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Final Review 2025

Total questions: 50

Worksheet time: 4hrs 10mins

Name
Class
Date
1.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
2.
Cesar's piggy bank has 8 quarters, 2 dimes, 4 nickels, and 6 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel? 
a)
1/50
b)
2/95
c)
1/10
d)
4/19
3.

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is drawn and not replaced. Find the following probability:

P(blue, purple)

a)

3/5

b)

3/4

c)

3/20

d)

2/5

4.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
5.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
6.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

7.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
8.

What is the probability that you choose blue? *simplify

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

9.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
10.
Calculate the interest.  I = PRT,
Principal = $10000,
Rate = 7%,
Time = 20 years

a)
1400
b)
1000
c)
14000
d)
14
11.
Maria borrowed $3,000 at a simple interest rate of 4% per year.  How much did she have to repay after 4 years?
a)
$480
b)
$3,480
c)
$4,800
d)
$7,800
12.

When converted to a decimal, which fraction is repeating?

a)

1/2

b)

1/3

c)

1/4

d)

1/5

13.

A photocopy machine can copy 42 pages every two minutes. How many pages can it photocopy in 5 minutes?

a)

105 pages

b)

21 pages

c)

420 pages

d)

4.2 pages

14.

A package of 8 notebooks costs $16.64. How much does one notebook cost?

a)

$2.00

b)

$1.66

c)

$0.48

d)

$2.08

15.

Round 45.987 to the nearest hundredth.

a)

46

b)

45.9

c)

45.99

d)

45.98

16.

Doug is going bowling with his family. The cost for all of them to rent shoes is $10. He brought a total of $40 with him to the bowling alley. Write an expression that can be used to find out how many games they can bowl if each game costs $3.50.

a)

10x + 40 = 3.50

b)

40x + 3.50 = 10

c)

3.50x + 10 = 40

d)

10x + 3.50 = 40

17.

Simplify:


9x + 7y - 6x - 5y

a)

15x + 12y

b)

3x + 2y

c)

3x2 + 2y2

d)

5xy

18.

Translate:


the product of a number, p and 8, increased by 13 is 56

a)

8p - 13 = 56

b)

8p + 13 = 56

c)

13p + 8 = 56

d)

13 - 8p = 56

19.

Translate:


a number, m, increased by 12 is equal too 48

a)

m + 12 = 48

b)

m - 12 = 48

c)

12 - m = 48

d)

12m = 48

20.

Simplify:


4x2 + 8x + 3x2 + 10x

a)

7x4 + 10x2

b)

12x2 + 80x

c)

7x2 + 18x

d)

25x6

21.
 Solve and then match the correct solution & graph.
a)
A
b)
B
c)
C
d)
D
22.
What is the mode and range of the following data:
50   40   50   30   30   50
a)
Mode = 30 and 50
Range = 20
b)
Mode = 50
Range = 20
c)
Mode = 30 and 50
Range = 80
d)
Mode = 50
Range = 80
23.
Solve the following inequality:
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
24.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$841
c)
$58.43
25.
Identify the property shown.
a)
Commutative
b)
Associative
c)
Distributive
d)
None
26.
Simplify the expression: 7+3(1 - 2x) 
a)
21 - 6x
b)
10 - 2x
c)
10 - 20x
d)
10 - 6x
27.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
28.

A clothes shop has a 40% off sale. The cost of a dress is regularly priced $29.99.


How much will you pay for the dress that is on sale?

a)

$17.99

b)

$11.99

c)

$49.98

d)

$74.98

29.

In a sale, all prices are reduced by 15%. The normal price of a necklace is $90.


What is the sale price of the necklace?

a)

$76.50

b)

$13.50

c)

$85.00

d)

$103.50

30.

Which expression is equivalent to

2(3 – x) – 12 + 4x

a)

3x - 6

b)

3x - 7

c)

2x - 6

d)

2x 0 7

31.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
32.

At 6am in Buffalo, the temperature was -13 degrees. By noon, the temperature was 27 degrees. How much did the temperature change?

a)

23 degree change

b)

14 degree change

c)

40 degree change

d)

32 degree change

33.

A diver is located 150 feet below sea level. The diver descends 30 feet. What is the diver's new location?

a)

50 feet above sea level

b)

130 feet below sea level

c)

100 feet below sea level

d)

180 feet below sea level

34.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
35.
Where/what is the mistake?
a)
Line 2 - You should add 12 to both sides.
b)
Line 4 - You should multiply both sides by the reciprocal.
c)
Line 4 - You should multiply both sides by the original fraction. 
d)
Line 5 - There was a calculation error.
36.

144 = -12(x+ 5)

a)

-`7

b)

-17

c)

14

37.
What is the first step in solving the following equation?
3x - 5 = 20
a)
multiply both sides by 5
b)
add 5 to both sides
c)
divide both sides by 5
d)
subtract both sides by 5
38.
Solve.  -7x - 11 = 3
a)
2
b)
14
c)
-8
d)
-2
39.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
40.

What are the two steps used to solve for the variable in the following equation?

x118 = (6)\frac{x}{11}-8\ =\ \left(-6\right)  

a)

add 8 then divide by 11

b)

add 8 then multiply by 11

c)

subtract 8 then divide by 11

d)

subtract 8 then multiply by 11

41.

What is the value of the variable in the following equation?

3x + 4 = 193x\ +\ 4\ =\ 19  



(a)  

42.

What is the value of the variable in the following equation?

x3+ 9 = 2\frac{x}{3}+\ 9\ =\ 2  



(a)  

43.

4 + 7a + 6 - 2a = 45

a)

a = 5

b)

a = 8

c)

a = - 4

d)

a = 7

44.

-9(w - 4) = 54

a)

w = 10

b)

w = -6

c)

w = -3

d)

w = -2

45.

12y11<49-12y-11<49

a)

y<5y<-5

b)

y>5y>-5

c)

y>5y>5

d)

y<5y<5

46.

x+513x+5\le13

a)

x8x\ge8

b)

x18x\ge18

c)

x8x\le8

d)

x18x\le18

47.

-|18|

a)

18

b)

-18

c)

17

d)

-17

48.

-|-28|

a)

28

b)

-28

c)

29

d)

-29

49.

|16| - |-5|

a)

21

b)

-21

c)

11

d)

-11

50.

|2 − 8| − |−5|

a)

1

b)

-1

c)

11

d)

5