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Chapter 7 Test - Part 1 (6th Grade)

Total questions: 60

Worksheet time: 3hrs 21mins

Name
Class
Date
1.

Rewrite the expression 4(3x + 1) without parentheses [think "four groups of (3x + 1)"].

a)

12x + 1

b)

12x + 4

c)

7x + 4

d)

7x + 1

2.

What expression matches the model above?

a)

4x+6

b)

2x+3

c)

-4x-6

d)

-2x-3

3.

Which algebraic expression is shown above?

a)

6x+36x+3

b)

3x+6-3x+6

c)

3x+63x+6

d)

9x9x

4.

Find the total amount of tiles.

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

-2x - 8

5.

Find the total amount of tiles.

a)

7x + 6

b)

-10x - 5

c)

10x + 1

d)

10x + 5

6.

Find the total amount of tiles.

a)

8 + 4x

b)

-8 - 4x

c)

8 + 2x

d)

6 + 4x

7.

Divide the tiles into equal groups

a)

2(3x + 10)

b)

3(2x + 7)

c)

6(x + 4)

d)

6(x + 3)

8.

Divide the tiles into equal groups

a)

2(9 + 4x)

b)

3(6 + 3x)

c)

6(3 + 3x)

d)

9(2 + x)

9.
Which of the following is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
10.
Which of the following is equivalent to 2(c - 8)?
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
11.
2(1+10v)
a)
2+12v
b)
2+20v
c)
2+9v
12.
3(4+3r)
a)
12+9r
b)
7+6r
c)
12+5r
13.
4(8n+2)
a)
4n+2
b)
12n+6
c)
32n+8
14.
5(2x-11)
a)
-10x-55
b)
10x-55
c)
55-10x
d)
10x+55
15.
Which of the following is equivalent to 6(8x -2)?
a)
48x - 6
b)
48x - 12
c)
36x
d)
42x
16.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
17.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
18.

Write an equivalent expression with parentheses for 15x + 25. (Split into equal groups!)

a)

5(3x + 5)

b)

3(5x + 25)

c)

15(x + 25)

d)

25(15x + 1)

19.

Write an equivalent expression with parentheses for 12x + 21. Split into equal groups!

a)

3(4x + 5)

b)

2(6x + 10)

c)

3(4x + 7)

d)

6(2x + 3)

20.

Write an equivalent expression with parentheses for 8x + 16. Split into equal groups!

a)

2(4x + 16)

b)

8(x + 2)

c)

8(2x + 8)

d)

4(x + 4)

21.

What is the inverse operation of subtraction?

a)

division

b)

addition

c)

multiplication

d)

subtraction

22.

What is the inverse operation of addition?

a)

multiplication

b)

division

c)

subtraction

d)

exponents

23.

What is n? n - 6 = 10

a)

n = 4

b)

n = 16

c)

n = 5

d)

n = 60

24.

Find n. 24 + n = 40

a)

n = 64

b)

n = 26

c)

n = 16

d)

In the living room

25.

Find n. n - 12 = 3

a)

n = 15

b)

n = 9

c)

n = 36

d)

n = 4

26.

Solve the following equation

X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

27.
Solve the following equation
1 + a = 15
a)
14
b)
16
c)
12
d)
- 16
28.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
29.
3 = c -1
a)
3
b)
4
c)
-3
d)
2
30.
Solve the following equation
2y = 18
a)
36
b)
16
c)
9
d)
20
31.
Solve the following equation
14m = 28
a)
2
b)
14
c)
32
d)
1/2
32.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
33.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

34.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

35.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

36.

What does the inequality sign mean?

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

37.

You must be older than 12 years old to ride the go-karts.

a)

a > 12

b)

a < 12

c)

a > 12

d)

a < 12

e)

a = 12

38.

More than 800 fans attended the opening soccer game.

a)

f > 800

b)

f < 800

c)

f > 800

d)

f < 800

e)

f = 800

39.

The occupancy of the room must be less than 437 people.

a)

p > 437

b)

p < 437

c)

p > 437

d)

p < 437

e)

p = 437

40.

Children under 3 years old get into the park for free.

a)

c > 3

b)

c < 3

c)

c > 3

d)

c < 3

e)

c = 3

41.

In order to qualify for free shipping, you must spend a minimum of $25 at Amazon.

a)

s > 25

b)

s < 25

c)

s > 25

d)

s < 25

e)

s = 25

42.

x is less than -3

a)

x < -3

b)

x > -3

c)

x ≤ -3

d)

x ≥ -3

43.

x is more than 16

a)

x < 16

b)

x > 16

c)

x ≤ 16

d)

x ≥ 16

44.

x is greater than 8

a)

x > 8

b)

x < 8

c)

x 8\le8

d)

x 8\ge8

45.

x is less than or equal to 6

a)

x < 6

b)

x > 6

c)

x ≤ 6

d)

x ≥ 6

46.
a)

640\frac{6}{40}

b)

34\frac{3}{4}

c)

12\frac{1}{2}

d)

1220\frac{12}{20}

47.

Solve.

a)

89\frac{8}{9}

b)

15\frac{1}{5}

c)

1

d)

45\frac{4}{5}

48.

18\frac{1}{8}   ÷\div  3

a)

3

b)

124\frac{1}{24}  

c)

38\frac{3}{8}  

d)

18\frac{1}{8}  

49.
What is the recriprocal of 4/5
a)
4/5
b)
5/4
c)
5/1
d)
1/5
50.

Solve:     89÷13 = Solve:\ \ \ \ \ \frac{8}{9}\div\frac{1}{3}\ =\  

a)

249\frac{24}{9}  

b)

927\frac{9}{27}  

c)

924\frac{9}{24}  

d)

34\frac{3}{4}  

51.

78÷34\frac{7}{8}\div\frac{3}{4}  

a)

1256\frac{12}{56}  

b)

5612\frac{56}{12}  

c)

2824\frac{28}{24}  

d)

2132\frac{21}{32}  

52.

23÷25\frac{2}{3}\div\frac{2}{5}  

a)

106\frac{10}{6}  

b)

610\frac{6}{10}  

c)

415\frac{4}{15}  

d)

154\frac{15}{4}  

53.

Solve:   4÷13Solve:\ \ \ 4\div\frac{1}{3}  

a)

12

b)

2

c)

43\frac{4}{3}  

d)

34\frac{3}{4}  

54.
2 ÷ 1∕4 =
a)
1/8
b)
8
c)
12
d)
1/12
55.
1 ÷ 1/5 =
a)
10
b)
1/10
c)
5
d)
1/5
56.
Maddy has 2 cakes that she cuts into eighths. How many 1/8 size pieces does she have?
a)
16
b)
10
c)
2
d)
4
57.
Divide. 1/3 ÷ 1/2
a)
2/3
b)
1/6
c)
4/8
d)
1 1/2
58.
Divide. 8 ÷ 1/3
a)
24
b)
2  2/3
c)
3/8
d)
1/24
59.
a)
10 hamburgers
b)
2/20 hamburgers
c)
8 hamburgers
d)
14 hamburgers
60.
Maddy has 2 cakes that she cuts into eighths. How many 1/8 size pieces does she have?
a)
16
b)
10
c)
2
d)
4