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Worksheets

One step equations and modeling

Total questions: 51

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
2.
Solve for b
2b = -16
a)
8
b)
4
c)
-8
d)
3
3.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
4.
x - 8 = -5 
a)
13
b)
-13
c)
3
d)
-3
5.
m+13=21
a)
m=34
b)
m=8
c)
m=273
d)
m=6
6.
Solve for y:
y - 7 = 10
a)
17
b)
-3
c)
3
d)
-17
7.
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
8.
k+8=15
a)
k=23
b)
k=10
c)
k=7
d)
k=11
9.
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
10.
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
11.
Write the expression. 
Twelve times the number of feet.
a)
f + 12
b)
f - 12
c)
12f
d)
12 ÷ f
12.
What equation is modeled here?
a)
x - 6 = 13
b)
x + 6 = 12
c)
x + 6 = 13
d)
x6 = 13
13.
Solve for x.
a)
x = 6
b)
x = 7
c)
x = 13
d)
x = 19
14.
Solve this equation.
a)
x = 4
b)
x = 7
c)
x = 3
d)
x = 11
15.
Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?
a)
3x=24
b)
x/3=24
c)
24x =3
d)
x/24 =3
16.
Solve:
a)
96
b)
-96
c)
4
d)
-4
17.
Solve:
a)
-12
b)
-8
c)
12
d)
8
18.

Which choice models this situation? Marcus needs to sell 25 tickets to a fundraiser by Friday. So far, he has sold 9 tickets. How many tickets does he still need to sell?

a)

t - 9 = 25

b)

t + 9 = 25

c)

9t = 25

d)

t/9 = 25

19.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

20.
y - 4.6 = 12
a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
21.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
22.
Solve the equation
3x = 27. 
a)
x = 24
b)
x = 81
c)
x = 9
23.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

24.

a symbol for an unknown value; usually a letter (such as a, x, or y) is the symbol used

a)

constant

b)

variable

c)

coefficient

d)

term

25.
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
26.
Pairs of operations that undo each other
a)
inverse operations
b)
solution
c)
inequality
27.
To solve an equation, the goal is to __________ the variable on one side.
a)
Evaluate
b)
Leviate
c)
Isolate
d)
Reciprocate
28.
What are inverse operations?
a)
Absolute values
b)
Opposite operations used in isolating a variable
c)
Operations used for only inequalities
d)
Unknown quantity represented by a letter or symbol
29.
r + 20 = 27
a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
30.
What what is the inverse operation of subtraction?
a)
addition
b)
subtraction
c)
multiplication
d)
division
31.
What is the inverse operation of division?
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
32.

-3x = -9

a)

3

b)

-3

c)

9

d)

-1

33.

x - (-2) = 7

a)

-9

b)

-5

c)

5

d)

9

34.

x÷4=4x\div4=4  

a)

4

b)

16

c)

20

d)

1

35.

x5=20\frac{x}{5}=20  

a)

100

b)

120

c)

4

d)

5

36.

Which equations matches the picture?

a)

3B + 1 = 6

b)

B + 3 = 6

c)

1 + 3 = 6

d)

6 = 3B + 1

37.

Which equation matches the picture above?

a)

c = 4

b)

1 + 1 = 8

c)

2 = 8

d)

2C = 8

38.
What equation is modeled?
a)
3 = 6
b)
3x = 6
c)
x = 6
d)
3 = 6x
39.

Write the equation for the model. (white square=1 rectangle=x red square = -1)

a)

7=x+3

b)

7=x+(-3)

c)

7=-x+3

d)

-7=x-3

40.
Which of the following is a mathematical sentence that has an equal sign?
a)
Term
b)
Expression
c)
Coefficient
d)
Equation
41.
This does not contain an equal sign...
a)
Constant
b)
Variable
c)
Equation
d)
Expression
42.
Five times a number plus 4
a)
5xn+4
b)
5/n+4
c)
5n+4
d)
n5+4
43.
The product of 7 and a number is 42
a)
nx7=42
b)
42/7=n
c)
7n=42
d)
7+n=42
44.
$15 more than Pam spent
a)
p-15
b)
p/15
c)
p+15
d)
15+p
45.
Eleven more than Brittany's age is 34
a)
11-B=34
b)
B+11=34
c)
B-11=34
d)
34-11=B
46.
Tammy made a deposit of d dollars in to her back account. Her old balance was $100, and her new balance is $280.
a)
d-100=280
b)
280-d=100
c)
100+d=280
d)
280+d=100
47.
The difference of a number and 9 is 12.
a)
9-n=12
b)
9+n=12
c)
n-9=12
d)
9/n=12
48.
Sarah had 10 cookies then she ate some
a)
10+n
b)
10-n
c)
10/n
d)
10n
49.
Twice a number plus half 
a)
2x + 1/2
b)
2 + x/2 
50.
z - 4
a)
4 inches ahead
b)
4 less than z
c)
4 times as many
d)
one-fourth the size
51.
Beth is 6 years younger than twice her brother's age.  How old is Beth?
a)
6 - 2b
b)
2b - 6
c)
1/2b + 6
d)
b + 6