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Chapter 1 Review

Total questions: 110

Worksheet time: 5hrs 8mins

Name
Class
Date
1.
Evaluate 8a - b     if a = 10   and   b = 6
a)
74
b)
38
c)
1000
d)
9000
2.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
3.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
4.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
5.

Evaluate expression if a=3 and b=4

4b-5a

a)

2

b)

1

c)

-8

d)

8

6.
Evaluate -2x  if     x = 10
a)
-8
b)
20
c)
-20
7.
Evaluate the following expression:
x2 + 5 - x when x = 5
a)
25
b)
33
c)
20
d)
35
8.

Evaluate the expression when a = 3 b = 4

7a +8b 237a\ +8b\ -2^3  


a)

149

b)

47

c)

60

d)

45

9.

3yz\left|3y\right|-z  

Evaluate if y = 2 and z = 5

a)

1

b)

-1

c)

-11

d)

11

10.

Identify the property:

10 + 0 = 10

a)

Inverse Property

b)

Commutative Property

c)

Associative Property

d)

Identity Property

11.

Identify the property:

6 + (21 + 3) = (6 + 21) + 3

a)

Commutative Property

b)

Distributive Property

c)

Inverse Property

d)

Associative Property

12.
x 2 = 2 x 9
a)

Commutative Property

b)

Associative Property

c)

Inverse Property

d)
Distributive Property
13.

Which property is used in the following?

7(8 + 2) = 7 x 8 + 7 x 2

a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
None of the above
14.

Identify the property:

39 = 39

a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
15.

Identify the property:

If 31 = 2x - 5, then 2x - 5 = 31

a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
16.

"A" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

3

b)

4

c)

5

d)

6

17.

"B" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

1

b)

2

c)

3

d)

4

18.

"C" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

7

b)

8

c)

9

d)

2

19.

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

1

b)

2

c)

5

d)

6

20.

"E" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

6

b)

4

c)

2

d)

8

21.

"F" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

4

b)

9

c)

7

d)

8

22.

"G" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

6

b)

3

c)

1

d)

2

23.

"H" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

9

b)

7

c)

8

d)

4

24.

"I" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

a)

3

b)

8

c)

4

d)

7

25.

a×b=b×aa\times b=b\times a  

a)

Distributive property

b)

Associative Property

c)

Commutative Property

d)

Identity Property

26.

a×1=aa\times1=a  

a)

Identity Property

b)

Inverse Property

c)

Symmetric Property

d)

Reflexive Property

27.

(b)+b=0\left(-b\right)+b=0  

a)

Commutative Property

b)

Associative Property

c)

Inverse Property

d)

Identity Property

28.

Identify the property:

8 + (3 + 4) = 8 + (4 + 3)

a)

Transitive Property

b)

Distributive Property

c)

Commutative Addition

d)

Associative Property

29.

Which property says that order doesn't matter in addition and multiplication?

a)

Commutative Property

b)

Associative Property

c)

Identity Property

d)

Reflexive Property

30.
Four times the sum of 7 and w
a)
4 x w
b)
4(7 + w)
c)
47w
31.
m plus the product of 6 and n 
a)
m + 6n
b)
m - 6 + n
c)
6m + n
d)
m + 6 + n 
32.
Write a verbal expression for:
4q
a)
Four q
b)
Four times q
c)
Four plus q
33.

There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents this.

a)

f  47f\ -\ 47

b)

f + 47f\ +\ 47

c)

47 ÷ f 47\ \div\ f\

d)

47  f 47\ -\ f\

34.

There are r rows of chairs with 8 chairs in each row. Choose the expression that represents the total number of chairs.

a)

8r8r

b)

8 ÷ r 8\ \div\ r\

c)

8  r8\ -\ r

d)

8 + r8\ +\ r

35.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

36.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

37.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
38.

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

39.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
40.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

41.
Which of the following is equivalent to 4(2x + 3)
a)
8x + 12
b)
8x + 3
c)
8x - 12
d)
20x
42.
Which of the following is equivalent to 2(c - 8)?
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
43.
a)
6x+6
b)
5x+18
c)
6x+12
d)
6x+18
44.

