Course 3 • Chapter 2 Equations in One Variable 41

NAME _____________________________________________ DATE __________________ PERIOD _________

SCORE _________Co

pyri

ght

© T

he M

cGra

w-H

ill C

ompa

nies

, Inc

. Per

mis

sion

is g

rant

ed t

o re

prod

uce

for

clas

sroo

m u

se.

Test, Form 2AWrite the letter for the correct answer in the blank at the right of each question.

Translate each sentence into an equation.

1. 12 birds are 3 more than twice the number of birds Rhonda saw yesterday.

A. 12 = 3b + 2 C. 12 = 2b + 3

B. 12 = 3 - 2b D. 12 = b −

3 + 2

2. The difference between two-thirds of a number and 4 is -92.

F. 2 −

3 n - 4 = -92 H. 4n - 2 −

3 = -92

G. 2 −

3 - 4n = -92 I. -

2 −

3 n + 4 = -92

3. Negative 6 times the sum of a number and 4 is 2.

A. -6n + 4 = 2 C. -6 + 4n = 2 B. -6(n + 4) = 2 D. -6n - 4 = 2

Solve each equation.

4. -2.17 = 0.35r

F. 6.2 H. -7.6

G. all real numbers I. -6.2

5. 2 2 −

5 w = 21 3 −

5

A. -9 B. 5 C. null set D. 9

6. -25 = 1 −

3 n - 10

F. null set G. 45 H. -15 I. -45

7. 4 - 5y = -16

A. -5 C. 5 B. 4 D. all real numbers

8. -17 = -7c + 4

F. 7 −−

13 H. 3

G. 13 −−

7 I. all real numbers

9. x + 5 −−−−

4 = -4

A. null set B. 21 C. -21 D. -36

1.

2.

3.

4.

5.

6.

7.

8.

9.

C

F

B

I

D

I

B

H

C

037_048_CC_A_AMC3_C02_662329.indd Page 41 3/5/12 9:54 PM s-019037_048_CC_A_AMC3_C02_662329.indd Page 41 3/5/12 9:54 PM s-019 /Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY.../Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..

P rinter P DF

Course 3 • Chapter 2 Equations in One Variable42

NAME _____________________________________________ DATE __________________ PERIOD _________

SCORE _________Copyright ©

The McG

raw-H

ill Companies, Inc. Perm

ission is granted to reproduce for classroom use.

10. Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?

F. 9 weeks G. 8 weeks H. 7 weeks I. 6 weeks

11. To catch an 8:30 A.M. bus, Kendra needs 45 minutes to shower and dress, 20 minutes for breakfast, and 10 minutes to walk to the bus stop. To catch the bus, what is the latest time she should wake up?

A. 6:45 A.M. B. 7:05 A.M. C. 7:15 A.M. D. 7:25 A.M.

Solve each equation.

12. -5x = -40 + 3x

F. 20 H. -5

G. 5 I. all real numbers

13. 3 −

4 (x - 16) = -2(x - 3) + 4

A. null set B. 8 C. 4 D. -4

14. -7b - 3 = -3b + 5

F. -2 G. 2 H. -5 I. null set

15. -2(y - 4) = 20 - 2y - 12

A. 4 C. -4

B. all real numbers D. -12

16. 2(v - 4) - 10 = -2(-1 + 4v)

17. Mabel scored 19 points more on her pre-algebra test than Nancy. Phoebe scored 10 points less on her pre-algebra test than Nancy. If Phoebe scored 23 points, how many points did Mabel score?

18. The figures below show sketches of Earl’s and Dylan’s flower gardens. If the perimeter of each of their gardens is the same, what is the length and width of Earl’s garden?

Test, Form 2A (continued)

(x + 2) ft

(x + 6) ft

Earl’sFlowerGarden

(x + 4) ft

(2x - 2) ft

Dylan’sFlowerGarden

10.

11.

12.

13.

14.

15.

16.

17.

18.

