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WorksheetsOne-step Equations Review
Total questions: 46
Worksheet time: 49mins
x-5=9
(a)
Solve for x. Write answer as x= (NO SPACES)
-19 + x = 74
(a)
Solve for y in the following equation:
y ÷ 3 = 12
36
-36
4
-4
All equations have . . .
an addition sign
three variables
a cute puppy
an equal sign
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?
Subtract 7 from both sides. The solution is x = 5.
Add 7 to both sides.
The solution is x = 19.
Multiply both sides by 7 The solution is x = 84.
An operation that undoes the effect of another operation is
adverse
converse
reverse
inverse
opposite
The inverse operation of addition is multiplication.
True
False
Solve for y:
y - (-10) = -41
-31
31
-51
51
What is the inverse operation of division?
division
addition
multiplication
subtraction
Solve for x in the following equation:
x + 7 = 12
x = 5
x = 19
x = 4
x = 84
Which equations has w = 8 as the solution? (can be more than one equation)
8w= 64
16w = 240
8 - w = 16
48 ÷ w = 6
Which of the following are basic rules used for solving algebraic equations?
Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign
Negative signs can be ignored
Always start on the left side, regardless of where the variable is
Always do the opposite operation
110 = −11m
m = 99
m = -10
m = 121
m = -1210
Solve for h in the following equation:
0 = 4h
h = 0
g = 1
h = 1
g = 0
Solve for x
9=3xx=12
x=3
x=27
x=−3
Solve for h in the following equation:
0 = 4h
h = 4
h = 1
h = -4
h = 0
Solve the equation
x + 3 = 5
2
-2
8
-8
Solve for y in the following equation:
y - 33 = 147
y = 114
y = 177
y = 180
Answer not Given
m - 4 = 10
-6
6
-14
14
15n= −10
n = -2/3
n = 5
n = -150
n = -25
What is the inverse operation of subtraction?
addition
subtraction
multiplication
division
Which of the following has an equals sign?
Equation
Expression
-3=x+5
add 3 to both sides
subtract 5 from both sides
add 5 to both sides
subtract -5 from both sides
3. What would be the best first step to solving the equation in one step?
−3 y = −9
multiply both sides by 3
add 3 to each side
divide both sides by -3
multiply both sides by -3
k+19=10
k = 190
k = -9
k = 29
k = 10/19
21 = 14 + x
x = 7
x = 35
x = 294
x = 1.5
10
12
11
13
−14 = j − 20
j = -7/10
j = -34
j = 280
j = 6
y − 7 = −5
y = -35
y = 2
y = -12
y = 5/7
Division
Multiplication
Addition
Subtraction
2b = -16
8
4
-8
3
2 n= −6
n = -12
n = -4
n = -3
n = -8
10x=1
9
101
10
11
2w=58
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
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?
h - 5 = 35
h + 5 = 35
5h = 35
h/5 = 35
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?
86+32=x
32+x=86
x−32=86
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?
16−x=28
16+28=x
16+x=28
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 ?
63+37=p
p−37=63
37+p=63
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 ?
51+45=x
51−x=45
x−51=45
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?
m−5.12=27.10
5.12 +27.10 =m
m+5.12=27.10
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.
15L = 130
15 + L = 130
15 - L = 30
L = 130 + 15
Last week, Ms. Benton ran 30 miles more than her friend. Ms. Benton ran 47 miles. How many miles did her friend run ?
30p = 47
30 + p = 47
30 - p = 47
p = 30 + 47
