Free Printable Cumulative Test IV (Chapters 1-6)

1.

$\frac{7}{18}\div\frac{14}{36}$

4 lines

2.

$11\frac{3}{8}+\left(-4\frac{2}{8}\right)$

Your answer should be in simplest form, not an improper fraction.

4 lines

3.

$\frac{9}{12}-\frac{1}{12}$
Write your answer in simplest form.

4 lines

4.

$21+\frac{1}{6}$
Write in simplest form.

4 lines

5.

$-\frac{7}{13}-\frac{2}{13}$
Write in simplest form.

4 lines

6.

$\left|34\right|$

a)

34

b)

-34

c)

43

d)

-43

7.

$\left|-15\ -6\right|$

a)

-9

b)

21

c)

-21

d)

9

8.

$\left|-3\ \right|\ -\ \left|-14\right|$

a)

-17

b)

11

c)

-11

d)

17

9.

Evaluate each expression if a = -2, b = -3, and c = 4.

-a $+$ c $-$ b

a)

9

b)

-9

c)

1

d)

-1

10.

$\left(6\right)\left(-2\right)\ -\ \left(-7\right)\left(-2\right)$

a)

10

b)

-10

c)

26

d)

-26

11.

$-3\ +\ \left(-5\right)$

a)

8

b)

2

c)

-8

d)

-2

12.

$9\ -\ \left(-17\right)$

a)

26

b)

-26

c)

8

d)

-8

13.

During a 3 hour period 2,525 people rode a roller coaster. Which proportion can be used to find how many people that can be expected to ride during a 12 hour period?

a)

$\frac{3}{2525}=\frac{x}{12}$

b)

$\frac{3}{2525}=\frac{12}{x}$

c)

$\frac{3}{x}=\frac{12}{2525}$

d)

$\frac{x}{3}=\frac{12}{2525}$

14.

What is the slope of a line that passes through points (2,10) and (6, 22)?

a)

40

b)

3

c)

4

d)

12

15.

Does this situation represent direct variation?

$5 in 2 hours, $15 in 6 hours, $35 in 14 hours and $60 in 24 hours

a)

Yes

b)

No

c)

The slope is 2.5

d)

$2.50/hr

16.

In the equation y=36x, what is the constant of variation?

a)

y

b)

36

c)

x

d)

There is none

17.

What is the value of y?

\frac{12}{21}\ =\ \frac{36}{y}

a)

63

b)

times 3

c)

12y = 756

d)

48

18.

\ \ \frac{2}{3}

---

\frac{3}{10}

In simplest form.

a)

$\frac{20}{9}$

b)

2 $\frac{2}{9}$

c)

$\frac{6}{30}$

d)

$\frac{1}{5}$

19.

The speed limit on a highway is 75 miles per hour. About how fast is this in feet per hour? 1 mile = 5280 feet

a)

396,000 feet/hour

b)

70.4 feet/hour

c)

.0142 feet/hour

d)

1.25 miles/min

20.

If you can drive 345 miles on 15 gallons, how far can you drive with 21 gallons?

a)

360 miles

b)

315 miles

c)

401 miles

d)

483 miles

21.

120 is 60% of what number?

a)

72

b)

2

c)

200

d)

20

22.

What percent of 55 is 32?

a)

18%

b)

58%

c)

172%

d)

19%

23.

What\ is\frac{1}{2}\%\ of\ 198?

a)

396

b)

9.9

c)

99

d)

.99

24.

If The cost of the car was $39,799 and the sales person needed to make the sale. If the sales person placed a giant 15% off sticker on the car's window, what is the new price?

a)

$5,569.85

b)

$33,829.15

c)

$33,057.65

d)

$39,798.85

25.

The temperature dropped from 75 degrees to 55 degrees. What was the percent decrease?

a)

27%

b)

20%

c)

36%

d)

.2%

26.

The bill at a restaurant was $45.75. If Will Youpassmethesalt wants to leave 15%, how much of a tip will he leave? Choose both the mathematical answer and the real life answer (choose two answers).

a)

$52.61

b)

$6.85

c)

$15

d)

$7

e)

$6.25

27.

If you earn $6,000 after investing $25,000 while earning 4%, how long have you invested?

a)

6 months

b)

6 years

c)

.06 years

d)

5 years

28.

Find (7x - 7) + (x + 9)

a)

6x + 2

b)

8x + 16

c)

7x² + 16

d)

8x + 2

29.

Find the difference.

(r - 6) - (5 + 5r)

a)

6r - 11

b)

-4r - 1

c)

-4r + (-11)

d)

6r - 1

30.

(2x + 4) – (8x + 9)

a)

-2x + 13

b)

10x - 5

c)

-6x - 5

d)

6x - 17x

31.

5 + 4g - 6m + 2g - 7

Identify the terms.

a)

5 & -7

b)

4g & 2g

c)

4g, -6m & 2g

d)

5, 4g, -6m, 2g & -7

32.

