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End of term 3 exam revision

Total questions: 78

Worksheet time: 4hrs 31mins

Name
Class
Date
1.

Solve.

4(x+2)=164\left(x+2\right)=16  

a)

x = -2

b)

x = 0

c)

x = 1

d)

x = 2

2.

Solve.

4(5x)=84\left(5-x\right)=8  

a)

x = -3

b)

x = 7

c)

x = -7

d)

x = 3

3.

Solve.

3(x20)=153\left(x-20\right)=15  

a)

x = 75

b)

x = 3

c)

x = 25

d)

x = 10

4.

Solve.

9(x+3)=279\left(x+3\right)=27  

a)

x = 0

b)

x = 1

c)

x = 9

d)

x = 3

5.
Use the Distributive Property to solve the equation.
4( x + 2) = 16
a)
-2
b)
0
c)
1
d)
2
6.
Which expression is used to find the total area of the figure shown? 
a)
9 (10 + 7) 
b)
9 x 10 + 7 
c)
(10 x 7) x 9
d)
9 x 10 x 7 
7.

k - 2 < 7

a)

k < -9

b)

k > 9

c)

k < 9

d)

k > -9

8.

c - 7 > 8

a)

c < 15

b)

c > 15

c)

c < -15

d)

c > -15

9.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
10.

When you graph an inequality, you use a closed dot when you use which symbols?

a)
≤, ≥ 
b)
<, >
11.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
12.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
13.
Which inequalitity is represented by the following graph? 
a)
x ≠ 0
b)
x ≥ 0
c)
x > 0 
d)
x ≤ 0
14.
Which inequality is represented by the following graph?
a)
x < −2
b)
x ≤ − 2
c)
x > − 2
d)
x ≥ − 2
15.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
16.

>

a)

equal

b)

greater than

c)

greater than or equal to

d)

less than

17.

a)

equal

b)

less than

c)

less than or equal to

d)

greater than or equal to

18.

<

a)

equal

b)

less than or equal to

c)

less than

d)

greater than

19.

a)

equal

b)

less than or equal to

c)

greater than or equal to

d)

greater than

20.
Which graph matches the inequality
2 > p?
a)
A
b)
B
c)
C
d)
D
21.
Which graph matches the inequality
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
22.
Which graph matches the inequality
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
23.
What inequality is graphed here?
a)
x > 1
b)
x ≥ 1
c)
x < 1
d)
x ≤ 1
24.
What inequality is graphed here?
a)
x ≤ -2
b)
x < -2
c)
x > -2
d)
x ≥ -2
25.

Translate: 5 times a number is at least 60.

a)

5x < 60

b)

5x > 60

c)

5x ≤ 60

d)

5x ≥ 60

26.

Translate:

A number increased by 4 is no more than -18.

a)

x + 4 < -18

b)

x + 4 > -18

c)

x + 4 ≤ -18

d)

x + 4 ≥ -18

27.

Translate:

Twice a number is smaller than 42.

a)

2x < 42

b)

2x > 42

c)

2x ≤ 42

d)

2x ≥ 42

28.

Which scenario could be represented by the graph?

a)

The temperature is less than -1 degree.

b)

The temperature is more than -1 degree.

c)

The temperature is at most -1 degree.

d)

The temperature is at least -1 degree.

29.
The keywords "at least" are used with which of the following symbols?
a)
b)
c)
>
d)
<
30.
The keywords "at most" are used with which of the following symbols?
a)
b)
>
c)
<
d)
31.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
32.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
33.
n +10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n + 7
34.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
35.
13+6k+11k-10
a)
17k+-13
b)
13k+17
c)
-13+17k
d)
3 + 17k
36.

(2x + 4) + (3x + 5)

a)

14x

b)

6x + 8x

c)

5x + 9

d)

x - 1

37.

(4x - 3) + (9x + 5)

a)

13x +2

b)

5x - 8

c)

13x + 8

d)

13x - 2

38.

(2x + 5) - (6x + 3)

a)

8x + 8

b)

-4x + 2

c)

-4x + 8

d)

4x - 2

39.

(5x + 2) - (2x - 5)

a)

3x - 3

b)

7x + 7

c)

3x + 3

d)

3x +7

40.

2z + 5 + 8p + n

Which are the coefficients?

a)

2,8

b)

2, 8, 5

c)

n

d)

2, 8, 1

41.

