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Worksheets

incentive week

Total questions: 180

Worksheet time: 11hrs 47mins

Name
Class
Date
1.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
2.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
3.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
4.
2x = x + 3
a)
6
b)
3
c)
2
d)
x
5.

z - 33 = 234

a)

z = 267

b)

z = 231

c)

z = 317

d)

z = 281

6.

x - 82.1 = 3.65

a)

x = 11.86

b)

x = 79.25

c)

x = 91.75

d)

x = 85.75

7.

m + 5.44 = 17

a)

m = 4.86

b)

m = 22.44

c)

m = 13.86

d)

m = 11.56

8.

-7 (-8x - 5) = 91

a)

x = 0

b)

x = 8

c)

x = 12

d)

x = 1

9.

150= -6 (7 + 8x)

a)

x = 13

b)

x = -4

c)

x = 16

d)

x = -15

10.

96 = -3 (4x - 4)

a)

x = 15

b)

x = 11

c)

x = -5

d)

x = -7

11.

6 (n + 6) = 84

a)

n = -15

b)

n = -8

c)

n = 8

d)

n = 9

12.

-60 = 4 (2n - 5)

a)

n = -2

b)

n = - 4

c)

n = -5

d)

n = -10

13.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
14.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
15.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
16.

What is the slope of the line with the equation
 y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

 32-\frac{3}{2}  

b)

 32\frac{3}{2}  

c)

 44  

d)

 4-4  

17.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
18.
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
19.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
20.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
21.

Find the slope of the line through each pair of points.

( 19, - 16 ), ( - 7, - 15 )

a)

-4

b)

-1/26

c)

7

d)

-11/7

22.

Find the slope of the line through each pair of points.

( 20, 8 ) and ( 9, 16 )

a)

-16

b)

!/2

c)

0

d)

-8/11

23.

Find the slope of the line through each pair of points.

( 3 , - 20 ) and ( 5, 8 )

a)

14

b)

5/6

c)

-1/5

d)

2

24.

What is the slope between the two points?

( 4, - 3 ) and ( 9, 2 )

a)

1

b)

-1

c)

5

d)

-5

25.

What is the slope between the two points?

( 2, - 3 ) and ( 2, 4 )

a)

0

b)

undefined slope

c)

2

d)

4

26.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
27.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
28.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
29.
The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
30.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
31.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
32.
What is the solution set for the quadratic function? 
a)
{-1.4, 4.2}
b)
{-1.4}
c)
{4.2}
d)
{1.5}
33.
What are the zeros for the quadratic function? 
a)
(-6, 0) and (14, 0)
b)
(-50, 0) and (14, 0)
c)
(-6, 0) and (-50, 0)
d)
(-50, 0) and (-60, 0)
34.

What is the axis of symmetry for the following equation?

y=4x2-8x+9

a)

x = 5

b)

x=1

c)

y = 1

d)

y = 5

35.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
36.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
37.
a)
Function
b)
Not a Function
38.
.
a)
Function
b)
Not a Function
39.
.
a)
Function
b)
Not a Function
40.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
41.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
42.
Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}
a)
Yes
b)
No
43.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain.
Remember:  Domain is x 
(x,y)
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
44.
What is the range of the graph?
Remember: Range is y! 
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
45.
Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
46.
All of the x values or inputs are called what?
a)
Domain
b)
Range
47.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
Range is the y values 
(x,y)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
48.
Identify the domain of the following relation:
Remember domain is the "x" values
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
-6, 0, 2, 4
d)
14, 32, 38, 44
49.
What is the domain?
Remember domain is the "x" values. 
And an open circle means it DOES NOT equal that number - use < and >
Only use ≤ and ≥ with a closed circle.
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
50.
What is the DOMAIN of this graph? 
Remember DOMAIN is "x" values that go left to right. 
a)
-4 ≤ x ≤ 3
b)
-1 ≤ x ≤ 4
c)
4 < x < 3
d)
-1 < x < 4
51.
What is an equation for the line that passes through the coordinates (2,7) and (0, 1)?
a)
y = 3x + 1
b)
y = 1x + 3
c)
y = x - 3
d)
y = -x + 3
52.
What is an equation for the line that passes through the coordinates (2,0) and (0,3) ?
a)
y = (-1/2)x + 3
b)
y = 3x - (1/2)
c)
y = 2x + 3
d)
y = 3x - 2
53.
What is an equation for the line that passes through the coordinates (-1,2) and (7,6)  ?
a)
y = (1/2)x + 2.5
b)
y = (1/2)x - 5
c)
y = 3x + 4
d)
y = -3x + 4
54.
What is an equation for the line that passes that passes through the points (1,1) and (3,5)?
a)
y = x + 2
b)
y = 1x -2
c)
y = 2x + 1
d)
y = 2x - 1
55.
Which equation matches the table below?
a)
y = 3x - 6
b)
y = -3x + 6
c)
y = 3x + 6  
d)
y = -3x - 6
56.