5 + 4g - 6m + 2g - 7

Identify the coefficients.

a)

5 & -7

b)

4, -6 & 2

c)

4g, -6m & 2g

d)

5, 4, -6, 2 & -7

33.

5 + 4g - 6m + 2g - 7

Identify the constants.

a)

5 & -7

b)

5, 4, -6, 2 & -7

c)

4g, -6m & 2m

d)

-6 & 2

34.

5 + 4g - 6m + 2g - 7

Identify the like terms.

a)

5 & -7

b)

4g & 2g and 5 & -7

c)

4g, -6m & 2m

d)

4g & 2g

35.

Find the GCF of each pair of monomials.

27jn, 18n

a)

18n

b)

9n

c)

9jn

d)

27

36.

Factor the expression.

24x - 16y

a)

8(24x - 16y)

b)

4(6x - 4y)

c)

8(3x - 2y)

d)

Cannot be factored

37.

a = 8

b = -6

c = 10

2a - b

a)

10

b)

22

c)

6

d)

16

38.

Using the distributive property, how should 5(8 + 7) be solved?

a)

75

b)

5(8) + 7

c)

40 + 35

d)

5(8) + 5(7)

39.

Name the property:

45 + 0 = 45

a)

Identity Property

b)

Associative Property

c)

Cumulative Property

d)

Distributive Property

40.

Name the property:

15 + (65 + 14) = (15 + 65) + 14

a)

Identity Property

b)

Associative Property

c)

Cumulative Property

d)

Distributive Property

41.

Name the next three terms in the pattern:

23, 27, 31, 35

a)

39, 42, 46

b)

39, 43, 48

c)

38, 42, 46

d)

40, 44, 48

42.

Find (2x - 3) + (x + 9)

a)

2x - 6

b)

2x + 12

c)

3x² + 6

d)

3x + 6

43.

3c + 5 = 17

a)

c = 12

b)

c = 4

c)

c = 22

d)

c = 7.33

44.

\frac{x}{12}

- 1 = 1

a)

-12

b)

24

c)

12

d)

14

45.

Solve for k:

3k - 5 = 16

a)

k = 21

b)

k = -6

c)

k = 1/3

d)

k = 7

46.

\frac{3}{4}\left(x\ +\ 6\right)\ =\ 12

a)

10

b)

6

c)

16

d)

3

47.

4\ +\frac{k}{2}\ =\ -3

a)

14

b)

-14

c)

4

d)

-2

48.

Solve the inequality.

x + 8 ≤ 13

a)

x ≥ 5

b)

x ≥ 21

c)

x ≤ 5

d)

x ≤ 21

49.

25 < X - 14

a)

X > 39

b)

X < 39

c)

X > 11

d)

X < -11

50.

-4x < 48

a)

x < -12

b)

x > -12

c)

x < 8

d)

x > -192

51.

Solve the inequality.

\frac{k}{2}\ \ge\ 23

a)

k ≥46

b)

k ≥ 21

c)

k ≥ 25

d)

k ≥ 11.5

52.

-4x + 12 ≤ 52

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 40

d)

x ≤ -40

53.

Describe the graph.

2x + 12 ≤ 73

a)

Open dot, arrow the the right

b)

Open dot, arrow the the left

c)

Closed dot, arrow the the right

d)

Closed dot, arrow the the left

54.

Describe the graph.

10 < 4x + 15

a)

Open dot, arrow to the left

b)

Open dot, arrow to the right

c)

Closed dot, arrow to the left

d)

Closed dot, arrow to the right

55.

Describe the graph.

-11x + 8 > 118

a)

Closed dot, arrow to the right

b)

Closed dot, arrow to the left

c)

Open dot, arrow to the right

d)

Open dot, arrow to the left

56.

Why does Mr. Margrave want you to have the variable on the left?

a)

Because it's supposed to be on the left

b)

It's tradition

c)

Then the inequality symbol is the arrow

d)

Hmmm, that's a good question.

57.

Why do you need to check to see if the coefficient is positive?

a)

Because positives are easier to work with

b)

If the coefficient is negative you have to flip the inequality

c)

If the coefficient in positive you have to flip the inequality

d)

I'm not sure, but he does say that way too much

58.

The length of each side of a regular pentagon is increased by 5, so that the perimeter is now 75 feet. How long were the sides before they were lengthened?

a)

45 feet

b)

10 feet

c)

15 feet

d)

20 feet

59.

Halfway through the bowling season, Will had 32 strikes. He averages 2.5 strikes per game. Which inequality would be used to find the number of games that it will take for Will to have at least 68 strikes?

a)

$-32\ +\ 2.5g\ \le\ 6$

b)

$32\ +\ 2.5\ \ge\ 68$

c)

$32\ +\ 2.5g\ \ge\ 68$

d)

$32\ +\ 2.5g\ \le\ 68$

60.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

Cumulative Test IV (Chapters 1-6)

Total questions: 60

Worksheet time: 5hrs 0mins

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