2(2x + 3) + 3(4x + 5)

a)

6x + 8

b)

16x + 21

c)

56x + 8

d)

16x + 8

42.

5 - 3y + j - 8

Which is/are constants?

a)

3, j

b)

5, -8

c)

3y, 5, j, 8

d)

y, j

43.

What are the constants?

4 - 6y - 3 + 7

a)

4, -3, 7

b)

6y

c)

6, 3, 7

d)

4,6, 3

44.

What are the coefficients?

7h + n + 2x -5

a)

7h, n, 2x

b)

7, 2, 5

c)

h, n, x

d)

7, 1, 2

45.

What is 2x + x?

a)

2x2

b)

2x

c)

3x

d)

5x

46.

Can you simplify 3x + 7?

a)

Yes, you can add 3 and 7

b)

Yes, you can add 1x and 7

c)

No, you can't add them because they don't have like terms

47.

Use the Distributive Property to simplify:

-2(x + 5)

a)

-2x + 10

b)

-2x - 10

c)

-2x + 5

d)

-2x - 5

48.
Name the property showed by the following statement.
a(bc) = (ab)c
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
49.
Name the property showed by the following statement.
3a = a3
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Addition Property of Zero (Identity)
50.
What property is this? 
5 + (8 + 14) = (5 + 8) + 14
a)
Associative Property of Multiplication
b)
Distributive Property
c)
Identity Property
d)
Associative Property of Addition
51.
12 + 7 = 7 + 12 
What property is this? 
a)
Commutative Property of Addition
b)
Commutative Property of Multiplication
c)
Distributive Property
d)
Identity Property of Addition
52.
5 x (7 + 9) = (5 x 7) + (5 x 9)
a)
Distributive Property
b)
Associative Property
c)
Commutative Property
d)
Multiplying Property
53.
Which property of multiplication is shown?  
(6+3) x 7 = 6 x 7 + 3 x 7
a)
Commutative Property
b)
Identity Property
c)
Associative Property
d)
Distributive Property
54.
Which example DOES NOT show the commutative property?
a)
 6 x 2=2 x 6 
b)
3 x 1=3 
c)
4 x 5=5 x 4
d)
3 x 1=3 x 1
55.
Which is an example of the commutative property of multiplication?
a)
4 x (1 x 2) = (4 x 1) x 2
b)
2 x 2 = 4 x 1
c)
2(3) = 2(4)
d)
3 x 4 = 4 x 3
56.
Simplify   6(x + -2)
a)
6x + -2
b)
6x + -12
c)
4x
d)
6x - 2
57.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
58.
-r -10r
a)
11r
b)
-11r
c)
9r
d)
-11
59.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
60.
8(x + 5)
a)
13x
b)
8x + 13
c)
8x + 40
d)
8x + 5
61.
3(2y - 7)
a)
6y + 7
b)
6y - 7
c)
6y + 21
d)
6y - 21
62.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
63.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
64.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
3m – 5t
a)
21
b)
11
c)
10
d)
22
65.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
66.
6a - 3d
when a = 1, d = 2
a)
3
b)
12
c)
1
d)
0
67.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
68.
7(4)
a)
The product of seven and four
b)
Seven minus four
c)
Quotient four
69.
54 + 12
a)
Twelve increased by fifty four
b)
Fifty four increased by twelve
c)
The difference of fifty four and twelve
70.

Choose the algebraic expression that matches the verbal phrase: 4 more than 3 times a number

a)

4n + 3

b)

4 + 3n

c)

3 + 4n

d)

3n + 4

71.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

72.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g − 57

d)

57 + 3g

73.

Translate this phrase into an algebraic expression.

2 times the sum of a number and 15

Use the variable B to represent the unknown number.

a)

2(B+15)

b)

2B+15

c)

2B×15

d)

2×15B

74.

Which term indicates that we should add?

a)

Increased by

b)

Less than

c)

Times

d)

Divided into

75.

What is the inverse operation needed to solve for p?

2p - 254= 900

a)

subtraction

b)

addition

c)

multiplication

d)

division

76.
What is the first step to solve this equation:
11 - 3x = 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.
77.
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
78.

Solve for a.
7 + a3  =  57\ +\ \frac{a}{3}\ \ =\ \ 5  

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15