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Worksheets

SC Ready Review--Algebra

Total questions: 133

Worksheet time: 9hrs 5mins

Name
Class
Date
1.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
2.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
3.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
4.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
5.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
6.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
7.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
8.
5 less than a number is 15.
a)
x - 5 = 15
b)
5 - x = 15
c)
15 - x = 5
9.
Twice a number is 24.
a)
2n = 24
b)
2/n = 24
c)
2 + n = 24
d)
2 - n = 24
10.
What does "difference" mean?
a)
add
b)
subtract 
c)
multiply
d)
divide
11.
Solve the following equation 
8 = m - 12
a)
4
b)
0.5
c)
5.0
d)
20
12.
Solve the following equation
18 = 3b
a)
15
b)
6
c)
21
d)
54
13.
Solve the following equation
c / 4 = 4
a)
1/4
b)
8
c)
1
d)
16
14.

Match the following

a)

x=2

1.

3x=6

b)

x=5

2.

x+5=10

c)

x=12

3.

x/3=4

d)

x=4

4.

x-1=3

e)

x=9

5.

2x=18

15.

x/3 = 9

a)

3

b)

36

c)

4

d)

27

16.

w - 3.4 = 5.5

a)

2.1

b)

8.1

c)

8.9

d)

2,9

17.

What is this symbol?

a)

less than

b)

greater than

c)

less than or equal to

d)

greater than or equal to

18.
What symbol could go in the box to make a true statement?
9 ___  -9
a)
>
b)
<
c)
d)
19.
Which of these means that x is greater than or equal to 12
a)
x ≥ 12
b)
x  > 12
c)
x ≠ 12
d)
x ≥ 15
20.

Write in word the following inequality x + 1 > 10

(a)  

21.

Which set (s) of numbers make the inequality a - 5 < 6

a)

{ 8,9,10}

b)

{11,12,13}

c)

{5,6,7}

22.

Which inequality represents the graph?

a)

X < 4

b)

X undefined4

c)

X > 4

d)

X \ge 4

23.

Pick the correct letter for:

x < 6

a)

A

b)

B

c)

C

d)

D

24.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

25.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

26.

Match the inequality statement with its symbol.

a)

>>  

1.

greater than

b)

\le  

2.

no more than

c)

\ge  

3.

at least

d)

<<   

4.

less than

27.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
28.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
29.

What does an open circle mean?

a)

The number is opened.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a shape, all points are equidistant from the center of the circle.

30.

What does a closed circle mean?

a)

It means it is dark.

b)

The number is part of the solution.

c)

The number is NOT part of the solution.

d)

It's just a circle, all points are equidistant from the center of the circle.

31.

Which inequality represents the graph?

a)

X > 3

b)

X \ge 3

c)

X < 3

d)

X \le 3

32.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

33.

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.

34.

Which inequality matches the graph?

a)

x>-2

b)

x<-2

c)

x>-2

d)

x<-2

35.

Mr. Gomez gets a notice from the bank when the amount in his checking account drops below $20. Which represents an amount that will require the bank to send a notice?

a)

$18

b)

$19

c)

$20

d)

$21

e)

$22

36.

You must spend at least $10 at the grocery store to get a free reusable shopping bag. Which inequality represents the amount you need to spend to get a free shopping bag?

a)

x<10

b)

x>10

c)

x>10

d)

x<10

37.

Antavius must score at least 4 more points in the game this weekend than he did in the last game to be the top scorer for his team. In the last game he scored 13 points. Which inequality represents what Antavius must score, s, to be the team's top scorer?

a)

s>4

b)

s>13

c)

s>17

38.

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.

t = the total number of treats

s = the number of students

Which of the variables is independent?

a)

s

b)

t

39.

In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.

r = the length of the reception

m = the total amount of money Josie's quartet earns

Which of the variables is independent?

a)

r

b)

m

40.

In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.

h = the number of hours Dalton babysits

m = the total amount of money Dalton earns

Which of the variables is dependent?

a)

h

b)

m

41.

Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works.

What is the independent variable?

a)

the number of websites she makes

b)

the number of weeks

c)

the design of the website

d)

there isn't one

42.

