INTRODUCTORY AND INTERMEDIATE

Transcription

1 CHAPTER R 1 CHAPTER R NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Calculate: Find the value of: What are the factors of 28? Write as an improper fraction. 4.. Reduce 18 9 to lowest terms.. 6. Find the sum: Add: Calculate: Subtract: Find the product of 7 and Find the quotient: Calculate: Write.06 in words Find the sum:

2 2 CHAPTER R 1. Find the difference: What is the product of.0 and 7.2? Evaluate: Compute: Express 4 as a decimal and as a percent Write 0.0 as a percent and as a fraction A full grown dog weighs 24 pounds. At birth the same dog 21. weighed 1.2 pounds. How many times the weight of the newborn puppy is the full grown dog? 22. According to a chemical analysis, a sample of water was 22. shown to contain 2.26 parts per million of a toxic substance. Round this decimal to the nearest hundredth. 2. Matthew s Honda Civic averages 2. mpg. How far can he 2. drive on 12. gallons of gas? 24. Heather spends $40 per month on rent and $10 per month 24. for her utilities. How many times more is the cost of her rent than the cost of her utilities? 2. According to a recent survey, 48% of the traffic accidents 2. during a given month were attributed to cell phone distraction. Express as a decimal the percent of traffic accidents NOT attributed to cell phone distraction.

3 CHAPTER 1, FORM A CHAPTER 1, FORM A NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Express as a real number: a decrease in salary of $12, Is π a rational number? 2.. Graph the number 2 8 on the number line.. (refer to graph) 4. Find the additive inverse of Compute: True or False: > Add: 7 + ( 9) Combine: ( 2) + ( 4) Simplify: 12 + ( )(8) What is the reciprocal of 2? Divide:

4 4 CHAPTER 1, FORM A 12. Translate to an algebraic expression: The difference of 12. three and twice x. 1. Express in exponential form: ( )( )( )( ) Evaluate b a + c a b if a =, b = 9, and c = Simplify: m + 9m m Combine: 2a + b (a 2b) Samuel s salary last year was x dollars. This year he received 17. a 6% raise. What was his new salary? 18. Bonnie s college expenses in 200 were $4,892. In 2006 her 18. college expenses were $6,12. By how much did her expenses increase?

5 CHAPTER 1, FORM B CHAPTER 1, FORM B NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Express as a real number: an increase of 9 cents Is ⅔ a rational number? 2.. Graph the number 2 4 on the number line.. (refer to graph) 4. Find the additive inverse of Compute: True or False: 2. > Add: + ( 7) Combine: ( 19) + ( ) Simplify: ()( 9) What is the reciprocal of 4? Divide: ( 84)

6 6 CHAPTER 1, FORM B 12. Translate to an algebraic expression: The product of three 12. and the sum of a and b. 1. Express in exponential form: Evaluate b a c a b if a =, b = 9, and c = Simplify: 2a 7a a Combine: x + 2(x 4) Last year Kayla s savings account was worth y dollars. This year 17. her account has grown by %. What is the current value of her account? 18. Debbie s mortgage interest last year was $9,00. Her mortgage 18. interest this year is $8,20. How much less was her mortgage interest this year than last?

7 CHAPTER 1, FORM C 7 CHAPTER 1, FORM C NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Express as a real number: a decrease in price of $ Is ¼ a rational number? 2.. Graph the number 1 on the number line.. (refer to graph) 4. Find the additive inverse of Compute: True or False: > Add: 11 + ( 4) Combine: ( 19) + ( 9) Simplify: (7)( 11) + ( ) What is the reciprocal of 7 2? Divide: 102 ( 6) 11.

8 8 CHAPTER 1, FORM C 12. Translate to an algebraic expression: The product of three 12. and the difference of x and. 1. Express in exponential form: ( 9) 9 9 ( 9) Evaluate b + a c a b if a =, b = 9, and c = Simplify: 10 b + 7 7b Combine: 2n + 4(n + 7) Collin owed x dollars in property tax last year. This year his 17. property tax increased by 2%. How much does he owe this year in property tax? 18. At the beginning of the year Charlie had $69,7 in his retirement 18. account. By the end of June, his account had increased to $74,60. By how much had the account increased?

