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Worksheets

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Total questions: 76

Worksheet time: 4hrs 31mins

Name
Class
Date
1.
Solve the following:  
-8 + (15-3) ÷ 4
a)
-5
b)
1
c)
-11
d)
11
2.
(82 ÷ 2) × 3 – 17
a)
206
b)
100
c)
106
d)
5
3.
2 + (9- 4)
a)
16
b)
77
c)
79
4.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
5.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
6.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
7.
Write an algebraic expression for "12 more than number". 
a)
x + 12
b)
12x
c)
x - 12
8.

A number multiplied by a variable.

a)

Constant

b)

Variable

c)

Expression

d)

Coefficient

9.

A term in an algebraic expression that never changes. Or, a number without a variable.

a)

Constant

b)

Expression

c)

Variable

d)

Coefficient

10.

In the expression below, which term is the constant?

4x 3y + 11z 24x\ -3y\ +\ 11z\ -2

a)

2

b)

-2

c)

4

d)

11

11.

What is the coefficient for the following term listed below:

x6-\frac{x}{6}

a)

6-6

b)

6

c)

16-\frac{1}{6}

d)

16\frac{1}{6}

12.

A letter in an expression or equation that represents an unknown value.

a)

Constant

b)

Variable

c)

Expression

d)

Coefficient

13.

Two terms who have the same varible and exponent.

a)

Variable

b)

Unlike terms

c)

Coefficient

d)

Like terms

14.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
15.

Simplify: 7y2 5y + 9y  5y27y^2\ -5y\ +\ 9y\ -\ 5y^2  

a)

6y2 6y^{2\ }  

b)

2y2 + 4y 2y^{2\ }+\ 4y\  

c)

12y2 + 14y12y^{2\ }+\ 14y  

d)

Can't be simplified

16.

Simplify the Expression:


7x2 - 3a +20 - 4x2 + 2a

a)

11x2 - a + 20

b)

3x2 - a + 20

c)

2a + 20

d)

3x2 - a

17.

5 = x95\ =\ \frac{x}{9}

a)

45 = x

b)

5 = x

c)

1.5 = x

d)

54 = x

18.

16 = 8w

a)

128 = w

b)

2 = w

c)

4 = w

d)

28 = w

19.

x + 5 = 18

a)

x = 13

b)

x = 23

c)

x = 3

d)

x = 90

20.

Solve for z:   6z+34z=96z+3-4z=9  

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

21.

16x - 18x = 36

a)

-2

b)

18

c)

-18

22.

-8.2x - 2.8x = 33

a)

-3

b)

3

c)

0

23.

35x  710x+ 12x = 56\frac{-3}{5}x\ -\ \frac{7}{10}x+\ \frac{1}{2}x\ =\ -56

a)

-70

b)

-1

c)

70

24.

Simplify the expression: 3(4x + 2)

a)

-12x - 6

b)

-12x + 2

c)

12x + 6

d)

-12x + 6

25.

Evaluate the expression: -4(5x + 1)

a)

-20x - 4

b)

-20x + 4

c)

-4 - 5x

d)

20x - 4

26.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

27.
Which of the following is equivalent to    3h +7(2 + 4h)?
a)
90h
b)
7h + 20
c)
50h
d)
31h +14
28.

Solve the equation: 2x + 5 = 3x - 1

a)

x = 5

b)

x = 7

c)

x = 8

d)

x = 6

29.

Solve the equation: 4(x + 2) = 3(x - 1)

a)

-11

b)

0

c)

5

d)

-10

30.

How many solutions?

x = 6

a)

one solution

b)

infinite solutions

c)

no solution

31.

How many solutions?

15 = - 15

a)

one solution

b)

infinite solutions

c)

no solution

32.

How many solutions?

5 = 5

a)

one solution

b)

infinite solutions

c)

no solution

33.

How many solutions?

5x + 10 = 5x + 10

a)

one solution

b)

infinite solutions

c)

no solution

34.

How many solutions?

-3x + 15 = 2x + 5

a)

one solution

b)

infinite solutions

c)

no solution

35.

x+9 = x9x+9\ =\ x-9  

a)

one solution

b)

no solution

c)

infinite solutions

36.
How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x
a)
One Solution
b)
No Solution
c)
Infinite Solutions
37.
How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n
a)
One Solution
b)
No Solution
c)
Infinite Solutions
38.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

39.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
40.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
41.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
42.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
43.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
44.

Solve the inequality.

2k9192k-9≤-19  

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

45.

Solve the inequality.
3x4<5-3x−4<5  

a)

x>3x>-3  

b)

x<3x<-3  

c)

x<13x<\frac{1}{3}  

d)

x>13x>\frac{1}{3}  

46.

Select the inequality shown

a)

x > 1

b)

x ≥ 1

c)

x < 1

d)

x ≤ 1

47.

Select the inequality shown

a)

x > 3

b)

x ≥ 3

c)

x < 3

d)

x ≤ 3

48.

Select the inequality shown

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

49.

Select the inequality shown

a)

x > 0

b)

x ≥ 0

c)

x < 0

d)

x ≤ 0

50.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
51.

Which graph represents -5≤x≤5?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

52.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
53.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
54.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
55.
Calculate the rate of change.
a)
6
b)
1/6
c)
-6
d)
-1/6
56.

Which statement describes the rate of change of the line?

a)

$20 each week

b)

$30 each week

c)

$25 each week

d)

$70 each week

57.

In "y = mx + b", the "m" represents ______.

a)

y-intercept

b)

x-intercept

c)

slope

d)

the formula

58.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
59.

What is the slope formula?

a)
b)
c)
d)
60.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
61.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
62.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
63.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

64.

What is the slope-intercept form of a line?

a)

Ax + By = C

b)

y = mx + b

c)

y - y1 = m(x - x1)

d)

y = Ax + By

65.
Which of the following are written in standard form?
a)
y=3x-5
b)
3x+16=5y
c)
2/3 x + 9/13 y = 21
d)
5x+7y=-12
66.

What is the y-intercept of 2x5y=35?2x-5y=35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

67.

Name the x- and y-intercepts for the equation: 5x3y=155x-3y=15

a)

(3, 0) and (0, -5)

b)

(0, 3) and (-5, 0)

c)

(5, 15) and (15, 3)

d)

(0, -3) and (5, 0)

68.

15 5=\left|15\right|\ -\left|-5\right|=  

a)

-10

b)

10

c)

20

d)

-20

69.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
70.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
71.
Solve the absolute value equation. 
a)
{7}
b)
{-7, 7}
c)
{0, 7}
d)
No Solution
72.

The Slope of this Line is :

a)

Negative

b)

Positive

c)

Zero

d)

Undefined

73.

The Slope of this Line is :

a)

Negative

b)

Positive

c)

Zero

d)

Undefined

74.

The Slope of this Line is:

a)

Positive

b)

Undefined

c)

Zero

d)

Negative

75.

The Slope of this line is:

a)

Negative

b)

Positive

c)

Zero

d)

Undefined

76.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3