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One-step Equations Review

Total questions: 46

Worksheet time: 49mins

Name
Class
Date
1.

x-5=9

(a)  

2.

Solve for x. Write answer as x= (NO SPACES)

-19 + x = 74

(a)  

3.

Solve for y in the following equation:

y ÷ 3 = 12

a)

36

b)

-36

c)

4

d)

-4

4.

All equations have . . .

a)

an addition sign

b)

three variables

c)

a cute puppy

d)

an equal sign

5.

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.

6.

An operation that undoes the effect of another operation is

a)

adverse

b)

converse

c)

reverse

d)

inverse

e)

opposite

7.
k+8=15
a)
k=23
b)
k=10
c)
k=7
d)
k=11
8.

The inverse operation of addition is multiplication.

a)

True

b)

False

9.

Solve for y:

y - (-10) = -41

a)

-31

b)

31

c)

-51

d)

51

10.

What is the inverse operation of division?

a)

division

b)

addition

c)

multiplication

d)

subtraction

11.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
12.

Solve for x in the following equation:

x + 7 = 12

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

13.

Which equations has w = 8 as the solution? (can be more than one equation)

a)

8w= 64

b)

16w = 240

c)

8 - w = 16

d)

48 ÷ w = 6

14.

Which of the following are basic rules used 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

15.

110 = 11m110\ =\ -11m  

a)

m = 99

b)

m = -10

c)

m = 121

d)

m = -1210

16.

Solve for h in the following equation:

0 = 4h

a)

h = 0

b)

g = 1

c)

h = 1

d)

g = 0

17.

Solve for x

 9=3x9=3x  

a)

 x=12x=12  

b)

 x=3x=3  

c)

 x=27x=27  

d)

 x=3x=-3  

18.

Solve for h in the following equation:

0 = 4h

a)

h = 4

b)

h = 1

c)

h = -4

d)

h = 0

19.

Solve the equation

x + 3 = 5

a)

2

b)

-2

c)

8

d)

-8

20.

Solve for y in the following equation:

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

21.

m - 4 = 10

a)

-6

b)

6

c)

-14

d)

14

22.

 n15= 10\frac{n}{15}=\ -10  

a)

n = -2/3

b)

n = 5

c)

n = -150

d)

n = -25

23.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

24.

Which of the following has an equals sign?

a)

Equation

b)

Expression

25.
What would be the best first step to solving the equation?
-3=x+5
a)

add 3 to both sides

b)

subtract 5 from both sides

c)

add 5 to both sides

d)

subtract -5 from both sides

26.

3. What would be the best first step to solving the equation in one step?

y3  = 9\frac{y}{-3\ }\ =\ -9  

a)

multiply both sides by 3

b)

add 3 to each side

c)

divide both sides by -3

d)

multiply both sides by -3

27.

k+19=10k+19=10   

a)

k = 190

b)

k = -9

c)

k = 29

d)

k = 10/19

28.

21 = 14 + x21\ =\ 14\ +\ x  

a)

x = 7

b)

x = 35

c)

x = 294

d)

x = 1.5

29.
What is the solution for x + 9 = 21
a)

10

b)

12

c)

11

d)

13

30.

14 = j  20-14\ =\ j\ -\ 20  

a)

j = -7/10

b)

j = -34

c)

j = 280

d)

j = 6

31.

y  7 = 5y\ -\ 7\ =\ -5  

a)

y = -35

b)

y = 2

c)

y = -12

d)

y = 5/7

32.
What is the inverse operation of division?
a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

33.
Solve for b
2b = -16
a)

8

b)

4

c)

-8

d)

3

34.

n2 = 6\frac{n}{2\ }=\ -6  

a)

n = -12

b)

n = -4

c)

n = -3

d)

n = -8

35.

x10=1\frac{x}{10}=1  

a)

9

b)

110\frac{1}{10}  

c)

10

d)

11

36.
Solve the equation:
2w=58
a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
37.
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
38.
Solve for x:
a)
20
b)
7
c)
10
d)
3
39.

Which choice models this situation?


Last week, James worked 35 hours in 5 days on the farm. He worked the same number of hours each day. How many hours did he work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

40.

Write an algebraic equations to represent the situation. Define your variable.


There were 32 students in Jaden’s class eating lunch. Then, more students joined Jaden’s class. Now there are 86 total students eating lunch. How many students joined Jaden’s class?

a)

86+32=x86+32=x

b)

32+x=8632+x=86

c)

x32=86x-32=86

41.

Write an algebraic equation to represent the situation.

There are two first grade classes at a school. There are 16 students in one class. There are 28 total students in first grade. How many students are in the other class?

a)

16x=2816-x=28

b)

16+28=x16+28=x

c)

16+x=2816+x=28

42.

Write an algebraic equation for the following situation.

Nancy had 37 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick ?

a)

63+37=p63+37=p

b)

p37=63p-37=63

c)

37+p=6337+p=63

43.

Write an algebraic equation for the following situation.

Joan found 51 seashells on the beach, she gave Alyssa some of them. She has 45 seashells left. How many seashells did she give to Alyssa ?

a)

51+45=x51+45=x

b)

51x=4551-x=45

c)

x51=45x-51=45

44.

Write an algebraic equation for the following situation


After paying $5.12 for a salad, Nora has $27.10. How much money did he have before buying the salad?

a)

m5.12=27.10m-5.12=27.10

b)

5.12 +27.10 =m5.12\ +27.10\ =m

c)

m+5.12=27.10m+5.12=27.10

45.

Mrs. Fisher is purchasing Lightsabers at the store. She has a total of $130 to buy L lightsabers. Each Lightsaber costs $15. Select the equation that matches this situation.

a)

15L = 130

b)

15 + L = 130

c)

15 - L = 30

d)

L = 130 + 15

46.

Last week, Ms. Benton ran 30 miles more than her friend. Ms. Benton ran 47 miles. How many miles did her friend run ?

a)

30p = 47

b)

30 + p = 47

c)

30 - p = 47

d)

p = 30 + 47