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Math review

Total questions: 52

Worksheet time: 3hrs 37mins

Name
Class
Date
1.
A football team gains 2 yards on the first play, loses 3 yards on the second, loses 5 yards on the third play and finally gains 4 yards on the fourth play.  What is the teams overall gain or lose after four plays?
a)
+14 yards
b)
-2 yards
c)
+2 yards
d)
-14 yards
2.
  Solve:
12 - 3y = -6
a)
6
b)
-6
c)
2
d)
-2
3.
You drive 25 miles in one hour. At this rate, how far will you drive in 3 hours?
a)
25 miles
b)
50 miles
c)
125 miles
d)
75 miles
4.
Walmart has cookies on sale 20 for $3.99 and Target has cookies on sale 36 for $5.99. which is the better buy?
a)
Walmart
b)
Target
5.
Express as a unit rate. Round to the nearest tenth, if necessary.
$25.97 for 8 boxes 
a)
$3.24 per box
b)
$.31 per box
c)
$3.25 per box
d)
$3 per box
6.
Write the percent as a fraction in simplest form. 
65%
a)
.65
b)
65/100
c)
7/50
d)
13/20
7.
Solve for x:
-4x - 7 ≥ 21
a)
x≥7
b)
x≥-8
c)
x≤8
d)
x≤-7
8.
Solve:
4+ (-5) - 6
a)
3
b)
5
c)
-5
d)
-7
9.
1× 3 ⁄4 =
a)
38
b)
34
c)
12
d)
14
10.
41× 32=
a)
1212
b)
332
c)
13
d)
16
11.
3÷ 1=
a)
32
b)
68
c)
38
d)
12
12.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

13.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

14.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
15.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

16.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
17.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
18.
The area of a square is 36 cm2.  What is the length of one side?
a)
6 cm
b)
24 cm
c)
9 cm
d)
9 cm
19.
The area of a square is 100 cm2.  What is the perimeter?
a)
25 cm
b)
10 cm
c)
40 cm
d)
50 cm
20.
If I know the area of a square, how do I find the side length?
a)
I square the area.
b)
I divide the area by 2.
c)
I take the square root of the area.
d)
I divide the area by 4.
21.

A perfect square is a number whose square root is ___________.

a)

Even

b)

irrational

c)

Rational

d)

Odd

22.
The √20 is between which two consecutive integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
23.

Which number has a square root that is between 7 and 8?

a)

48

b)

81

c)

60

d)

36

24.
What is the best classification for this number?  .78787878...
a)
integer
b)
rational
c)
irrational
d)
whole
25.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

26.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

27.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
28.
What do you call a decimal that has a finite set of digits as a result of dividing and has a remainder of 0?
a)
prime factor
b)
prime number
c)
repeating decimal
d)
terminating decimal
29.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
30.

Simplify (evaluate):

3-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

31.

Are these two equivalent:

22 = (-2)2

a)

Yes

b)

No

32.

Simplify (evaluate):

5-2

a)

-10

b)

1/25

c)

1/(5)2

d)

-1/10

33.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
34.
Write an equation models the following statement:
 17 less than h equals 42
a)
17-h=42
b)
h-17=42
c)
h+17=42
d)
17+h=42
35.
Jo is thinking of a number. Four less than 9 times the number is 176. How could I find Jo's number?
a)
9x - 4 = 176
b)
4 - 9x = 176
c)
9x + 4 = 176
d)
4x + 9 = 176
36.

 25x = 10\frac{2}{5}x\ =\ 10  

a)

4

b)

25

c)

50

d)

20

37.
Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?
a)
800 + 5x = 4000
b)
800x + 5 = 4000
c)
4000 + 5x= 800
d)
800 + 5 = 4000
38.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
39.
The members of Carver Middle School's Junior Beta Club need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?
a)
300x + 10 ≥ 2000
b)
10x + 300 ≤ 2000
c)
10x + 300 > 2000
d)
300 + 10x ≥ 2000
40.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
41.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
42.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number
43.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
44.
16÷(2x4)-3
a)
5
b)
-1
c)
25
d)
29
45.
18 + [15 - (8 - 1)] x 3
a)
72
b)
42
c)
78
d)
70
46.

Simplify:  12+2(810)2-12+2\left(8-10\right)^2  

a)

-20

b)

-4

c)

40

d)

-40

47.

Simplify if w = -4


-7w2 + 2w

a)

104

b)

-64

c)

-120

d)

120

48.

Evaluate bc + 5a

when a = 3, b = 4, and c = -6

a)

9

b)

38

c)

-38

d)

-9

49.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
50.
Simplify by combining like terms.
m + 9 - 4m
a)
5m
b)
m + 5m
c)
-3m + 9
d)
4m
51.
What is the coefficient here?
17u + 8
a)
17
b)
8
c)
17u
d)
-8
52.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified