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Math 7_Second Term Exam Reviewer

Total questions: 95

Worksheet time: 4hrs 17mins

Name
Class
Date
1.

Five less than twice a number is equivalent to thirty.

a)

5x - 2 = 30

b)

x - 5 = 30

c)

2x - 5 = 30

d)

5 - 2x = 30

2.

Eight less than three times a number is equivalent to thirty four.

a)

3x - 8 = 34

b)

8x - 3 = 34

c)

8 - 3x = 34

d)

8 - x = 34

3.

Fifteen less than half a number is equivalent to eleven.

a)

12x+15=11\frac{1}{2}x+15=11

b)

2x15=112x-15=11

c)

1512x=1115-\frac{1}{2}x=11

d)

12x15=11\frac{1}{2}x-15=11

4.

One and a half times a number increased by nine is equal to twenty one.

a)

(1/2)x + 9 = 21

b)

1.5x + 9 = 21

c)

x + 9 = 21

d)

1.5x - 9 = 21

5.

Twelve more than three quarters of a number is equal to thirty six.

a)

75x + 12 = 36

b)

(3/4)x + 12 = 36

c)

3x + 12 = 36

d)

25x + 12 = 36

6.

Sixteen more than five times a number is fifty six.

a)

5x + 56 = 16

b)

16x + 5 = 56

c)

5x + 16 = 56

d)

5x - 16 = 56

7.

One third the sum of a number and fifteen is eight.

a)

(1/3)x + 15 = 8

b)

3x + 15 = 8

c)

(1/3)(x + 15) = 8

d)

3(x + 15) = 8

8.

One quarter the difference of a number and twenty eight is equal to nine.

a)

(1/4)x - 28 = 9

b)

(1/4)(x - 28) = 9

c)

25x - 28 = 9

d)

(1/4)(x + 28) = 9

9.

Twice the sum of four times and number and ten is equal to seventy two.

a)

4x + 10 = 72

b)

2(x + 10) = 72

c)

2(4x + 10) = 72

d)

8x + 10 = 72

10.

Half the difference of five time a number and eight is equivalent to nineteen.

a)

5x + 8 = 19

b)

5x - 8 = 19

c)

(1/2)(5x - 8) = 19

d)

(1/2)(5x + 8) = 19

11.

Mike has at least $250 in his savings account. Which inequality represents this situation?

a)

m < 250

b)

m > 250

c)

m ≤ 250

d)

m ≥ 250

12.

Zach can spend at most $100 on new cloths. Which inequality represents this situation?

a)

s < 100

b)

s > 100

c)

s ≤ 100

d)

s ≥ 100

13.

The band practice will be less than 45 minutes long on Friday. Which inequality represents this situation?

a)

p < 45

b)

p > 45

c)

p ≤ 45

d)

p ≥ 45

14.

All items at Pat's Pasta cost more than $10. Which inequality represents this situation?

a)

i < 10

b)

i > 10

c)

i ≤ 10

d)

i ≥ 10

15.

You have to be taller than 48 inches to ride the roller coaster. Which inequality represents this situation?

a)

r < 48

b)

r > 48

c)

r ≤ 48

d)

r ≥ 48

16.

Match the inequality clue word with the correct inequality symbol. AT MOST

a)

\le

b)

\ge

c)

<<

d)

>>

17.

Match the inequality clue word with the correct inequality symbol. AT LEAST

a)

\le

b)

\ge

c)

<<

d)

>>

18.

Match the inequality clue word with the correct inequality symbol. IS LESS THAN

a)

\le

b)

\ge

c)

<<

d)

>>

19.

Match the inequality clue word with the correct inequality symbol.  IS MORE THAN

a)

\le

b)

\ge

c)

<<

d)

>>

20.

What is the difference between less than a number and is less than a number ?

a)

Less than means to subtract , Is less than requires an inequality symbol.

b)

There is no difference

c)

Less than means it is just less than , and is less than means it can also be equal to.

21.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

22.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
23.

