000 oteachers.dadeschools.net/khankollari/geo misc/ alg... · module quiz: b 1. solve −+=1.5 6...
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Name ________________________________________ Date __________________ Class __________________
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19
Algebraic Models Module Quiz: B
1. Solve − + =1.5 6 15x for x.
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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?
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7. Solve ( )− = −3 4 5x for x.
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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.
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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.
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12. Write the coefficient(s) in the expression − +27 9.x y
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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.
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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.
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b. Solve the equation and interpret the solution.
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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.
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b. How much does Lia need in sales to make her goal?
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17. Solve the inequality − − +8 3 4.d d
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18. Solve the inequality ( )− −2 3 4 9 10.x x
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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.
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20. The formula for finding the area of a circle is = 2.A r Solve the formula for r.
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21. Write the solution of the compound inequality graphed below.
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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