What do the parentheses tell you to do?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

45.
3(3x +1)
a)
9x +3
b)
3x + 3
c)
12x
d)
9x + 1
46.
2(4 + 9w) 
a)
6+9w
b)
8+2w
c)
4+9w
d)
8+18w
47.
What does it mean to distribute?
a)
To multiply the numbers inside the parentheses by the number on the outside.
b)
To add all of the numbers together.
c)
To do the order of operations.
48.

Simplify the expression by using the Distributive Property:


3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

49.

Simplify the expression by using the Distributive Property:


-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

50.

Simplify the expression by using the Distributive Property:


9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

51.

Simplify the expression by using the Distributive Property:


8(4b - 5)

a)

32b + 40

b)

32b - 40

c)

32(b - 40)

d)

84b - 85

52.

Simplify the expression by using the Distributive Property:


8(2x + 7)

a)

16x + 7

b)

16x + 56

c)

16x + 15

d)

8x + 7

53.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

54.
Simplify the expression:
3(2h + 3c + 2)
a)
6h + 9c + 2
b)
6h + 9c + 6
c)
2h + 3c + 6
d)
5h + 6c + 5
55.

What is the simplified version of this expression? 4(p6)4(-p-6)  

a)

4p244p-24  

b)

4p+244p+24  

c)

4p+24-4p+24  

d)

4p24-4p-24  

56.
A set of ordered pairs is called what?
a)
Coordinates
b)
Relation
c)
Function
d)
Vertical Line Test
57.
A relation where every input yields one and only one output is called what?
a)
Relation
b)
Linear
c)
Exponential
d)
Function
58.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
59.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
60.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
61.
A student is planning an experiment to find out how the height from which he drops a ball affects how high the ball bounces. The dependent variable is the _____.
a)
Diameter of the ball
b)
Force acting on the ball
c)
Height that the ball bounces
d)
Height from which the ball is dropped
62.
This is a function. True or false?
a)
True
b)
False
63.
This relation is a function. True or false?
{(0,1), (2,4), (1,0), (2,3), (3,6)}
a)
False
b)
True
64.
What is the range of this graph?
a)
R = {1, 2, 3, 4, 5}
b)
R = {1 ≤ y ≤ 5 }
c)
R = {-6 ≤ y ≤ 6 }
d)
R = {-6, -3, -2, 2, 3, 4, 5, 6}
65.
If f(x) = -4x + 5 and g(x) = x2 + x, find  f(-2).
a)
8
b)
-8
c)
13
d)
-13
66.
What is the domain of this relation?
a)
{ -5 ≤ x ≤ 4 }
b)
{ -2 ≤ x ≤ 3 }
c)
{ -5 <  x ≤ 4 }
d)
{ -2 < x ≤ 4 }
67.
Identify the common difference.
-21, -18, -15, -12, ...
a)
4
b)
3
c)
-4
d)
-3
68.

Level 1: What is the y-intercept?

a)

It is where the line crosses the x-axis.

b)

It is where a vertical line crosses.

c)

It is where the line crosses the y-axis.

d)

It is where the slope crosses the y-axis.

69.

Level 2: What is the y-intercept shown on the graph?

a)

-2

b)

3

c)

-3

d)

None of these.

70.
a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

71.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
72.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
73.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
74.
a)
It is a function because each x has only one y.
b)
It's not a function because an x has multiple y's.
c)
It's not a function because a y has multiple x's.
d)
It is a function because each y has only one x.
75.
g(x) = 3x + 1
g(8) = ______
a)
25
b)
12
c)
6
d)
13
76.
g(x) = x + 1
g(10) = ______
a)
8
b)
9
c)
10
d)
11
77.
g(x) = x + 1
g(8) = ______
a)
9
b)
8
c)
7
d)
6
78.
g(x) = x + 1
g(2) = ______
a)
5
b)
4
c)
3
d)
2
79.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
80.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
81.
In the coordinate points (2,7) the 2 represents
a)
y
b)
origin
c)
x
d)
point
82.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
83.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
84.
What is the ordered pair?
a)
(8, 2)
b)
(2,7)
c)
(2,8)
d)
(8,3)
85.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
86.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
87.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
88.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
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}
89.