Factor 7x + 21 using the GCF

a)

7(x+3)

b)

7x + 3

c)

3(x + 7)

d)

x(7 + 3)

24.

Factoring is the opposite of which property

a)

associative

b)

additive inverse

c)

distributive

d)

commutative

25.

What is the GCF of 28ab and 42b

a)

4b

b)

6b

c)

7b

d)

14b

26.
4x - 10 ≤ 22
a)
x ≤ 8
b)
x ≥ 8
c)
x ≤ 3
d)
x ≥ 3
27.
4x - 10 ≤ 22
a)
x ≤ 8
b)
x ≥ 8
c)
x ≤ 3
d)
x ≥ 3
28.
15 + 7x ≥ 29
a)
x ≥ 2
b)
x ≥ -2
c)
x ≤ 2
d)
x > 2
29.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
30.
-2x + 3(-4x + 6) ≤116
a)
x ≤ -7
b)
x ≥ 29
c)
x ≥ -7
d)
x ≤ 29
31.
4x - 3 < -1x + 12
a)
x > 3
b)
x < 3
c)
x < 5
d)
x > 5
32.
-2x + 2 > 3x - 8 
a)
x > -9
b)
x > 2
c)
x < -9 
d)
x < 2
33.
3(x - 3) ≤ 2(x + 2)
a)
x ≤ -5
b)
x ≥ 5
c)
x ≥ 13
d)
x ≤ 13
34.

When graphing do you use an open or closed circle for > ?

a)

Open

b)

Closed

35.

Which graph represents the inequality 2x + 3 < 7

a)
b)
c)
d)
36.
Do you flip the sign?
-3x + 2  ≤  22
a)
YES
b)
NO
37.
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
38.

Does the sign need to flip when solving?

8y < -40

a)

YES

b)

NO

39.
solve 3 < -5n + 2n
a)
n < -1
b)
n ≤ -1
c)
n > -4
d)
n < -3
40.
Which could be a possible solution?
a)
8
b)
18
c)
16
d)
22
41.
Solve:
a)
x < 24
b)
x < 3
c)
x > 24
d)
x < 10.3333....
42.
8(x + 5)
a)
13x
b)
8x + 13
c)
8x + 40
d)
8x + 5
43.
-2(3m + 9)
a)
-6m + 18
b)
-6m - 18
c)
-5m + 9
d)
-5m + 18
44.
-(5x + 1)
a)
-5x - 1
b)
-5x + 1
c)
-4x
d)
4x
45.
7a(3b - 2c + 4)
a)
10ab + 5ac + 11a
b)
10ab - 14ac + 11a
c)
21ab - 14ac + 28a
d)
21ab + 14ac + 28a
46.
⅔(¼x - 6)
a)
⅙x - 4
b)
½x - 3
c)
⅘x - 2
d)
⅛x - 6
47.
6(x + 1) - 5(x + 2)
a)
-2x + 3
b)
x + 5
c)
2x - 4
d)
x - 4
48.
-7(w-4)+3w - 27
a)
10w + 21
b)
-4w + 1
c)
3w + 5
d)
2w -  5
49.
8(x+5) - 4(x+4)
a)
2x + 10
b)
2x + 21
c)
4x + 24
d)
4x - 8
50.
-9(m+2) + 4(6-7m)
a)
-3m + 12
b)
-13m - 18
c)
-37m + 6
d)
-43m + 13
51.
-3(-9v-4)-2(v-2)
a)
10v - 11
b)
25v + 16
c)
30v + 9
d)
32v - 10
52.
-4(8-c)-(3c+7)
a)
c - 24
b)
c - 39
c)
-7c + 15
d)
-7c + 1
53.
6(p+6)-(p-6)
a)
5p + 42
b)
5p  + 30
c)
7p + 42
d)
7p + 30
54.
21-8(w+3)+3+7w
a)
w
b)
-w
c)
3w
d)
-4w
55.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
56.

