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Worksheets

Algebra 1 Academic CCA Review 2021

Total questions: 124

Worksheet time: 5hrs 44mins

Name
Class
Date
1.
9(11) - (4)(7)
a)
71
b)
665
c)
52
d)
237
2.
(7-4)2 + (20-19) - 10
a)
-3
b)
57
c)
0
d)
1
3.
34 + [ 16 - (8-3)]
a)
 34
b)
29 
c)
45
d)
28
4.

What is the value fo (-8)2?

a)

-64

b)

-16

c)

64

d)

16

5.

What is the value of -43?

a)

64

b)

-64

c)

12

d)

-12

6.

Evaluate:

 8÷22+438\div2^2+4^3  


a)

8/68

b)

8.5

c)

66

d)

80

7.

Evaluate the expression

a)

-45

b)

51

c)

27

d)

-21

8.

Evaluate the expression

a)

13

b)

17

c)

37

d)

6

9.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
10.
Which number is rational below?
a)
√20
b)
√64
c)
d)
√7
11.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
12.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

13.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

14.
√4
a)
irrational
b)
rational
15.
√7
a)
Rational 
b)
Irrational
c)
real
d)
fake
16.
Whole numbers are natural numbers together with "zero."
a)
True
b)
False
17.

A natural number is a whole number

a)

Always

b)

Sometimes

c)

Never

18.

Which of the following are Natural numbers?

a)

4,3

b)

3

c)

-20

d)

71

19.

Whole numbers include fractions and decimals.

a)

true

b)

false

20.

Which one of the following is not a whole number?

a)

5

b)

-3

c)

1/2

d)

10

21.

Which of the following correctly describes the set {... , -5, -4, -3, -2, -1}

a)

The set of all whole numbers.

b)

The set of negative integers.

c)

The set of positive integers.

d)

The set of non-negative integers.

22.
What number is an integer but not a whole number?
a)
8
b)
-17
c)
0
d)
0.5
23.

Select all that are true. Zero is a ___________.

a)

whole number

b)

natural number

c)

integer

24.

The set of numbers {-3, -2, -1, 0, 1, 2, 3} are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

25.

True or False: -10 is a whole number

a)

True

b)

False

26.

Select all that apply. 120 is a _________.

a)

whole number

b)

integer

c)

natural number

27.

True or False: -43 is an integer

a)

True

b)

False

28.

Where would you place 0?

a)

In none of these circles

b)

In the integer circle because it's an integer only

c)

In the natural circle because it is a natural number, whole number, and an integer

d)

In the whole numbers circle because it is a whole number and an integer

29.

Select all that apply. 12 is a ______ .

a)

whole number

b)

natural number

c)

integer

30.

Select all that apply. -14 could NOT be which type of number?

a)

integer

b)

whole number

c)

natural number

31.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
32.
Solve for b
2b = -16
a)
8
b)
4
c)
-8
d)
3
33.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
34.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
35.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
36.
Write the expression.
Twelve fewer questions than were on the first test. 
a)
12 + q
b)
q - 12
c)
q x 12
d)
q ÷ 12
37.
Write the expression. 
Twelve times the number of feet.
a)
f + 12
b)
f - 12
c)
12f
d)
12 ÷ f
38.

What is the first step in solving the following equation? 3x5=203x-5=20  

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

39.

What is the first step in solving this equation?  x42=8\frac{x-4}{2}=8  

a)

adding 4 to both sides

b)

subtracting 4 from both sides

c)

multiplying both sides by 2

d)

dividing both sides by 2

40.

Solve for x.

 9x7=79x-7=-7  

a)

4

b)

0

c)

5

d)

-1.56

41.

Solve the equation for m.

 15=4m+5-15=-4m+5  

a)

4

b)

7

c)

5

d)

2.5

42.

Solve for x.

 x+93=2\frac{x+9}{3}=-2 

a)

-15

b)

-3

c)

15

d)

-8

43.
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.
44.
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
45.

Solve the equation:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

46.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
47.

Solve the equation:

2x + 1 = 2x - 1

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

48.
The objective when solving an equation is to....
a)
isolate the variable.
b)
check the solution.
c)
guess and check.
d)
Combine Like Terms.
49.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
50.
Solve for x
l 5x l = 40
a)
x = 8 and x =-8
b)
x = 35 and x = -35
c)
Only x = 8
d)
No Solution
51.
True or False: Is x = 4 a solution to |x + 5| = -9
a)
True
b)
False
52.

How many solutions does the equation have?

4|m| = -20

a)

no solution

b)

one solution

c)

two solutions

53.

|x| > 7 Is this an "and" or an "or"?

a)

And

b)

Or

54.

What inequality is shown in the picture?

a)

-8 < x < -2

b)

x > -8 or x < -2

c)

-8 < x > -2

d)

x < -8 or x > -2

55.

Which inequality matches this graph?

a)

x > -1 or x < 2

b)

-1< x > 2

c)

-1 < x < 2

d)

-1 > x < 2

56.

|2x| ≤ 14; Is this an AND or an OR?

a)

AND

b)

OR

57.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
58.
True or false: you flip the sign every time you multiply or divide when you're solving an inequality.
a)
True
b)
False
59.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
60.
a)
A)
b)
B)
c)
C)
d)
D)
61.
Solve and graph.
k - 13 > -51
a)
A
b)
B
c)
C
d)
D
62.
Solve and graph.
8a > -136
a)
A
b)
B
c)
C
d)
D
63.
Solve and graph.
-83 < n - 80 
a)
A
b)
B
c)
C
d)
D
64.

