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Worksheets

Final review (half way through year)

Total questions: 50

Worksheet time: 3hrs 18mins

Name
Class
Date
1.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

2.

An electric fan has a diameter of 10 inches. Find the area of this fan.

a)

78.5 sq. in.

b)

314 sq. in.

c)

31.4 sq. in.

d)

49.298 sq. in.

3.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
4.
A shop produces 39 wetsuits every 2 weeks.  How long will it take the shop to produce 429 wetsuits?
a)
18 wk
b)
20 wk
c)
22 wk
d)
24 wk
5.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
6.

Find the missing number.

13 + (       ) = 0

a)

13

b)

- 13

c)

113\frac{1}{13}

d)

−113-\frac{1}{13}

7.

Simplify the expression.

-4.7 + 18.5

a)
23.2
b)
13.8
c)
-13.8
d)
-23.2
8.
(-25) ÷ (-5)
a)
5
b)
-5
c)
-20
d)
-30
9.
(9 + 23) ÷ (5 - 3) = 
a)
16
b)
32
c)
15
d)
12
10.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
11.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
12.

Write a percent proportion and solve. 9 is 36% of what number?

Part -

Whole -

Percent -

a)

10

b)

25

c)

20

13.

Solving percent proportion word problems: A shirt that originally cost $40 is on sale for 25% off. What is the sale price of the shirt?

a)

$35

b)

$25

c)

$30

d)

$45

14.
A TV is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
a)
$320
b)
$500
c)
$480
d)
$720
15.

Is the given table proportional? If so, what is the constant?

a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
16.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
17.
Solve for d:
-7(6 + d) = 49
a)
13
b)
1
c)
-1
d)
-13
18.
Figure out what n equals in this equation:
6n + 4 = -26
a)
n=-6
b)
n= -5
c)
n= 8
d)
n= -4
19.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, the boat was rented if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

20.

Solve the following equation and choose the correct solution for n.

61=9n+761=9n+7  

a)

n = 5

b)

n = 6

c)

n = 7

d)

n = 8

21.

-2 x (-5) x(-10)

What is the answer?

a)

100

b)

-100

c)

50

d)

-50

22.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

23.
3(2c - 5)
24.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
25.
Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?
a)
2.5 hours
b)
4.5 hours
c)
7.5 hours
d)
10.5 hours
26.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
27.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
28.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

29.
Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?
a)
475 cars per day
b)
19 cars per day
c)
.05 cars per day
d)
15 cars per day
30.

1 12 + 3 34 =1\ \frac{1}{2}\ +\ 3\ \frac{3}{4}\ =  

a)

4 464\ \frac{4}{6}  

b)

5 145\ \frac{1}{4}  

c)

4 144\ \frac{1}{4}  

31.

12 + 28 =\frac{1}{2}\ +\ \frac{2}{8}\ =

 Simplify

(a)  

32.
8/9 - 5/6 = 
a)
4/18
b)
1/18
c)
3/18
33.
What is the measurement of  y?
a)
100
b)
257
c)
103
34.
What is the measurement of x?
a)
25
b)
15
c)
20
35.
7(u+4)
a)
7u+28
b)
7u-4
c)
7u+4
d)
35u
36.
3(2c - 5)
37.
Simplify the expression:
6(x - 3 + 5y)
a)
6x + 18 - 30y
b)
6x 18 30y
c)
6x + 18 + 30y
d)
6x - 18 + 30y
38.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
39.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
40.
6 - 3a = 21
a)
a= 9
b)
a= -9
c)
a= -5
d)
a= 5
41.

Solve for x:
5x - 8 = 17

a)

x = 5

b)

x = 3

c)

x = -5

d)

x = 7

42.

Maria paid a $40 registration fee and $15 per class for yoga. If she paid a total of $115, which equation represents this situation?

a)

40c - 15 = 115

b)

15c = 115

c)

40 + 15c = 115

d)

15 + 40c = 115

43.

Solve for y:
-4(2 + y) = 28

a)

y = 9

b)

y = -5

c)

y = 5

d)

y = -9

44.

Solve for ff

45.

Balance to solve. Enter your answer as x=

46.

Compute: (9 + 2) x (8 - 5)

47.

Simplify the expression below

(−5⋅−4) ÷ (−3+5)\left(-5\cdot-4\right)\ \div\ \left(-3+5\right)

48.
What is the circumference of the following shape? (use an exact value)
a)
14π mi
b)
7π mi
c)
49π mi
d)
43.98 mi
49.

Solve −3x − 4 = 14

a)
b)
c)
d)
50.
Solve for x:
2x + 40 = 180
a)
70
b)
80
c)
90
d)
100