Free Printable IM Acc. 6th Units 1-4 Review

1.

x + 8 = 15

a)

x = 23

b)

x = 7

c)

x = 120

d)

x = 15/8

2.

13 + y = 20

a)

y = 13

b)

y = 33

c)

y = 7

d)

y = 20/13

3.

n - 4 = 12

a)

n = 16

b)

n = 8

c)

n = 4/12

d)

n = 12/4

4.

x - 10 = 20

a)

x = 20/10

b)

x = 20

c)

x = 10

d)

x = 30

5.

8 - n = 12

a)

x = 4

b)

x = 20

c)

x = - 4

d)

x = -20

6.

5 n = 30

a)

n = 150

b)

n = 25

c)

n = 5

d)

n = 6

7.

6 y = 42

a)

y = 7

b)

y = 6

c)

y = 36

d)

y = 48

8.

1/2 n = 10

a)

n = 10

b)

n = 5

c)

n = 20

d)

n = 12

9.

y/3 = 8

a)

y = 3/8

b)

y = 8/3

c)

y = 24

d)

y = 83

10.

2/3 n = 8

a)

n = 238

b)

n = 12

c)

n = 24/2

d)

n = 7 1/3

11.

Match the following equations to their solutions.

a)

$6=x+3$

1.

x = 3

b)

$2x=4$

2.

x = 2

c)

$\frac{x}{5}=3$

3.

x = 15

d)

$x-7=1$

4.

x = 8

e)

$6x=54$

5.

x = 9

12.

Solve for the unknown variable:

$m+9=2$

(a)

13.

$-3x=-9$

a)

x=-3

b)

x=-6

c)

x=12

d)

x=3

14.

What is the inverse of subtraction?

a)

Division

b)

Multiplication

c)

Addition

15.

What is the inverse of division?

a)

Addition

b)

Multiplication

c)

Subtraction

16.

What is the inverse of multiplication?

a)

Addition

b)

Subtraction

c)

Division

17.

What is the inverse of addition?

a)

multiplication

b)

division

c)

subtraction

d)

addition

18.

r + 12 = 25

a)

37

b)

13

c)

300

d)

Answer not Given

19.

2(4x - 7)

a)

8x + -14

b)

8x-7

c)

6x+7

d)

8x+14

20.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

21.

4(p - 6)

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p + -24

22.

Simplify 5(2 - 7n)

a)

52 - 7n

b)

10 - 7n

c)

10 + -35n

d)

10 + 35n

23.

4(5+3g)

a)

9+8g

b)

20g+12

c)

20+12g

24.

Simplify:
7(y - 3)

a)

7y - 21

b)

7y - 3

c)

7y + 3

d)

7y + 21

25.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

26.

4(8n+2)

a)

4n+2

b)

12n+6

c)

32n+8

27.

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

2 times a number

(a)

28.

What is a variable in Algebra?

a)

The answer to an equation

b)

An unknown value

c)

An equation

d)

A numeric expression

29.

Translate this phrase into an algebraic expression.

80 more than a number

Use the variable B to represent the unknown number.

a)

80B

b)

B-80

c)

B+80

d)

B÷80

30.

Translate this phrase into an algebraic expression.

The quotient of twenty and a number

Use the variable n to represent the unknown number.

a)

20/n

b)

20-n

c)

n+20

d)

n-20

31.

Correctly order the Order of Operations

a)

Paraenthesis

b)

Exponents

c)

Multiply/Divide

d)

Add/Subtract

1)

2)

3)

4)

32.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

33.

Factor:
12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

34.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

35.

Factor Completely:
16w + 80m

a)

2(8w + 10m)

b)

16(w + 5m)

c)

4(4w + 20m)

36.

Factor Completely:
35c - 15d

a)

5(7c + 3d)

b)

5(7d - 3c)

c)

5(7c - 3d)

37.

$\frac{1}{2}\div\frac{2}{3}$

a)

$\frac{1}{2}\times\frac{2}{3}$

b)

$\frac{2}{1}\times\frac{2}{3}$

c)

$\frac{1}{2}\times\frac{3}{2}$

d)

$\frac{2}{1}\times\frac{3}{2}$

38.

$\frac{1}{2}\div\frac{1}{2}$

(a)

39.

$\frac{5}{6}\div\frac{2}{3}$

(a)

40.

$\frac{10}{12}\div\frac{1}{2}$

(a)

41.

$\frac{4}{4}\div\frac{1}{4}$

(a)

42.

a)

$\frac{6}{40}$

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{12}{20}$

43.

