Free Printable Eureka Math 8 Module 4: Cumulative Topic A and B

1.

Translate the sentence into an equation.
Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

2.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

4 + 6x = 18

b)

4x + 6 = 18

c)

6x + 4 = 18

d)

not enough info

3.

Eight less than three times a number is equivalent to thirty four.

a)

3x - 8 = 34

b)

8x - 3 = 34

c)

8 - 3x = 34

d)

8 - x = 34

4.

Fifteen less than half a number is equivalent to eleven.

a)

(1/2)x + 15 = 11

b)

2x - 15 = 11

c)

15 - (1/2)x = 11

d)

(1/2)x - 15 = 11

5.

a)

3

b)

-4

c)

-11

d)

-18

6.

a)

0

b)

-8

c)

3

d)

-6

7.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

8.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

9.

4(m − 1) = 8(m + 1) + 12

a)

−6

b)

−4

c)

12

d)

1

10.

11(b + 2) = 11(−10 + 3b)

a)

23

b)

6

c)

−12

d)

−14

11.

-49 - x = -8x + 70

a)

15

b)

17

c)

14

d)

19

12.

-2x - 69 = -9x + 29

a)

12

b)

11

c)

14

d)

10

13.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

14.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

15.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

16.

A holiday meal costs $12.50 a person plus a delivery fee of $30.

a)

Linear

b)

Non-Linear

17.

The amount of minions under Gru's care triples every day.

a)

linear

b)

nonlinear

18.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

19.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

20.

Linear of Non-linear?

a)

Linear

b)

Nonlinear

21.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

22.

Solve for x

a)

1/2

b)

25/8

c)

11

d)

53/4

23.

Solve the equation for x:

a)

x = -1/4

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

24.

$\frac{7-2x}{6}=\frac{x-5}{1}$ solve for x.

a)

$\frac{37}{8}$

b)

$\frac{8}{37}$

c)

37

d)

8

25.

$\frac{3-x}{1-x}=\frac{3}{2}\ \$ solve for x.

a)

3

b)

-3

c)

$\frac{1}{3}$

d)

$-\frac{1}{3}$

26.

Which equations are true?

Choose all that apply.

a)

5 + 10 = 15

b)

4 ÷ 5 = 5 ÷ 4

c)

6 + 2 + 1 = 1 + 2 + 6

d)

1 × 0 = 1

e)

5(3 - 1) = 15 - 1

27.

Determine whether -5 is a solution to the equation:

9 + 2x = x + 4

a)

Yes

b)

No

c)

not enough information

28.

Select the values that are solutions to the equation

x + x + x = 3x

a)

2

b)

-4

c)

0

d)

50

29.

Is n=10 a solution of the equation?

n + 5 = 2n

a)

Yes

b)

No

c)

not enough information

30.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

31.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

32.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

33.

6(m+3)=5(m-2)

a)

No Solution

b)

One Solution

c)

Infinite Solutions

34.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

35.

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

If you have 24 questions worth 4 points apiece, how many questions will be worth 2 points apiece?

a)

24

b)

2

c)

5

d)

0

36.

The sum of three consecutive integers is 48. What is the smallest number in the group?

a)

16

b)

15

c)

17

d)

24

37.

The sum of three consecutive even integers is 618. What is the largest number in the group?

a)

207

b)

209

c)

206

d)

208

38.

Darla drives at a constant speed of 45 miles per hour. If she drives for y miles and it takes her x hours, choose the equations that represents the number of miles she can drive in x hours.

a)

y = 45x

b)

y = (1/45)x

c)

x = 45y

d)

x = (1/45)y

39.

Erika drives at a constant speed of from school to soccer practice 2 miles away. It takes her 7 minutes. What fraction represents her speed?

a)

7/2

b)

2/7

c)

14

d)

1/14

40.

Henry walks from his house to a friend's in 12 minutes. Their houses are 1 mile apart. Set up a proportion that would represent how long in y minutes it would take Henry to walk 1.7 miles if he kept up the same speed.

a)

$\frac{1}{12}=\frac{1.7}{y}$

b)

$\frac{12}{1}=\frac{1.7}{y}$

c)

$\frac{2.7}{12+y}$

d)

$\frac{1}{12}=\frac{.7}{y}$

41.

Jim bikes at a constant speed of 5 miles per half hour. If he bikes for y miles and it takes her x hours, choose the equation that represents the number of miles he can bike in x hours.

a)

y = (5/2)x

b)

y = 5x

c)

y=10x

d)

x=10y

42.

Which graph represents 2x - 5y = -10 ?

a)

b)

c)

d)

43.

Which graph represents y = 1/2x + 2 ?

a)

b)

c)

d)

44.

Which table of values can be defined by y=2x+1?

a)

a

b)

b

c)

c

d)

d

45.

Level 3 Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

46.

Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?

a)

The 12 pack of Coke

b)

The 6 pack of Coke

c)

Neither

d)

They are the same

47.

Game Stop sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

15

b)

12

c)

20

d)

14

48.

2 apples cost $20. What will 5 Apples cost?

a)

28

b)

45

c)

50

d)

39

49.

6 stuffed peppers cost $36. What will 12 stuffed peppers cost?

a)

72

b)

27

c)

65

d)

91

50.

Which of the following would be graphed as a horizontal line?

a)

y = -4

b)

x = 7

c)

y = 3x-4

d)

None of the above

51.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

52.

If a line goes through the points (4, 5) and (4, 7), what type of line is it?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

53.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

54.

Which of the below descriptions match: 0x+3y=15

a)

A vertical line at x = 5

b)

A horizontal line at x = 5

c)

A vertical line at y = 5

d)

A horizontal line at y = 5

55.

Which of the below descriptions match: 2x + 0y = -24

a)

A vertical line at x = -24

b)

A vertical line at x = 12

c)

A vertical line at x = -12

d)

A horizontal line at y = -12

Eureka Math 8 Module 4: Cumulative Topic A and B

Total questions: 55

Worksheet time: 3hrs 31mins

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