draw a line that has the given slope and y-intercept. 313) Slope - 1 ; y-intercept (0, 3) 313) 4 314) Slope 1 ; y-intercept (0, 4) 314) 3 Find the slope and the y-intercept of the line. 315) -6x + 8y = -8 315) 316) y = 15 4 x - 5 316) 317) y - 8 = 3 317) Find the slope-intercept equation for the line with the indicated slope and y-intercept. 318) Slope - 5 ; y-intercept (0, 4) 318) 8 319) Slope 4; y-intercept (0, 0) 319) 40

Graph the linear equation. 320) y = - 3 4 x - 3 320) Determine whether the pair of equations represents parallel lines. 321) 3x - 8y = 13 32x + 12y = 13 321) 322) 9x + 3y = 12 6x + 2y = 9 322) 323) y = 3x - 5 9x + 3y = 6 323) Write an equation in slope-intercept form of the line satisfying the given conditions. 324) Parallel to 4x - 7y = 29, y-intercept (0, -5) 324) 325) Perpendicular to 6x - 5y = 8 and the same y-intercept as 4x + 3y = 5. 325) 326) Through (-1, 12), parallel to -3x + 2y = 13 326) 327) Through (-8, 4), perpendicular to 9x - 8y = -40 327) Determine whether the pair of equations represents perpendicular lines. 328) 4x - 6y = -5 36x + 12y = -5 328) 329) 3x - 6y = -4 18x + 9y = -4 329) For the point-slope equation given, state the slope and the point on the graph used in creating the equation. 330) y - 1 = 4(x - 7) 330) 331) y + 4 = 6x 331) 41

332) y = 1 (x - 5) 332) 2 333) y = - 1 2 x 333) Graph the line. 334) y - 1 = - 1 (x - 4) 334) 4 335) y - 1 = 1 (x + 3) 335) 2 Find an equation for the described linear function. 336) Through (0, 1) and parallel to y = -9x - 8 336) 337) Through 0, 7 8 and perpendicular to 7x - 9y = 3 337) Find an equation in point-slope form of the line having the specified slope and containing the point indicated. 338) m = -4, (-8, 9) 338) 42

339) m = 5, (-5, 6) 339) 6 Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. 340) m = -9; (4, -3) 340) 341) m = 9; (-9, 0) 341) 342) m = 8; (0, -9) 342) Find an equation of the line containing the given pair of points. Write your final answer as a linear function in slope-intercept form. 343) (-4, 7) and (-2, 10) 343) 344) (3, -6) and (7, -6) 344) Solve the problem. 345) The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 41 months. 345) 346) In 1900 the population of a midwest city was 15,000. By 1910 it had grown to 17,000. If it continues to grow at the same rate, what will the population be in 1932? Give your answer to the nearest whole number. 346) 43

Answer Key Testname: M115REVIEW 1) A 2) B 3) D 4) B 5) B 6) C 7) C 8) A 9) B 10) B 11) C 12) A 13) B 14) A 15) D 16) B 17) A 18) D 19) C 20) B 21) 9 + (a + b) = (9 + a) + b Using the associative law = b + (9 + a) Using the commutative law 22) x(y5) = (xy)5 Using the associative law = 5(xy) Using the commutative law 23) ( 2)m = (2 )m Using the commutative law = 2( m) Using the associative law 24) s(t2) = (t2)s Using the commutative law = (2t)s Using the commutative law = 2(ts) Using the associative law 25) (y + z) + 7 = 7 + (y + z) Using the commutative law = 7 + (z + y) Using the commutative law = (7 + z) + y Using the associative law 26) (9 + y) + 3 = (y + 9) + 3 Using the commutative law = y + (9 + 3) Using the associative law = y + 12 Simplifying 27) (x + 8) + 6 = x + (8 + 6) Using the associative law = x + 14 Simplifying = 14 + x Using the commutative law 28) (8w)5 = 5(8w) Using the commutative law = (5 8)w Using the associative law = 40w Simplifying 29) (z2)6 = z(2 6) Using the associative law = z(12) Simplifying = 12z Using the commutative law 30) B 31) B 32) D 33) D 34) C 35) C 44

Answer Key Testname: M115REVIEW 36) A 37) B 38) B 39) D 40) A 41) C 42) A 43) A 44) B 45) B 46) B 47) A 48) C 49) B 50) D 51) A 52) B 53) D 54) A 55) D 56) D 57) D 58) A 59) C 60) D 61) C 62) B 63) A 64) D 65) A 66) D 67) B 68) A 69) B 70) A 71) A 72) C 73) C 74) B 75) D 76) C 77) A 78) B 79) D 80) C 81) A 82) B 83) A 84) D 85) B 45