What is the rule for Dividing Fractions?

a)

"Keep, Keep, Flip"

b)

"Keep, Change, Flip"

c)

"Keep, Change, Keep

d)

I don't know!

44.

What is another word for "Flip"?

a)

Same

b)

Fraction

c)

Equal

d)

Reciprocal

45.

Solve:

$\frac{1}{2}$ $\div$ 1 $\frac{3}{4}$

a)

$\frac{7}{4}$

b)

$\frac{3}{8}$

c)

$\frac{4}{14}$

d)

5

46.

$\frac{2}{5}\div4$

a)

1/10

b)

10

c)

1/20

d)

2/20

47.

$\frac{2}{5}\div3$

a)

2/15

b)

1/7

c)

6/5

d)

6/15

48.

$\frac{6}{7}\div3$

a)

2/7

b)

7/2

c)

18/7

d)

7/18

49.

Find the reciprocal of $\frac{7}{11}$

a)

1 $\frac{1}{7}$

b)

$\frac{11}{11}$

c)

$\frac{11}{7}$

d)

$\frac{7}{7}$

50.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

51.

$Solve:\ \ \ \frac{4}{5}\div2\ =\$

a)

$\frac{8}{5}$

b)

$\frac{10}{4}$

c)

$\frac{2}{5}$

d)

$\frac{8}{10}$

52.

Patrick is making a kite for a science fair project. He must cut $\frac{1}{4}$ inch pieces out of a 8 inch piece of plastic. How many $\frac{1}{4}$ inch pieces can he cut out in total?

a)

16 pieces

b)

$\frac{1}{32}$ piece

c)

32 pieces

d)

$\frac{1}{16}$ piece

53.

Calculate
0.6÷5

a)

0.1

b)

0.12

c)

0.012

d)

1.02

54.

Calculate
1.08÷4

a)

2.7

b)

0.27

c)

2.07

d)

.20

55.

Calculate
7.8÷0.03

a)

2.6

b)

26

c)

260

d)

.26

56.

Calculate
5.75÷0.25

a)

0.23

b)

2.3

c)

2.03

d)

23

57.

Big Money Pedro bought a steak that weighs 1.4 pounds. The price is $4.50 per pound. How much does the steak cost?

a)

$4.20

b)

$6.90

c)

$22.50

d)

$6.30

58.

If you multiply 0.73 by 2.52, how many times would you move the decimal?

a)

2

b)

3

c)

4

d)

5

59.

4 x 0.03

a)

12

b)

0.12

c)

120

d)

0.012

60.

0.53 * 6.4

a)

0.3392

b)

3.392

c)

33.92

d)

339.2

61.

Add the decimal into this number:
2.39 x 4.37 = 104443

a)

10.4443

b)

104.443

c)

10444.3

d)

1.04443

62.

8.65 * 4

a)

32.48

b)

34.6

c)

34.8

d)

346

63.

7.9-3.47=

a)

11.37

b)

4.43

c)

3.32

d)

4.37

64.

55.78+4.6=

a)

60.28

b)

55.32

c)

56.44

d)

60.38

65.

7.05-4.6=

a)

2.45

b)

3.65

c)

11.65

d)

11.45

66.

94-4.8=

a)

89.2

b)

5.4

c)

90.80

d)

98.8

67.

2.98+5.3=

a)

2.51

b)

8.28

c)

3.63

d)

2.37

68.

The ratio used to find percent is...

a)

part/whole = %/100

b)

part/whole = 100 / %

c)

whole/part= %/ 100

69.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are sold?

a)

10%

b)

20%

c)

80%

d)

90%

70.

In the Central City Grand Prix, 12 out of 30 cars that started the race were able to complete the race. What percent of the cars finished the race?

a)

20%

b)

40%

c)

60%

d)

80%

71.

Nancy earned 60 points on her last test. If there were 75 possible points, what was her percent grade?

a)

20%

b)

40%

c)

60%

d)

80%

72.

There are 32 students in a class. Nine of those students are women. What percent are men? (Round to the Nearest Tenth)

a)

71.9%

b)

73.5%

c)

32%

d)

32.9%

73.

There are 42 teachers that work in a school. On Friday, 29 teachers were present. What percent of the teachers showed up for work?

a)

50%

b)

69%

c)

55%

d)

80%

74.

Bonnie took a history test and scored 21 out of 84 correct. What percentage did she get right?

a)

25%

b)

75%

c)

4%

d)

21%

75.