If a = 4 b = 6, what is 3a + 5b?

a)

40

b)

42

c)

44

d)

46

57.
If x=5,find the value of 7x-1
a)
34
b)
36
c)
35
58.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
59.
If y=4,find the value of 3y+5
a)
27
b)
12
c)
17
60.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
61.
If a=6 and b= 7,find the value of 15-a-b
a)
2
b)
3
c)
4
62.
If a=4,b=5 and c=6,find 2c-a-b
a)
4
b)
3
c)
6
63.
When x = 3, y = 6 and z = 7, find 2x - z
a)
-1
b)
-2
c)
-3
d)
-4
64.
If y=7,find the value of 2(y+4)
a)
11
b)
22
c)
20
65.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

66.

What is the ordered pair for point K?

a)

(-3, -3)

b)

(3, -3)

c)

(-4, -4)

d)

(5, 8)

67.

On what axis would I expect to find point F?

a)

y-axis

b)

x-axis

68.

What is the origin?

a)

The point furthest away from the center of the coordinate plane

b)

The four regions of a coordinate plane

c)

the x-axis

d)

Where the x-axis and y-axis intersect

69.

What is the ordered pair of point L?

a)

(4, 4)

b)

(4, 2)

c)

(-4, -4)

d)

(2, -4)

70.

The vertical number line is called the __________?

a)

x-coordinate

b)

x-axis

c)

y-axis

d)

y-coordinate

71.

What is the ordered pair for point C?

a)

(2, -4)

b)

(2, 4)

c)

(4, 2)

d)

(4, -2)

72.

 y0=y^0=  

a)

y

b)

0

c)

1

d)

10

73.

 x5x^{-5}  =

a)

 1x5\frac{1}{x^{-5}}  

b)

 1x5\frac{1}{x^5}  

c)

 x51\frac{x^5}{1}  

d)

 x51\frac{x^{-5}}{1}  

74.

The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

75.

 x3x4 =x^3\cdot x^4\ =  

a)

 x12 x^{12\ }  

b)

 x1x^{-1}  

c)

 x7x^7  

d)

 x34x^{34}  

76.

 m2m6m=m^2\cdot m^6\cdot m=  

a)

 m8m^8  

b)

 m12m^{12}  

c)

 m4m^4  

d)

 m9m^9  

77.

 x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

 x6x^6  

b)

 x12x^{12}  

c)

 x42x^{-42}  

d)

 x12x^{-12}  

78.

The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.

a)

Add

b)

Subract

c)

Multiply

d)

Divide

79.

 9x23x=\frac{9x^2}{3x^{ }}=  

a)

 3x23x^2  

b)

 3x3x 

c)

 9x9x  

d)

 6x6x  

80.

 x17x8\frac{x^{17}}{x^8}  

a)

 x9x^9  

b)

 x25x^{25}  

c)

 x9x^{-9}  

d)

 x25x^{-25}  

81.

 (x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

82.

 (x7)2\left(x^7\right)^2  =

a)

 x14x^{14}  

b)

 x9x^9  

c)

 x5x^5  

d)

 2x72x^7  

83.

 (ab2)8\left(ab^2\right)^8  =

a)

 ab16ab^{16}  

b)

 a8b16a^8b^{16}  

c)

 a9b10a^9b^{10}  

d)

 ab10ab^{10}  

84.