Find the y-intercept(s) of the graph shown.

a)

(-3.3, 0)

b)

(5.6, 0)

c)

(-5, 0)

d)

(0, 4)

90.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
91.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
92.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
93.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
94.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
95.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
96.
What is the range of the function given below?
a)
0 ≤ y ≤ 7
b)
-2 ≤ y ≤ 4
c)
.2 ≤ y ≤ 4
d)
All real numbers
97.

What is the minimum of the blue function?

a)

y = -2

b)

y = 1

c)

y = -4

d)

y = 0

98.

What is the minimum of the red function?

a)

y = -1.75

b)

y = 1

c)

y = 1.5

d)

y = 0

99.

Which coordinate would qualify as the *absolute maximum* of this function?

a)

b)

(0, 4)

c)

3

d)

(4, 0)

100.

Which coordinate point describes the location of the absolute minimum point of this function?

a)

(-2, -1)

b)

(0, -1)

c)

(-1, -2)

d)

(-5, 3)

101.

A pizza parlor calculates the cost of a pizza using the equation

C = 0.75t+10C\ =\ 0.75t+10  
where C is the cost and t is the number of toppings. 
If Rashawn wants pepperoni, mushrooms, and onions on his pizza, what will it cost? 

a)

$12.25

b)

$10.75

c)

$30.75

d)

$13.50

102.

A pizza parlor calculates the cost of a pizza using the equation

C = 0.75t+10C\ =\ 0.75t+10  
where C is the cost and t is the number of toppings. 
Tina only has $12. How many toppings can she get? 

a)

2 toppings

b)

1 topping

c)

4 toppings

d)

3 toppings

103.

Izzy works at a shoe store where she makes $40 per shift plus $10 for each pair of shoes she sells. 

T= 10x+40T=\ 10x+40
T is Izzy's total income, and is the number of pairs she sells. 
If Izzy sells 3 pairs of shoes, what will her income be? 

a)

$70

b)

$50

c)

$120

d)

$130

104.

Izzy works at a shoe store where she makes $40 per shift plus $10 for each pair of shoes she sells. 

T= 10x+40T=\ 10x+40
T is Izzy's total income, and is the number of pairs she sells. 
If Izzy wants to make $100 for her shift, how many pairs of shoes does she need to sell?

a)

6 pairs

b)

5 pairs

c)

10 pairs

d)

2 pairs

105.

Sarah tracked the value of her car in this graph.

What does the point (2005, 14500) represent?

a)

In 2005, her car was worth $14,500.

b)

Her car was worth $2,005.

c)

She bought the car for $14,500.

d)

Her car lost $2,005 in value from $14,500.

106.

The temperatures in NYC were tracked in this graph.

What does the point (3, 50) represent?

a)

On the third day, it was 50 degrees F.

b)

It was only 3 degrees F on day 50.

c)

The temperature rose 3 degrees on day 50.

d)

None of these.

107.

Russel's height is tracked in this graph. What does the point (12, 3) represent?

a)

Russel was 3 feet tall when he was 12 years old.

b)

Russel grew 3 inches when he was 12 years old.

c)

Russel grew 12 inches when he was 3 years old.

d)

Russel grew 12 inches over 3 years.

108.

Suppose you tracked how many facts you got right in class with this graph.

What does the point (2, 4) represent?

a)

On day 2, you got 4 facts correct.

b)

You got 2 facts correct on day 4.

c)

You got a total of 6 facts correct.

d)

On day 3, you got 12 facts correct.

109.

The height of water in a bucket can be tracked with the equation

y=2x+5y=2x+5  
where y is the height of the water in cm and x is the number of seconds that have gone by. What does the point (4, 13) represent? 

a)

After 4 seconds, the water height is 13 cm. 

b)

After 13 seconds, the water height is 4 cm. 

c)

The water height is between 4 and 13 cm. 

d)

This point would not exist on the graph. 

110.

The distance a car travels can be modeled by the equation

y=50xy=50x  
where y is the miles traveled and x is the number of hours that have gone by. What does the point (0, 0) represent? 

a)

The starting point of the car. 

b)

Where the car ends after time is up. 

c)

The car travels 50 miles total. 

d)

This point would not exist on the graph.