You got 23 correct on a quiz that was out of 25 points. What percent did you get correct?

a)

78%

b)

76%

c)

89%

d)

92%

76.

A garden has 10 tulips, 4 rose bushes and 6 sunflowers. What percent of the garden is tulips?

a)

10%

b)

20%

c)

100%

d)

50%

77.

There are 75 students in the school band. 45 students play woodwind instruments. What percent of students play woodwinds?

a)

35%

b)

60%

c)

55%

d)

70%

78.

What is surface area?

a)

The measure of the amount of space inside of a solid figure

b)

The sum of all the areas of all the shapes that cover the object

79.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

80.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

81.

Find the surface area of the rectangular prism.

a)

94 cm. squared

b)

60 cm. squared

c)

12 cm. squared

d)

19 cm. squared

82.

Find the total surface . ?

a)

10.30cm²

b)

130cm³

c)

144cm²

d)

130cm²

83.

What is the height of this figure?

a)

6 cm

b)

14 cm

c)

4 cm

d)

24 cm

84.

Find the AREA of this figure.

a)

160 square feet

b)

161 feet

c)

106

d)

1600 feet

85.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

2

d)

16 cm

86.

What is the area of this figure?

a)

40 square units

b)

41 units

c)

26

87.

Find the area of the parallelogram.

a)

12 units²

b)

10 units²

c)

13 units²

d)

6 units

88.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

89.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

90.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

91.

What is a Ratio?

a)

A Denominator

b)

A comparison of two quantities

c)

A Mixed Number

d)

Order of Operations

e)

92.

How many ways can you write a ratio?

a)

1

b)

2

c)

3

d)

4

e)

93.

What is the ratio of bananas to apples?

a)

2 : 14

b)

2 to 7

c)

5 : 7

d)

7 to 2

e)

94.

What is the ratio of birds to All Animals?

a)

18 to 8

b)

3 to 18

c)

11 : 18

d)

7 : 3

e)

3 : 25

95.

Write the ratio of TUBAS to FLUTES in three ways!

96.

Select ALL the Equivalent Ratios for $\frac{2}{3}$

** HINT: 3 answers **

a)

$\frac{4}{6}$

b)

$\frac{5}{15}$

c)

$\frac{8}{12}$

d)

$\frac{20}{30}$

e)

$\frac{12}{13}$

97.

How much money did Mikey make this week?

a)

$ 7

b)

$ 5

c)

$ 10

d)

$ 25

e)

98.

TAPE DIAGRAM:

The ratio of red pens to blue pens in a package is 2:5. If there are 40 blue pens in the package, how many red pens are in the package?

(a)

99.

TAPE DIAGRAM:

The ratio of the number of CARS to SUVs in a parking lot is 5:2. There are 70 total Vehicles in the parking lot. How many SUVs are there?

(a)

100.

Complete the Ratio Table.

a)

5

b)

50

c)

2

d)

100

e)

$\frac{1}{2}$

101.

FInd the missing value in the Ratio Table.

a)

14

b)

2

c)

7

d)

4

e)

1

102.

Find the Missing Value in the Ratio Table.

a)

12

b)

3

c)

18

d)

36

e)

20

103.

Select the Equivalent Ratio of $\frac{3}{5}$

a)

$\frac{6}{9}$

b)

$\frac{12}{20}$

c)

$\frac{6}{15}$

d)

$\frac{9}{10}$

e)

104.

Match the expanded form with the correct exponent.

a)

$4^3$

1.

4x4x4

b)

$4^7$

2.

4x4x4x4x4x4x4

c)

$2^5$

3.

2x2x2x2x2

d)

$5^2$

4.

5x5

e)

$7^4$

5.

7x7x7x7

105.

Simplify $12^2$

(a)

106.

Simplify $9^3$

(a)

107.

Simplify $1^5$

(a)

108.

Match the Exponent to the Standard Form

a)

$6^2$

1.

36

b)

$2^3$

2.

8

c)

$7^3$

3.

343

d)

$5^4$

4.

625

e)

$10^3$

5.

1,000

109.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

110.

Which has a greater value?
2³or 3²

a)

3²

b)

2³

111.

How would you represent the power using factors?

10^2

a)

10

b)

10 x 10

c)

10 x 10 x 10

d)

10 x 2

112.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

IM Acc. 6th Units 1-4 Review

Total questions: 112

Worksheet time: 3hrs 48mins

Similar Resources on Wayground