 (a3b5)7\left(a^3b^5\right)^7  =

a)

 a3b35a^3b^{35}  

b)

 a10b12a^{10}b^{12}  

c)

 a8b8a^8b^8  

d)

 a21b35a^{21}b^{35}  

85.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
86.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
87.
x⁵⁄x³
a)
b)
x
c)
1
d)
x⁸
88.
Simplify
m⁵⋅m²
a)
m⁷
b)
c)
m¹⁰
d)
89.
Simplify
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
90.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
91.

7y+2y

(a)  

92.

-8d+8d

(a)  

93.

12a-5a

(a)  

94.

4p-11p

(a)  

95.

2h-9h+5h

(a)  

96.

8x-10x+x

a)

2x

b)

-x

c)

-2x

d)

x

97.
5x + 3y + 5 + 4x + 3y + y + 8
a)
9x + 7y + 13
b)
6x + 2y + 2
c)
25x + 2y + 3
d)
x + 7y + 12
98.
Simplify the following expression:
3 + 5x + 8 - 2x
a)
-3x2 - 11
b)
3x2 + 11
c)
11 - 3x
d)
11 + 3x
99.
Simplify the following expression:
(5 + 4x) + (2x - 8)
a)
13 + 6x
b)
6x - 3
c)
6x - 13
d)
6x + 3
100.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
101.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
102.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

103.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

104.

5x + 3x - 9

a)

7x - 9

b)

17x

c)

8x - 9

d)

-x

105.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
106.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
107.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
108.
-(8 - m)
a)
m - 8
b)
-8 - m
c)
8 - m
d)
m + 8
109.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
110.
4(-p - 6)
a)
4p - 24
b)
4p + 24
c)
-4p + 24
d)
-4p - 24
111.
-3(2c - 5)
a)
-6c - 15
b)
-6c + 15
c)
6c + 15
d)
6c - 15
112.

What number multiplied by 7 equals 49?

a)

6

b)

7

c)

8

d)

5

113.
What do the parentheses tell you to do?
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
114.
What is the answer to a multiplication sentence called?
a)
Quotient
b)
Product
c)
Sum
d)
Difference
115.

Mrs. Brown has 12 peaches. She puts 2 peaches into each bag. How many bags does she have?

a)

6

b)

24

c)

14

d)

8

116.

Complete the missing number in the count by six pattern:


6, 12, 18, ____, 30

a)

24

b)

32

c)

22

d)

20

117.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
118.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
119.
What is the equation of the line?
a)
y = 0
b)
y = 1
c)
y = 2
d)
x = 1
120.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
121.

what is the slope of y = 4 - 6x

a)

4

b)

6

c)

-6

d)

-4

122.

Match the graph to the equation

a)

y= 3/5x - 1

b)

X-Y=1

c)

3x-5y=1

d)

y= -3/5x - 1

123.

Graph 2x + 4y = 4

a)
b)
c)
d)
124.

-x + 2y = 3

a)
b)
c)
d)
125.

y = -x - 5

a)
b)
c)
d)
126.

y = 4 + 2x

a)
b)
c)
d)
127.

x - y = -3

a)
b)
c)
d)
128.

x = 5y + 5

a)
b)
c)
d)
129.

The graph of part of linear function is g shown on the grid. Which inequality best represents the domain of the part shown?

a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < g(x) ≤ 3

d)

-6 ≤ g(x) < 3

130.

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

131.

If p(x) = 5(x2 + 1) + 16, what is the value of p(11)?

a)

690

b)

736

c)

622

d)

626

132.

The set of all x-values of a function.

a)

Domain

b)

Range

c)

x-axis

d)

y-axis

133.

When the vertex of a parabola is at its highest point it is called _________.

a)

Minimum

b)

Maximum

c)

Intersection

d)

y-intercept

134.

y=mx+b is called ____________ .

a)

Slope Intercept Form

b)

Point Slope Form

c)

Standard Form

d)

Quadratic Function

135.

