Expressions and Equations Post Assessment
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1 Name Expressions and Equations Post Assessment Class Date Multiple-Choice Identify the letter of the choice that best completes the statement or answers the question. Bubble in the answer for each question on your answer sheet (2 points each) 1) Find the solution for the following equation: 3x 10 = - 22 a) x = -4 b) x = 4 c) x = 10.6 d) x = ) Solve for x: 7(x - 3) = 21 a) x = -6 b) x = 0 c) x = 5 d) x = 6 3) Solve for x: 3 5 x = 15 a) 9 b) 25 c) 20 d) 15 4) Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $7.99 for shipping, was $ Each shirt cost $ There was no sales tax on this purchase. Which equation could be used to find x? 7EE4 a) 7.99 (x ) = b) x = c) 15.75(x ) = d) x = ) How would the following statement be expressed algebraically? 7EEA2 Twenty more than three times a number is equal to ten a) 3n +20 = 10 b) 3(20+n) = 10 c) 20(3n) = 10 d) 3n + 20n = 10 6) Carmine paid an electrician x dollars per hour for a 8-hour job plus $90 for parts. The total charge was $186. Which equation can be used to determine how much the electrician charged per hour? 7EE4a a) 8x = b) 8x = c) x(8+90) = 186 d) 8x + 90 = 186
2 7) Solve for x: x = 8 a) x = -80 b) x = 3.1 c) x = 80 d) x = ) Simplify: ( 9x y) (5x + 12y) 7EEA1 a) 4x-13y b) 4x + 11y c) 4x -11y d) -4x -13y 9) Find the value of n in the equation below. 7n + 12 = 9 a) 3 b) -3 c) d) ) Craig went bowling with $45 to spend. He rented shoes for $3.75 and paid $6.00 for each game. What was the greatest number of games Craig could have played? a) 4 b) 5 c) 6 d) 7 11) Winston needs at least 120 signatures from students in his school before he can run for class president. He has 35 signatures already. He and four of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president? a) 4x b) 5x c) 5x + 35 < 120 d) 5x ) Solve the following for c: 9m + 13 = -50 a) m = -7 b) m = 7 c) m = 4.1 d) c = ) Solve for x: - 2x > -18 a) x < -9 b) x > 9 c) x < 9 d) x > -9
3 14) What is the correct method for solving the equation x =13 7EEC1 a) First subtract 7 from both sides of the equation and then multiply both sides of the equation by 5. b) First add 7 to both sides of the equation, and then divide both sides of the equation by 5. c) First subtract 5 from both sides of the equation, and then multiply both sides of the equation by 7. d) First add 7 from both sides of the equation, and then multiply both sides of the equation by 3. 15) Yolanda participated in a walkathon in which each kilometer raised $20 for charity. Her goal was to raise more than $200 on Saturday and Sunday. She raised $40 on Saturday. Which graph shows all the distances, in kilometers, that Yolanda could have walked on Sunday to reach her goal? 16) Which inequality represents the statement, You must be at most 5 years old to eat for free. a) a 5 c) a < 5 b) a 5 d) a > 5 17) Bob bought nine red hats and three blue hats for $36. Each hat had the same price. Which equation would be used to find the cost of one hat? a) 9 + 3h = $36 c) 9h + 3 = $36 b) 9h + 3h = $36 d) 9(3n) = $36 18) Which of the following represents 4 < x? a) b) c) d)
4 19) Use the distributive property to simplify: 1 (12a 6) 2 7EEA1 a) 12a - 12 b) 6a - 3 c) 24a - 12 d) 6a ) Mr. Santino needs a total of 320 forks for his restaurant. He currently has 100 forks. If each set has 12 forks, what is minimum number of sets of forks he should buy? a) 18 b) 19 c) 20 d) 21 7EE4B Short Answer/Extended Response Follow the directions printed before each set of questions. Make sure to show all work! 21) Write an simplified expression to represent the perimeter of the trapezoid. (1 points) -3a+ 1 7EE1 3b 3b 4a + 2 Expression Evaluate the expression when a = -2 and b = 4. (2 point) 22) Solve the equation for x. (2 points) 6(x 3) = -30
5 For number 23 & 24, solve and graph each on the number line provided. (3 points) 23) 5x ) -2x 8 > 4 25) Harper has $21.00 to spend at the grocery store. She is going to buy bags of fruit that cost $1.75 each and one box of crackers that costs $4.50. Write inequality that models this situation that could be used to determine the maximum number of bags of fruit, b, Harper can buy and then evaluate. (2 points) 26) Mr. Gonzales has only $32.75 to spend at a clothing store. He wants to buy a shirt that costs $12, including tax, and some bracelets that cost $3.50 each, including tax. Write an equation and then solve to determine x, the maximum number of bracelets Mr. Gonzales could buy. (2 points)
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