Which inequality does this graph represent?

a)

x>1

b)

x≥1

c)

x>2

d)

x≥2

65.

Which inequality does this graph represent?

a)

x>1

b)

x≥1

c)

x>2

d)

x≥2

66.

Which inequality does this graph represent?

a)

x>1

b)

x≥1

c)

x>2

d)

x≥2

67.

Which inequality does this graph represent?

a)

x<3

b)

x≤3

c)

x<4

d)

x≤4

68.

Which inequality does this graph represent?

a)

x<3

b)

x≤3

c)

x<4

d)

x≤4

69.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
70.

When graphing "AND" inequalites, shading looks like___

a)

Shading that connects the 2 dots.

b)

Shading that always points opposite directions from each dot

c)

2 shaded arrows pointing in same direction (both left)

d)

2 shaded arrows pointing in same direction (both right)

71.

When graphing the solutions to "OR" inequalities, The shading looks like___

a)

Shading that connects the 2 dots

b)

Shading that points opposite directions.

c)

Shading that points toward each other and crosses and continues

d)

Shading that points opposite, but crosses over each other.

72.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
73.

Is this an AND or OR inequality?

-3<x<5

a)

AND

b)

OR

c)

BOTH

d)

NEITHER

74.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

75.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

76.
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
77.
a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

78.
a)

x ≤ 3 and x > -2

b)

x < -2 or x ≥ 3

c)

x > -2 or x < 3

d)

x < 3 and x ≥ -2

79.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
80.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
81.
Which is the solution of 
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
82.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
83.
Does the inequality sign flip?
-12y < -24
a)
Yes
b)
No
84.
Does the inequality sign flip?
2x < 20
a)
Yes
b)
No
85.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
86.
Does this mapping diagram represent a function?
a)
No, because an input value goes to multiple output values
b)
Yes, because each input goes to one and only one output
87.
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.
88.
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)
89.
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)
90.
Which example is not a function? 
a)
Example 1 and 3
b)
Example 2 and 3 
c)
Example 2 
d)
Example 1
91.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
92.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
93.
a)
Function
b)
Not a Function
94.
Is the relation{(<,>),(^,-),(+,=),(&,%)} a function?
a)
yes, since no first element is repeated
b)
yes, because there are 4 ordered pairs
c)
no, because functions must have numbers
d)
no, because the"&" isn't a math symbol
95.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
96.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
97.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
98.
.
a)
Function
b)
Not a Function
99.

Which set of values is not a function?

a)

(9,5) (10,5) (4,-5) (8,-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)

100.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
101.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
102.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
103.
Evaluate f(-2) if f(x) = x2+ 3
a)
-1
b)
1
c)
7
d)
-7
104.
Let w(x) = 3x - 7. If w(x) = 14, find x.
a)
7
b)
35
c)
2.33333
d)
-49
105.
If f(x) = x - 5, what is the value of x when f(x) = 15?
a)
20
b)
10
c)
5
d)
0
106.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

107.

How would you write y = 2x - 3 in function notation?

a)

y = 2x-3

b)

f = 2x - 3

c)

f(x) = 2x-3

108.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

109.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

110.

If  g(x)=43x+79g\left(x\right)=\frac{4}{3}x+\frac{7}{9}  what is the value of  g(3)g\left(3\right)  ?

a)

 g(3)=439g\left(3\right)=\frac{43}{9}  

b)

 g(3)=199g\left(3\right)=\frac{19}{9}  

c)

 g(3)=479g\left(3\right)=\frac{47}{9}  

d)

 g(3)=349g\left(3\right)=\frac{34}{9}  

111.

If  g(x)=7(42x)+5g\left(x\right)=7\left(4-2x\right)+5  
evaluate  g(11)g\left(11\right) .

(a)  

112.

If  h(x)=78(4x19)h\left(x\right)=7-8\left(4x-19\right)  
evaluate  h(6)h\left(6\right)  

(a)  

113.
Research question: does the distance a person kicks a soccer ball effect how well they will do on their math test.  What is the dependent variable?
a)
How far they kick the soccer ball
b)
who the person is
c)
how well they do on the math test
d)
Type of soccer ball.
114.

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.


Which of the variables is independent?

a)

number of students

b)

number of treats

115.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
116.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
117.

Jimmy earned $8 for every pizza he delivers.


m = money (dollars)

p = number of pizzas delivered


The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

118.

Emma gets one sticker for every paper she completes.


s = stickers earned

p = papers completed


The independent variable is:

a)

s = stickers earned

b)

p = papers completed

119.

Ty earns $12 per hour. How much money, m, does he earn on a shift of h hours? Identify the dependent variable.

a)

m: money

b)

h: hours

120.

Asher 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

121.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

122.
The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
123.

Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?

a)

m = 12h

b)

m = 12 + h

c)

h = 12m

d)

h = 12 + m

124.

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

a)

{2, 9, 7, -8}

b)

{11, -3, 21, 6}

c)

-8 < x < 9

d)

-3 < y < 21