Rate of change also means

a)

Slope

b)

y-intercept

c)

Zerox-s

d)

Direct Variation

136.
What is the vertex of this equation?
y= x2+3x+5
Hint: find min in your calculator
a)
(1.5, -2.75)
b)
(1.5, 2.75)
c)
(-1.5, 2.75)
d)
(-1.5, -2.75)
137.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
138.
Write the equation.
a)
A
b)
B
c)
C
d)
D
139.
What is the solution to this system?
a)
(-2, -2)
b)
(2, -2)
c)
(-2,2)
d)
(2, 2)
140.
Combine Terms
3x - 2x + 6x =
a)
7x
b)
6x
c)
x + 6x
d)
7x2
141.
What is the slope between the points
(-3, -4) & (7, 6)?
a)
0
b)
Undefined
c)
-1
d)
1
142.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
143.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
144.
Write the equation of the line with slope = 5 and that goes through point (3, -5)
a)
y = 5x - 5
b)
y = 5x - 20
c)
y = 5x + 20
d)
y = 5x + 15
145.
Write the equation of the line that goes through the points (4, 7) and (0, -5)
a)
y = 1/3x + 7
b)
y = 3x + 7
c)
y = 1/3x - 5
d)
y = 3x - 5
146.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
147.
What is the equation for this line?
a)
y = 5
b)
x = 5
c)
y = -5
d)
x = -5
148.
What is the equation of the line?
a)
y = 5x - ⅔
b)
y = ⅔x - 5
c)
y = -5x + ⅔
d)
y = -⅔x + 5
149.
If g(x) = 2x2 - 4, find g(-2)
a)
-8
b)
-12
c)
4
d)
0
150.
Simplify.
a2 b0 a-3
a)
a
b)
1/a
c)
ab
d)
1/(a3)
151.
Solve the equation:  20 = n - 12
a)
8
b)
32
c)
-8
d)
120
152.
Carly has broken more than 72 pencils this year.
a)
x < 72
b)
x > 72
c)
x ≤ 72
d)
x ≥ 72
153.
5 ( x - 2) + 2x = 39
a)
1/7
b)
7
c)
4.14
d)
16.3
154.

Define substitute.

a)

the number multiplied by a variable

b)

to replace a variable with a value or an expression

c)

a number standing alone

d)

to find the value of an expression

155.

Define evaluate.

a)

the number multiplied by a variable

b)

to replace a value for a variable

c)

a number standing alone

d)

to find the value of an expression

156.

Select the constant in 8x + 2.

a)

x

b)

8x

c)

8

d)

+2

157.
x + y
a)
expression
b)
equation
158.
x + y = 50
a)
expression
b)
equation
159.
The numbers by themselves are called ___________
a)
constants
b)
coefficients
c)
exponents
d)
terms
160.
Equations must have an
a)
b)
=
c)
d)
161.

Does this function open up or down?

a)

up

b)

down

162.

What is the y-intercept?

a)

(0,-4)

b)

(-4,0)

c)

(-2,0)

d)

(2,0)

163.

What is the vertex?

a)

(0,-4)

b)

(4,0)

c)

(0,0)

d)

(3,5)

164.

What is the equation for the axis of symmetry?

a)

x=0

b)

x=2

c)

x=-4

d)

y=0

165.

Does the function open up or down?

a)

up

b)

down

166.

What is the y-intercept?

a)

(-1,8)

b)

(8,-1)

c)

(0,6)

d)

(6,0)

167.

What are the x-intercepts? (check all that apply)

a)

none

b)

(8,-1)

c)

(1,0)

d)

(-3,0)

168.
14 + (22 - 2) =
a)
34
b)
37
c)
40
169.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
170.
(2 x 5) + 18
a)
48
b)
20
c)
28
171.
(2 x 5) + 18
a)
48
b)
20
c)
28
172.
Solve:
(32 ÷ 8) + 27 - 11
a)
10
b)
20
c)
30
173.
Which operation is performed SECOND?
(13 - 1) + 4
a)
addition +
b)
subtraction -
c)
multiplication X
174.
Solve:
38 + (9 x 6) ÷ 3
a)
40
b)
65
c)
56
175.
20 x 2 - (10 - 4)
a)
22
b)
30
c)
34
176.
(23 + 24) -10 =
a)
37
b)
27
c)
47
177.
24x(4-2)÷6
a)
8
b)
2
c)
6
d)
5
178.
7x(7-4)÷3
a)
8
b)
6
c)
7
d)
5
179.
40+(72÷9)÷8
a)
49
b)
25
c)
41
d)
15
180.
23+(30÷10)x4
a)
35
b)
32
c)
12
d)
45