I

C

G

B

F

B

2

52 points

12 ft; 8 ft

037_048_CC_A_AMC3_C02_662329.indd Page 42 3/5/12 9:54 PM s-019037_048_CC_A_AMC3_C02_662329.indd Page 42 3/5/12 9:54 PM s-019 /Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY.../Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..

P rinter P DF

Course 3 • Chapter 2 Equations in One Variable 45

NAME _____________________________________________ DATE __________________ PERIOD _________

SCORE _________Co

pyri

ght

© T

he M

cGra

w-H

ill C

ompa

nies

, Inc

. Per

mis

sion

is g

rant

ed t

o re

prod

uce

for

clas

sroo

m u

se.

1. Susan is 5 years older than her sister. The sum of their ages is 51. Define a variable. Then write an equation that could be used to find their ages.

2. Two beakers plus their contents have a mass of 180.4 grams. The total mass of the contents is 56.8 grams. Write and solve an equation to find the mass of one beaker.

3. At a concert, you purchase 3 T-shirts and a concert program for a total cost of $90. The program cost $15 and the T-shirts all cost the same. Write and solve an equation to find the cost of one T-shirt.

Solve each equation.

4. -1.4 d = 0.7

5. 1 2 −

3 m + 2 = 2 1 −

6

6. -14.2 = -4.2 g + 6.8

7. -w = -10 + 4w

8. 3 −

4 n = -1 3 −

4 n - 18

9. -3.6b - 7.2 = -12.7 - 6.1b

10. An online movie streaming plan charges an annual fee of $45 plus $2.50 per movie watched. Another plan has no annual fee but charges $3.75 per movie watched. For how many movies is the cost of the plans the same?

Test, Form 3A

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

s = Susan’s

age;

2s - 5 = 51

2b + 56.8 =

180.4; 61.8g

3t + 15 = 90;

$25

-0.5

1 −−

10

5

2

-7 1 −

5

-2.2

36 movies

037_048_CC_A_AMC3_C02_662329.indd Page 45 3/5/12 9:54 PM s-019037_048_CC_A_AMC3_C02_662329.indd Page 45 3/5/12 9:54 PM s-019 /Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY.../Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..

P rinter P DF

Course 3 • Chapter 2 Equations in One Variable46

NAME _____________________________________________ DATE __________________ PERIOD _________

SCORE _________Copyright ©

The McG

raw-H

ill Companies, Inc. Perm

ission is granted to reproduce for classroom use.

11. Find the value of x so that the polygons have the same perimeter

x + 4

x + 4

x + 5x + 3x - 2

Solve each equation.

12. -50 = -2(a + 3)

13. 4(x - 2) = 2(x - 4) + 2x

14. 5(y - 2) - 2 = 2(y + 1) - 5

15. -4(p + 1) = -2(8 - 2p)

16. The table shows the number of points scored by three players in last night’s basketball game. If Gil and Darby scored the same number of points, how many points did Josiah score?

17. The table shows the number of tulip bulbs Chloe and Grady planted. If they each planted the same number of bulbs, how many did each plant?

18. Tony and some friends went to the movies. They bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. Each drink costs $3.50 less than a tub of popcorn.

a. Define a variable. Write an equation that can be used to find the cost of one tub of popcorn.

b. Solve the equation to find the cost of a tub of popcorn.

Test, Form 3A (continued)

Name Number of Bulbs Planted

Chloe 3(t + 1)

Grady 3(2t - 3)

Player Points

Josiah x

Darby 2x + 8

Gil 3x - 4

11.

12.

13.

14.

15.

16.

17.

18a.

18b.

8

22

all real numbers

3

null set

12 points

15 bulbs

$7.75

p = cost of

popcorn

2p + 4(p -

3.50) = 32.50

037_048_CC_A_AMC3_C02_662329.indd Page 46 3/5/12 9:54 PM s-019037_048_CC_A_AMC3_C02_662329.indd Page 46 3/5/12 9:54 PM s-019 /Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY.../Volumes/102/GO00864_AM_R1/MIDDLE_SCHOOL_MATH/NATIONAL/ANCILLARY..

P rinter P DF