Name ________________________________________ Date __________________ Class __________________

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

19

Algebraic Models Module Quiz: B

1. Solve − + =1.5 6 15x for x.

________________________________________

2. How many coefficients are in the

expression −− + −2 21 18 9 2 ?3y y y

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3. Is each of the following a term of the expression 39 12 6?x p− + +

A p Yes No B −9 x3 Yes No C 3 Yes No D 6 Yes No

4. Kurt works at a cafe and earns $16 per hour. On Wednesday, he worked t hours at the cafe, and his neighbor paid him $5 per hour to babysit for b hours. Which expression best represents the amount Kurt earned on Wednesday? A +16 5t C +16 5t b B −16 5t b D +16 5b t

5. Is each of the following equivalent to ( )6 2 4 ?y p− +

A + −12 24p y Yes No

B + −6 24y p Yes No

C ( )− −6 4 2p y Yes No

D + +24 12y p Yes No

6. Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts. He spent a total of $139.50. How much did the blazer cost?

________________________________________

7. Solve ( )− = −3 4 5x for x.

________________________________________

8. The equation for finding the area of a

trapezoid is ( )= +1 21 .2

A b b h What is the

equation solved for h?

A =+1 2

Ahb b

B =+1 2

2Ahb b

C ( )= +1 212

h b b

D = − −1 22h A b b

9. Marcus is buying 10 gift bags for his birthday party. He will choose items to put in the bags and then pay an additional charge of $0.75 for the actual bag. Marcus cannot spend more than $50. Write and solve an inequality to find the most Marcus can spend on the items for each bag.

________________________________________

10. Choose True or False for each statement

about the solutions of + >1 16 7 .

4 4 2x

A The solutions are all less than 5. True False B The solutions are all greater than 5. True False C The solution set includes −6. True False D The solution set includes 12. True False

MODULE

2

3 12 511 2322.5

13 18 22 I

2A b tbz h000 O 52

qo OO DI

Oxe

AKy zutp 1001 0.75 I 50

z

4541,14P 241124 Xt6772

I xt67f4

I X

6.5 3.5 139.5 a

s4465

Name ________________________________________ Date __________________ Class __________________

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

20

Algebraic Models Module Quiz: B

11. Stanley ran a 5 kilometer race in 30 minutes. What was his speed in kilometers per hour? Round to the nearest tenth.

________________________________________

12. Write the coefficient(s) in the expression − +27 9.x y

________________________________________

13. Suppose x and y are the number of students in two classrooms, where .x y Compare the expressions using , =, or >.

( ) ( )2 22 x x y+

14. On Monday, Nita earned $85 for h hours of babysitting. On Wednesday, she earned the same rate for 8 hours of babysitting and got a $12 tip. Write an expression to represent how much Nita earned on Wednesday.

________________________________________

15. A cell phone company charges $45 per month for unlimited calls and $0.25 per text message. Another cell phone company charges $0.15 per text message and $70 per month for unlimited calls.

a. Write an equation to represent the number of text messages sent in a month that would make each plan cost the same amount.

____________________________________

b. Solve the equation and interpret the solution.

____________________________________

16. Lia gets paid $450 a week plus a 5% commission on her sales. She hopes to earn at least $600 dollars each week.

a. Write an inequality to represent the verbal description.

____________________________________

b. How much does Lia need in sales to make her goal?

____________________________________

17. Solve the inequality − − +8 3 4.d d

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18. Solve the inequality ( )− −2 3 4 9 10.x x

________________________________________

19. Juan is making birdhouses to sell at a craft show. The cost of making the birdhouses is $80 plus $6.25 per birdhouse. He will sell them for $16 each. Write and solve an inequality to find the number of birdhouses he must sell to make a profit.

________________________________________

20. The formula for finding the area of a circle is = 2.A r Solve the formula for r.

________________________________________

21. Write the solution of the compound inequality graphed below.

________________________________________

MODULE

2 PerweekLT O

go n450 0.05 7 600

7 2 6114 9Fandel

3000

da e

D XE's812k eeiu.qO

80 6.25 2 1611

ex riff45 025.11 701 0.15 X

250 EZ

4 X and XEZ yes

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234

Answer Key Module Quizzes

MODULE 1 Quantitative Reasoning Module Quiz 1 B 1. 16x = − 2. C 3. C 4. −4.75 5. 2.54 6. 22.5 m 7. 0.72 gal 8. C 9. C 10. A No B Yes C No D No 11. x = 15 12. p = −1.5 13. 62 14. 18 meters 15.

16. 8 years old 17. a. 41.25; b. 4 18. a. 40; b. 1 19. 68 in.

Module Quiz 1 Modified 1. A 2. B 3. C 4. A 5. B

6. C 7. C 8. B 9. B 10. C 11. 5x =

12. a. 65

b. 30

z

z

=

=

13. $30.83 14. 20 in. 15.

16. 3 years old 17. a. 37.25; b. 4 18. a. 43; b. 2 19. 17.9 in.

MODULE 2 Algebraic Models Module Quiz 2 B 1. 6x = − 2. 3 3. A No B Yes C No D Yes 4. C 5. A Yes B No C Yes D No 6. $46.50

7. 123

x =

8. B

9. ( )10 0.75 50;x + $4.25

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235

10. A False B True C False D True

11. km10 h

12. 7, −1

13. ( ) ( )2 22x x y+

14. 858 12h

+

15. a. $45 $0.25 $0.15 $70t t+ = + b. t = 250; The companies will charge

the same amount for 250 text messages in a month.

16. a. 0.05 450 600s + b. $3,000 17. d −2;

18. 23

x

19. 80 6.25 16 ;x x+ 9 birdhouses

20. Ar =

21. −4 x 2

Module Quiz 2 Modified 1. B 2. B 3. C 4. C 5. C 6. B 7. A 8. C 9. A 10. C 11. 6.2 mi 12. 23t and 5t 13. 3 4 2x y y> − 14. 15 8c + 15. a. 2 135x x+ = b. $45 16. a. 45 150 690h + b. 12 hours 17. 2p > −

18. 115 90 x+

19. 1530

pb −=

20. 5t u= 21. 1 8x

MODULE 3 Functions and Models Module Quiz 3 B

1. 5.2x = or 155

x =

2. A Yes B Yes C Yes

3. 3, 6, 8

4. Independent variable Number of hours hiking; Dependent variable Number of calories burned

5. A Yes B No C Yes

6. ( ) 5 ;f x x= $80

7. ( )0 1f = −

8. 7m =

9.

10. No; it does not pass the vertical line test.

Each x-value is matched to more than one y-value.

11. a. ( ) 1.5f x x=

b. Possible answer 1, 2, 3, 4, 5, 6

c. Possible answer 1.5, 3, 4.5, 6, 7.5, 9