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

a)

money

b)

hours

43.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
44.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
45.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
46.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
47.

In the table, Bubbles is the ______________.

a)

independent variable

b)

dependent variable

48.

Which of the following is the label for the independent variable.

a)

Money Collected

b)

Raising Money

c)

Boxes Sold

d)

None of the above

49.

Which of the following equations match the table.

a)

x = 2y

b)

y = 2x

c)

y = x + 5

d)

x = y

50.
Independent means
a)
an amount that can stand on its own
b)
an amount that depends on another amount
51.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
52.
Which label best describes the independent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
53.
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
54.

On a graph, which axis typically shows the independent variable?

a)

x-axis

b)

y-axis

c)

neither

55.

On a graph, which axis typically shows the dependent variable?

a)

x-axis

b)

y-axis

c)

neither

56.

What is the algebraic equation for this table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

57.

The input in a function is also known as what?

a)

Independent Variable

b)

Dependent Variable

c)

Additive Relationship

58.

The output in a function is also known as the:

a)

independent variable

b)

magma or molten rock

c)

dependent variable

d)

function rule

59.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

60.

Select the rule/equation that best represent the table.

a)

y = 2x + 3

b)

y = x + 6

c)

y = -3x + 4

d)

y = 3x

61.

Which operation is represented by 2x?

a)

addition

b)

subtraction

c)

multiplication

d)

division

62.

What is a variable?

a)

a term that includes a variable

b)

a letter that stands for an unknown number

c)

a term that is a known number without variables

63.

What do you call the result of multiplication?

a)

sum

b)

difference

c)

product

d)

quotient

64.

Write an expression with the same meaning as "7 less than the square of a number."

a)

7x37-x^3

b)

x37x^3-7

c)

x27x^2-7

d)

7x27-x^2

65.

Martina is 3 inches less than twice as tall as her little brother. Write an expression for Martina's height.

a)

3x-28

b)

3-2x

c)

2x-3

d)

3x-2

66.

Translate: seven less than twice a number

a)

72x7-2x  

b)

2x72x-7  

c)

x27x^2-7  

d)

7x27-x^2  

67.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
68.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
69.

What is the COEFFICIENT?

4x + 5

a)

x

b)

4

c)

5

d)

9

70.
Write the phrase as an expression. "10 less than a number n"
a)
10-n
b)
n-10
c)
n+10
d)
10-n
71.
b2 + 4
when b = 3
a)
10
b)
12
c)
13
d)
11
72.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
73.

How many terms are in this expression?
5x + xy - 8 + 4y - x

a)

3

b)

4

c)

5

d)

6

74.

If x=3, y=5, and z=10,

evaluate the expression:

xyz

a)

18

b)

53

c)

85

d)

150

75.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
76.
a- b2
Evaluate if a=4 and b =2
a)
4
b)
20
c)
-4
d)
12
77.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
78.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
79.
3x + 8   if x = 2
a)
13
b)
14
c)
15
d)
16
80.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
81.
What are the coefficients in the expression?
4 + 16v
a)
4, 16v
b)
4
c)
16
d)
+16
82.
What are the constants in the expression?
4 + 16v
a)
4, 16v
b)
4
c)
16
d)
+16
83.
Which of the following answer choices is NOT an example of a variable?
a)
8
b)
x
c)
u
d)
n
84.
Translate this phrase into an algebraic expression.
24 more than Victoria's test score. 
Use d to represent Victoria's test score.
a)
24x
b)
x - 24
c)
x + 24
d)
x/24
85.
Twenty decreased by x
a)
20+x
b)
20/x
c)
x-20
d)
20-x
86.
Evaluate the expression using the values
 m = 7, r = 8, and t = 2.
4m + t
a)
30
b)
28
c)
26
d)
14
87.
Evaluate the expression using the values m = 7, r = 8, and t = 2.
r/t
a)
8
b)
6
c)
4
d)
7
88.

Evaluate m² if m = 5

a)

10

b)

25

89.