6b = 30

a)

b = 36

b)

b = 24

c)

b = 180

d)

b = 5

57.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
58.
Solve for w:
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
59.
7x - 4 = 5x + 4
a)
x = 0
b)
x = 4
c)
x = 2
d)
x = 8
60.
6x + 2 = 5x + 7
a)
x = 5
b)
x = -1
c)
x = -5
d)
x = 8
61.
1 + x = 2x - 2
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
62.
x + x + 6 = 26
a)
x = 20
b)
x = 25 
c)
x = 15
d)
x = 10 
63.
x + x - 40 = 20 
a)
x = 15
b)
x = 30 
c)
x = 45
d)
x = 60 
64.
6 - 2a = 4 
a)
a = -1
b)
a = 1
c)
a = -2
d)
a = 2
65.
The inverse operation of addition is __________.
a)
Multiplication
b)
Subtraction
c)
Division
d)
Squaring a Number
66.
The inverse operation of subtraction is ______________.
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
67.
Multiplication is the inverse operation of _____________.
a)
Addition
b)
Subtraction
c)
Division
d)
Multiplication
68.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
69.
Distribute:
-3(4x-1)
a)
-12x+3
b)
-12x-1
c)
-7x-3
d)
-7x+3
70.
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
71.
x - 32 = 49
a)
x = 17
b)
x = 71
c)
x = 81
d)
x = 49
72.
10x = 90
a)
x = 80
b)
x = 100
c)
x = 10
d)
x = 9
73.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
74.
26 = 5a + 1
a)
a= 5 45
b)
a= no solution
c)
a= 0
d)
a= 5
75.
-5 - 6a = -59
a)
a= 11
b)
a= -6
c)
a= 9
d)
a= 2
76.
4x + 10 = -26
a)
4
b)
-4
c)
-9
d)
9
77.
Solve for f:
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
78.

8x = 6x - 4

a)

2

b)

-2

c)

3

d)

0

79.

Simplify by combining like terms:

5x - 3x +x + 4

a)

9x+ 4

b)

3x + 4

c)

8x

d)

4x + 4

80.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
81.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
82.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
83.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
84.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
85.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
86.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
87.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
88.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
89.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
90.

Which of the following expressions is equivalent to the expression below?

x+0.5xx+0.5x

a)

1.5x1.5x

b)

0.75x0.75x

c)

xx

d)

2x2x

91.

Which of the following expressions is equivalent to the expression below?

x0.5xx-0.5x

a)

1.5x1.5x

b)

x(10.5)x\left(1-0.5\right)

c)

xx

d)

2x2x

92.

If the expression p0.25pp-0.25p represents the new price of an item after a discount of 25%.

Find the discounted price if the original price was 55 SAR.

a)

1320 SAR

b)

25 SAR

c)

25.25 SAR

d)

41.25 SAR

93.

You have s riyals and spent 10.50 SAR. Then you decide to keep 35\frac{3}{5} of what you have left, which is 5.50 SAR.

Which equation represents the scenario?

a)

35(s10.5)=5.50\frac{3}{5}\left(s-10.5\right)=5.50

b)

3(s10.5)5=5.50\frac{3\left(s-10.5\right)}{5}=5.50

c)

35s10.5=5.50\frac{3}{5}s-10.5=5.50

d)

10.535s=5.5010.5-\frac{3}{5}s=5.50

94.

Shera only has 150 SAR and wanted to treat her friends to snacks. She already paid 70 SAR for the pizza. Which inequality represents the number of soda drinks she can afford if each costs 4 SAR?

a)

15070<4x150-70<4x

b)

1504x70150-4x\le70

c)

4x+70<1504x+70<150

d)

4x+701504x+70\le150

95.

Shera only has 150 SAR and wanted to treat her friends to snacks. She already paid 70 SAR for the pizza. If the inequality 4x+701504x+70\le150 represents the number of Soda drinks, x, she can afford. Solve the inequality.

a)

x20x\le20

b)

x20x\ge20

c)

x76x\le76

d)

x76x\ge76