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Worksheets

Expressions, Equations, Inequalities

Total questions: 50

Worksheet time: 2hrs 5mins

Name
Class
Date
1.
the difference if 3 times a number and 7
a)
3 - 7n
b)
3n - 7
c)
3n + 7 
d)
3 / 7n
2.
a number more than 12
a)
n + 12
b)
12n 
c)
12 + n 
d)
12 - n 
3.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

4.
5 less than the product of 7 and s
a)
7s - 5
b)
5 - 7 + s
c)
7(s - 5) 
d)
5 - 7s
5.
Evaluate the expression:
12r when r =4
a)
124
b)
8
c)
48
d)
16
6.
Translate the sentence into an equation:
Four more than six times a number is 18.
a)
10x = 18
b)
4x + 6 = 18
c)
4 + 6x = 18
d)
not enough info
7.
4x = 16
a)
Expression
b)
Equation
c)
Inequality
8.
a)

-25

b)

-10

c)

5

d)

25

9.
What is the definition of a coefficient?
a)
The number in front of a variable.
b)
The number used to raise to a power.
c)
The letter used to represent a quantity.
10.
What is the definition of a constant?
a)
A number without a variable.
b)
A letter used to represent a number.
c)
The number in front of a variable.
d)
The number used to raise to a power
11.
What is the definition of a variable?
a)
The letter used to represent a quantity
b)
The little number or letter used to raise to a power
c)
The number in front of a variable
d)
The number with no variable
12.
Term for combining like terms.
a)
Simplifying
b)
Factoring
13.
What do we call a number sentence that has an equal sign?
a)
expression
b)
solution
c)
equation
d)
constant
14.
What are between subtraction and addition signs in an expression?
a)
terms
b)
simplifying
c)
equation
d)
expression
15.

In 8r - 3 , the COEFFICIENT is ___

a)

8

b)

r

c)

-

d)

3

16.

In 8r + 3 , the CONSTANT is ___

a)

8

b)

r

c)

+

d)

3

17.
Write an equation for the model above.
a)
x + 3 = -9
b)
x - 3 = 9
c)
3x + 1 = 9
d)
3x - 1 = 9
18.

Chase gets paid $8 per hour for his job at the record store. He made a total of $96 last week. Which equation is used to determine h, the hours Chase worked last week?

a)

96h = 8

b)

h/96 = 8

c)

8h = 96

d)

h/8 = 96

19.

Brianna bought a dolphin poster for $12. She now has $5. Which equation can be used to determine m, the original amount of money Brianna had?

a)

m - 12 = 5

b)

m - 5 = 12

c)

m + 5 = 12

d)

m + 12 = 5

20.

Which choice models this situation?


At IGNITE Middle School, there are 8 art classes with 24 students in each class. Which equation is used to determine s, the total number of students enrolled in art class at IGNITE Middle School?

a)

s - 8 = 24

b)

s + 8 = 24

c)

8s = 24

d)

s/8 = 24

21.

Which equation is best represented by this model?

a)

7x=21

b)

x + 7 = 21

c)

x ÷\div 7 = 21

d)

Not Here

22.

Which equation is best represented by the model?

a)

6x =12

b)

x ÷\div 6 = 12

c)

x \div 12 = 6

d)

12x = 6

23.

What value of x makes this equation true? 22 + x = -42

a)

64

b)

-64

c)

20

d)

-20

24.

What value of x makes this equation true? -15x = -255

a)

17

b)

-17

c)

-240

d)

-270

25.

What value of n makes this equation true? n - 30 = 32

a)

-62

b)

2

c)

not here

d)

62

26.

Which value of x makes this equation true?

a)

20

b)

not here

c)

10

d)

3

27.
What would be the best first step to solving the equation in one step?
a)
multiply both sides by 3/2 
b)
divide both sides by 3
c)
multiply both sides by 3
d)
subtract 2/3  from both sides
28.
The scale represents a(n) _____  equation.
a)
Unequal
b)
Positive
c)
Negative
d)
Balanced
29.

What are the two basic rules for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

30.

When multiplying or dividing, what happens when you have two negative signs?

a)

Your answer will be positive

b)

Your answer will be negative

31.

When multiplying or dividing, what happens when you have one negative sign?

a)

Your answer will be positive

b)

Your answer will be negative

32.

 Solve:15b = 5Solve:\frac{1}{5}b\ =\ 5  

a)

-25

b)

1

c)

25

d)

-1

33.
Solve the equation. Check your solution.
a)
80
b)
45
c)
180
d)
5
34.
Solve the equation. Check your solution.
a)
72
b)
.5
c)
1/2
d)
2
35.

Solve:

-6 =  23r\frac{2}{3}r  

a)

-4

b)

-9

c)

9

d)

4

36.

What is the reciprocal of  35\frac{3}{5}  ?

a)

 −35-\frac{3}{5}  

b)

15

c)

0.6

d)

 53\frac{5}{3}  

37.
Choose the vocabulary term that best describes the algebraic form:
-3x < 24
a)
Equation
b)
Inequality
c)
Variable Expression
d)
Numerical Expression
38.

Solve the inequality:

x + 7 < 9

a)

x < 2

b)

x < 16

39.
Write an inequality for the following statement.
n is less than 9
a)
n < 9
b)
n > 9
c)
n ≤ 9
d)
n ≥ 9
40.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
41.

What inequality does the number line graph represent?

a)

x≥ 3

b)

x > 3

42.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

43.
a)

A

b)

B

c)

C

d)

D

44.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
45.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
46.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
47.
Which graph matches the inequality 
2.5 ≤ x?
a)
A
b)
B
c)
C
d)
D
48.
-4 + y < -8
a)
y < 4
b)
y < -12
c)
y < -4
d)
y < 12
49.
Does the given value make the inequality true?  x + 9 > 21, when x = 15
a)
True
b)
Not True
50.
What are two solutions to x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1

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