Answer Key Testname: M115REVIEW 86) C 87) C 88) B 89) C 90) A 91) C 92) A 93) B 94) B 95) A 96) A 97) B 98) A 99) C 100) A 101) A 102) A 103) D 104) D 105) B 106) B 107) C 108) C 109) C 110) A 111) A(-5, 0); B(1, -1) 112) Quadrant II 113) None 114) I and IV 115) III and IV 116) I and III 117) II and IV 118) No 119) Yes 120) Yes 121) Show that (7, 5) is a solution: y = x - 2 5 =? 7-2 5 =? 5 TRUE Show that (1, -1) is a solution: y = x - 2-1 =? 1-2 -1 =? -1 TRUE Coordinates of the additional solution may vary but should satisfy y = x - 2. 46

Answer Key Testname: M115REVIEW 122) Show that (6, 1) is a solution: x + 2y = 8 6 + 2(1) =? 8 6 + 2 =? 8 8 =? 8 TRUE Show that (-4, 6) is a solution: x + 2y = 8-4 + 2(6) =? 8-4 + 12 =? 8 8 =? 8 TRUE Coordinates of the additional solution may vary but should satisfy x + 2y = 8. 123) 124) 125) y = 2 7 x + 2 126) y = - x + 5 127) (0, -5), (-7, 0) 128) (0, 6), (-3, 0), (-2, 0), (1, 0) 129) (1, 0), (0, 2) 130) (-2, 0), (0, 2) 131) (0, 17) 132) (4, 0) 47

Answer Key Testname: M115REVIEW 133) 0, - 1 2, 2, 0 134) (0, 6), (3, 0) 135) 48

Answer Key Testname: M115REVIEW 136) 137) 138) x = -3 139) y = -1 140) miles per hour, or miles/hour 141) bricks per foot, or bricks/foot 142) $324 per year 143) $0.92/mi 144) 50 miles per hour 145) 146) D 147) A 49

Answer Key Testname: M115REVIEW 148) B 149) D 150) C 151) A 152) A 153) D 154) D 155) D 156) C 157) C 158) D 159) D 160) C 161) B 162) B 163) B 164) A 165) C 166) A 167) A 168) B 169) D 170) B 171) C 172) A 173) C 174) B 175) C 176) B 177) D 178) A 179) D 180) C 181) A 182) C 183) C 184) D 185) B 186) D 187) A 188) C 189) C 190) D 191) B 192) C 193) C 194) A 195) B 196) C 197) C 50

Answer Key Testname: M115REVIEW 198) A 199) C 200) C 201) C 202) A 203) A 204) B 205) A 206) C 207) B 208) D 209) D 210) A 211) 212) 3 degrees per hour 213) -6 pounds per month 214) 2 3 215) - 3 2 216) Undefined 217) 0 218) - 7 8 219) C 220) C 221) A 222) D 223) C 224) D 225) A 226) A 227) C 228) C 229) B 230) A 51

Answer Key Testname: M115REVIEW 231) B 232) A 233) A 234) A 235) B 236) D 237) B 238) A 239) B 240) C 241) A 242) A 243) C 244) A 245) B 246) A 247) B 248) A 249) B 250) D 251) B 252) C 253) A 254) A 255) A 256) C 257) C 258) D 259) A 260) C 261) D 262) D 263) B 264) D 265) C 266) B 267) A 268) D 269) A 270) A 271) D 272) C 273) D 274) C 275) C 276) B 277) C 278) B 279) A 280) A 52

Answer Key Testname: M115REVIEW 281) D 282) D 283) B 284) D 285) A 286) B 287) D 288) C 289) A 290) C 291) D 292) D 293) D 294) B 295) C 296) D 297) C 298) B 299) C 300) A 301) A 302) B 303) D 304) C 305) D 306) C 307) A 308) Undefined 309) 0 310) 3 2 311) Undefined 312) 0 313) 53

Answer Key Testname: M115REVIEW 314) 315) 3 ; (0, -1) 4 316) 15 ; (0, -5) 4 317) 0; (0, 11) 318) y = - 5 8 x + 4 319) y = 4x 320) 321) No 322) Yes 323) No 324) y = 4 7 x - 5 325) y = - 5 6 x + 5 3 326) y = 3 2 x + 27 2 327) y = - 8 9 x - 28 9 328) No 329) Yes 330) m = 4; (7, 1) 331) m = 6; (0, -4) 54

Answer Key Testname: M115REVIEW 332) m = 1 ; (5, 0) 2 333) m = - 1 ; (0, 0) 2 334) 335) 336) y = -9x + 1 337) y = - 9 7 x + 7 8 338) y - 9 = -4(x + 8) 339) y - 6 = 5 (x + 5) 6 340) f(x) = -9x + 33 341) f(x) = 9x + 81 342) f(x) = 8x - 9 343) f(x) = 3 2 x + 13 344) f(x) = -6 345) $106,700 346) 21,400 55