Correctly order the Order of Operations

a)

Paraenthesis

b)

Exponents

c)

Multiply/Divide

d)

Add/Subtract

1)
2)
3)
4)
90.
2 + (9- 4)
a)
16
b)
77
c)
79
91.
12 ÷ 3 x 4
What do you do first?
a)
3x4
b)
12÷4
c)
12÷3
92.
7 less than a number d
a)
7 - d
b)
d - 7
93.

What is the value of the expression 32+523\cdot2+5^2  ?

(a)  

94.

Stays the same. In the expression 4x+3, the number 3 is the ______.

a)

variable

b)

constant

c)

coefficient

d)

substitute

95.

What is the solution to the expression (2+8)÷(42)+5\left(2+8\right)\div\left(4-2\right)+5  ?

a)

10

b)

7

c)

107\frac{10}{7}  

d)

20

96.

True or false:

Addition ALWAYS comes before subtraction in PEMDAS.

a)

True

b)

False

97.

What is the first operation in solving this numerical expression?

((14 +4 ) x 6 ) - 4 + 3

a)

-4+3

b)

14*6

c)

4*6

d)

14+4

98.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
99.
What is 62?
a)
8
b)
36
c)
4
d)
12
100.
5 x (7 -2) + (8+1)
a)
70
b)
77
c)
42
d)
34
101.
6+(42-1)
a)
21
b)
13
c)
99
d)
22
102.

Choose the property shown.

a)

commutative

b)

associative

c)

distributive

103.

Choose the property shown.

a)

commutative

b)

associative

c)

distributive

104.

What property is shown?

a)

commutative

b)

associative

c)

distributive

105.

What is the missing number?

a)

9

b)

4

c)

36

106.

What is the missing number?

a)

25

b)

20

c)

9

d)

5

107.
2(4 + 9w) 
a)
8+9w
b)
2+9
c)
8+18w
d)
2+9w
108.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
109.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
110.
2f + f
a)
3f
b)
2f
c)
f
111.
Which property is represented?
44 + 99 = 99 + 44
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
112.
Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2
a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
113.

Are these two expressions equivalent?
(2+3)+6 = 2+(3+6) 

a)
Yes, because of the associative property
b)
Yes, because of the commutative property
c)
Yes, because of the distributive property
d)
No, these two expressions are not equivalent
114.

Which is an example of Distributive Property

a)

(3+4)+10

b)

5(9c + 8)

c)

12x2=2x12

d)

34+0=34

115.

What two words help us remember the Commutative Property?

a)

Change Order

b)

Change Options

c)

Commute Often

d)

Commute Order

116.
What property allows this statement to be true? 
(A + B) + C = A + ( B + C)
a)
Associative
b)
Commutative
c)
Distributive
d)
Identity
117.
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
118.
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
119.
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
120.

(30 + 20) + 60 = 30 + (20 + 60)

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

121.

Which is the INCORRECT way to write an equation

a)

y = 2x

b)

y = 1 + x

c)

y = x - 1/2

d)

x = 3y

122.

A farmer has b bags of potatoes. Each bag of potatoes weighs 50 pounds. Which equation can be used to find t, the total weight of the potatoes in pounds?

a)

t = 50b

b)

t = b + 50

c)

t = b - 50

d)

t = 50 - b

123.

Which relationship correctly shows the relationship between the number of girls and the number of boys in each of Ms. Smith's classes?

a)

b = g + 5

b)

b = g - 5

c)

b = g + 2

d)

b = g - 2

124.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
125.

Which equation represents the relationship?

a)

y = x + 3

b)

x = y + 3

c)

y = 4x

d)

x = (1/4)y

126.
What is the INDEPENDENT variable?
a)
distance
b)
25
c)
time
d)
there isn't one
127.
What is the DEPENDENT variable?
a)
total cost
b)
weight
c)
0.3
d)
there isn't one
128.
What is the rule?
a)
Multiply by 2
b)
Multiply by 3
c)
Add 3
d)
Add 4
129.

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

a)

True

b)

False

130.

Translate to an algebraic expression.

35 decreased by a number

a)

35 + n

b)

35 - n

c)

n - 35

d)

n + 35

131.

Translate to an algebraic expression.

5 times a number decreased by 17

a)

17 - 5n

b)

5n - 17

c)

5n + 17

d)

17 + 5n

132.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
133.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12