9 CHAPTER 1, FORM D 9 CHAPTER 1, FORM D NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION Choose the letter of the best answer for each problem. 1. Which of the following real numbers represents a loss of one half million 1. dollars. A. $00,000 B. $0,000 C. $00,000 D. $200, Which of the following is not a rational number? 2. A. 9 B. 2 C. 0 D Which is the graph of the number 2 7 8?. A. B. C. D. 4. What is the additive inverse of 2? 4. A. 2 B. 2 C. 2 D. 2. Compute: 4.. A. 4. B. 4 C. 4. D Which of the following statements is false? 6. A. 2 1 > B. 4 < 4 C. < D. < 1 7. Add: 11 + ( 7) 7. A. 4 B. 18 C. 4 D Find the sum of the following: ( 19) + ( 1) 8. A. 4 B. 4 C. 4 D. 27

10 10 CHAPTER 1, FORM D 9. Simplify: 12 + ( 8)() 9. A. 28 B. 20 C. 20 D What is the reciprocal of? 10. A. 1 B. C. 1 D Divide: ( 207) ( 9 ) 11. A. 2 B. 2 C. 21 D Translate to an algebraic expression: The product of x and y decreased 12. by four. x A. 4 B. 4 xy C. xy 4 D. x + y 4 y 1. Express in exponential form: A. ( 11) B. 11 C. (11) D Evaluate b a + c a + b if a = 4, b = 12, and c = A. 1 2 B. 1 C. 1 2 D Simplify: r 2 r + 9 r 1. A. r + 10 B. 7 2r C. 9r + 11 D. r Combine: p q 2(p q) 16. A. 6p 8q 2 B. p + 7q C. p 8q D. p 1q 17. Mark s college tuition last year was x dollars. His tuition for this year 17. increased by 4%. What is his tuition for this year? A. 0.04x dollars B. 1.04x dollars C. x dollars D. 1.4x dollars 18. In the five years Ryan has owned his home, its value has increased from 18. $142,000 to $19,000. What is the amount of increase? A. $,000 B. $19,000 C. $,000 D. 7%

11 CHAPTER 2, FORM A 11 CHAPTER 2, FORM A NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Determine whether 4 is a solution of the equation 11 x = x Solve and check: a + 1 = Solve and check: n = Solve and check: y = Solve and check: y = Solve and check: x 9 = Solve and check: y = Solve and check: 10y + = 2y Solve and check: (x ) = 6 2x Solve and check: 2(4 m) (m 6) = m Solve p q = r for q in terms of p and r % of what number is 6? What percent of 6 is 0? Draw the graph of: x < (refer to graph)

12 12 CHAPTER 2, FORM A 1. Solve 7x 2 >, then graph. 1. (refer to graph) 16. A caterer charges a $00 flat fee plus $7.0 for each meal served 16. at a wedding reception. The total cost of the reception was $1200. How many meals were served? The formula to compute Fahrenheit temperature is F = C + 2, 17. where C is Celsius temperature. Solve for C in terms of F. 18. At a state university in Tennessee, approximately 6%, or, of the student enrolled in 2006 were female. What was the total enrollment in 2006, rounded to the nearest hundred? (Source: Two friends live 9 miles apart. They walked from their homes 19. meeting 1½ hours later. One walked 2 miles per hour faster than the other. What were their two rates? 20. A weight loss program offers two membership options. Option A 20. is to pay a flat yearly rate of $ Option B is to pay a fee of $.00 for each weekly meeting attended. How many weeks would you have to attend before the total weekly rate exceeds the flat yearly rate?

13 CHAPTER 2, FORM B 1 CHAPTER 2, FORM B NAME INTRODUCTORY AND INTERMEDIATE ALGEBRA THROUGH APPLICATIONS SECTION 1. Determine if is a solution of the equation 1 + 2x = x Solve and check: y 1 = 2.. Solve and check: y = Solve and check: x = Solve and check: 4y = Solve and check: 6 4x = Solve and check: 21 p = Solve and check: 8 x = x Solve and check: 2(x 1) = x Solve and check: 2 (p + ) = (1 p) Solve a = 2b c for c in terms of a and b % of what number is 1? What percent of 20 is? Draw the graph of: 2 < x 14. (refer to graph)

14 14 CHAPTER 2, FORM B 1. Solve 4x , then graph 1. (refer to graph) 16. A moving company charges a flat fee of $200 plus $.00 per 16. mile. The total charge to move a load of furniture was $800. How many miles was the furniture moved? The formula for the area of a trapezoid is A= h B + b 2 ( ) 17. Solve the formula for B in terms of A, h, and b. 18. In Tennessee, there were 284,900 adults ages 2 to 44 without 18. high school diplomas or GED credentials in the year This represented 17% of that age group. What was the total number of people in that age group in Tennessee in 2000, rounded to the nearest hundred? (Source: SREB Fact Book on Higher Education 200) 19. Nancy and Mary live 20 miles apart. They drive from their homes 19. to meet in a city between their hometowns, meeting 2½ hours later. One sister drove 10 mph faster than the other. What were the rates of speed of the two women? 20. A rental car agency offers two rental plans. With Plan 1 the 20. customer pays $20 a day plus $0.10 a mile. With Plan 2 the customer pays $40 a day plus $0.0 a mile. How many miles must be driven to make the daily cost of Plan 2 the better deal?