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Worksheets

7th Grade Recap and Review

Total questions: 59

Worksheet time: 3hrs 2mins

Name
Class
Date
1.
What is a rational number ?
a)
A rational number  is a number that cannot be written as a fraction.
b)
A rational number is a number that can be written as a fraction.
c)
A rational number cannot be a repeating  decimal.
2.
What is the decimal equivalent of 3/5?
a)
0.3
b)
3.5
c)
0.6
d)
0.2
3.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
4.
What is the letter is a the the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
5.

Mr. Parker had $86 to buy school supplies for his class. He bought 32 boxes of pencils and 32 packages of notebook paper. Each package of paper cost $1.09, and each box of pencils cost $0.75. How much money did Mr. Parker have left?

(a)  

6.
You go out for a long walk.  You walk 3/4 mile and then sit down to take a rest.  Then you walk 3/8 of a mile.  How far did you walk altogether?
a)
1 1/8
b)
3/8
c)
6/8
d)
1 1/4
7.

Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

a)

$8.38 per quart

b)

$8.49 per quart

c)

$8.57 per quart

d)

$8.92 per quart

8.

What is the difference of –96.43 – (–98.67)?

a)

–195.1

b)

–2.24

c)

2.24

d)

195.1

9.

What is the simplified value of the expression below?

-8 * (-3)

a)

-24

b)

-11

c)

11

d)

24

10.

What is the simplified value of the expression below?

-2.6 + 5.8

a)

-8.4

b)

-3.2

c)

3.2

d)

8.4

11.

What is the simplified value of the expression below?

12.4 x (-6.3)

a)

-78.12

b)

-1.97

c)

1.97

d)

78.12

12.

Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change will Anusha receive when she pays for her clothes?

a)

$3.50

b)

$7.50

c)

$9.00

d)

$16.50

13.
When multiplying two numbers with the same sign your answer will be? (neg x neg or pos x pos)
a)
Negative
b)
Zero
c)
Positive
d)
No Sign
14.
What is the quotient?
3/4 ÷ 3/8
a)
1/2
b)
1/4
c)
0
d)
2
15.

What is the product?

4/5 × -1/5

a)

- 5/10

b)

4/10

c)

- 4/25

d)

5/25

16.

What is the sum?
45+15\frac{4}{5}+\frac{1}{5}  

a)

510\frac{5}{10}

b)

12\frac{1}{2}

c)

1

d)

45\frac{4}{5}

17.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
d)
None of the above
18.
When multiplying or dividing a NEGATIVE and NEGATIVE number your answer will be...
a)
Positive
b)
Negative
c)
Depends on the largest number
d)
None of the above
19.

What is the simplified value of the expression below?

12.4 x (-6.3)

a)

-78.12

b)

-1.97

c)

1.97

d)

78.12

20.
How would the fraction 4/10 be written as a decimal?
a)
4.10
b)
.4
c)
.04
d)
40
21.

144 ÷(0.4) =-144\ \div\left(-0.4\right)\ =  

(a)  

22.

26.95 ÷ (5 12)=26.95\ \div\ \left(-5\ \frac{1}{2}\right)=  

a)

0.49-0.49  

b)

4.9-4.9  

c)

3.3-3.3  

d)

5.3-5.3  

23.

Is this table proportional or non-proportional?

a)

non-proportional

b)

proportional

24.

Which ordered pair represents the origin on a graph?

a)

(1,1)

b)

(0,1)

c)

(0,0)

d)

(1,0)

25.

Does the table above represent a proportional or non-proportional relationship?

a)

Proportional

b)

Non-Proportional

26.

In the equation, y = kx, what does "k" represent?

a)

Constant of Proportionality

b)

Constant Rate of Change

c)

Input

d)

Output

27.

At what point is the line crossing the Y-axis?

a)

1.5

b)

-2

c)

3

d)

-3

28.

Johnny went to the carnival. It cost $7 to get in and $2 for every ticket.

Which equation would match this verbal description?

a)

y = 2x

b)

y = 7x + 2

c)

y = 7x + 0

d)

y = 2x + 7

29.

Find the constant rate of change.

a)

1/2

b)

-1/2

c)

2

d)

-2

30.

Which of these terms is NOT used to describe the "m" in the equation y=mx+b.

a)

Constant rate of change

b)

starting point

c)

unit rate

d)

Constant of proportionality

31.

Proportional relationships must go through the origin. (0,0)

a)

True

b)

False

32.

Sally will earn $30 for every 5 hours that she babysits. Which of the following equations can be used to represent the proportional relationship?

a)

y = 1/6x +30

b)

y = 6x

c)

y = 5x + 6

d)

y = 6x +5

33.

Does this graph show a proportional relationship?

a)

Yes, because it is linear

b)

Yes, because it is linear and goes through the origin.

c)

No, because it is not linear

d)

No, because it does not go through the origin.

34.

Which equation matches the table?

a)

y =4 x + 7

b)

y = 1/4x +11

c)

y = 4x -11

d)

y = 11x + 4

35.

a)

A

b)

B

c)

C

d)

D

36.

Which equation does this graph represent?

a)
b)
c)
d)
e)
37.

a)

A

b)

B

c)

C

d)

D

38.

Solve the following equation:

5x+8=435x+8=43  

(a)  

39.

Solve the following equation:

x37=1\frac{x}{3}-7=1  

(a)  

40.

Solve the following equation:

126x=60-12-6x=-60  

(a)  

41.

Solve the following equation:

4y+11=234y+11=23  

(a)  

42.

Solve the following equation:

12x15=4512x-15=45  

(a)  

43.
What does isolate the variable mean?
a)
Make sure the variable is not alone.
b)
Get the variable by itself.
c)
Make the variable do a dance.
d)
Double the variable
44.

What is the next step to solve the equation

4x=804x=80  ?

a)

add 4 to both sides of the equation

b)

subtract 4 from both sides of the equation

c)

multiply both sides of the equation by 4

d)

divide both sides of the equation by 4

45.

What is the first step to solving the equation

4x + 30 = 1104x\ +\ 30\ =\ 110  ?

a)

add 30 to both sides

b)

subtract 30 from both sides

c)

multiply both sides by 30

d)

divide both sides by 30

46.
4x + 7 = 23
a)
x = 16
b)
x = 4
c)
x = 9
d)
x = 12
47.

What is the FIRST step in solving this equation?

a)

subtract 3 from each side

b)

add three to each side

c)

subtract 2 from each side

d)

add 2 to each side

48.

To undo an operation, you must do its opposite or inverse to both sides of the equation. Match each operation to its inverse.

a)

Addition

1.

Subtraction

b)

Subtraction

2.

Addition

c)

Multiplication

3.

Division

d)

Division

4.

Multiplication

49.

2(12) =-2\left(-12\right)\ =  



(a)  

50.

4(7) =-4\left(-7\right)\ =  



(a)  

51.

(3)2=\left(-3\right)^2=  



(a)  

52.

(5)2=\left(-5\right)^2=  

(a)  

53.

7(7)=7\left(-7\right)=  

(a)  

54.

9 x 7 = ​ (a)  

Choose from the below words
63
56
72
81
55.

12 x 4 = (a)  

Choose from the below words
48
44
52
56
56.

12 x 6 = (a)  

Choose from the below words
72
66
78
84
57.

The price of jeans was reduced $6 per week for 7 weeks. By how much did the price of the jeans change over the 7 weeks?

a)

42

b)

-42

c)

20

d)

-20

58.

(-5)(-6)(-2)

a)

-60

b)

-30

c)

-10

d)

-13

59.

(12)(-2)

a)

-24

b)

-10

c)

10

d)

24