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WorksheetsSolving Equations Practice
Total questions: 191
Worksheet time: 8hrs 42mins
Write the word sentence as an equation. The quotient of a number c and 14 is 5.
c ÷ 14 = 5
c • 14 = 5
14c = 5
14 - c = 5
You purchase w items for $8 each. The total cost is $64. Write an equation that you can use to find w.
8 ÷ w = 64
8 - w = 64
8w = 64
8 + w = 64
Tell whether c = 3 is a solution of c + 7 = 10.
yes
no
Solve the equation. x + 3 = 19
(a)
Solve the equation. b − 8 = 14
(a)
The perimeter of the square is 25 meters. Write an equation you can use to find the value of z. (m stands for meters.)
4z = 25
4 ÷ z = 25
4 + z = 25
4 - z = 25
The perimeter of the figure is 72 meters. Solve for x. (m stands for meters.) Only put the number for your answer. Don't include the m.
(a)
You spend $44 on a game, receive $30 for painting a fence, and give $5 to your friend. You have $32 left. How much money did you start with?
(a)
Solve the equation. 8 = 54z
z = 2
z = 4
z = 8
z = 10
Solve the equation. 6n = 30
n = 24
n = 5
n = 36
n = 1/5
Tell whether (5, 10) is a solution of y = 6x - 18.
(a)
The equation ℎ = 15݀ represents the height h (in millimeters) that a plant grows after d days. Identify the independent and dependent variables.
independent variable; d
dependent variable; h
independent variable; h
dependent variable; d
Fill in the blank so that the ordered pair is a solution of y = 6x + 7.
( (a) , 25)
You have $16 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the total amount A (in dollars) you have after selling j cups of orange juice.
A = 16 + 50j
A = 16 + 0.5
A = 16 + 0.5j
J = 16 + 0.5a
An endurance athlete jogs at a rate of 9 miles per hour. How many minutes does it take for the athlete to jog 1.2 miles?
(a)
k = ______
y = ________
The sixth grade has $1579 in its class trip fund. The total amount needed for the trip is $7300. Write an equation you can use to find the amount that needs to be raised for the trip.
1579a=7300
a+1579=7300
a=7300 + 1579
x - 3 = 14
c / 10 = 15
Tell whether b=4 is a solution of b+6=11
yes
no
Tell whether z= 65 is a solution of z ÷ 5 = 13
yes
no
The perimeter of a square is 40 inches. Write an equation to find the value of x.
x = 40 ÷ 2
4x = 40
x = 40 - 4
The perimeter of this shape is 15 in. Write an equation to find the value of x.
x = 15 + 11
15 = 11 - x
11 + x = 15
The area of this rectangle is 48. What is the value of x?
x = 16
x = 45
x = 8
The variable, k, is being divided by 11. How should you show your work to isolate the variable?
Divide both sides by 11
Multiply both sides by 11.
Add 11 to both sides.
Subtract 11 to both sides.
-6x=-24
Solve for y in the following equation:
3 y=12
36
-36
4
-4
8y = 48
(a)
What is the first step to solve for b:
2b = -16
add 2 to both sides
subtract 2 to both sides
multiply 2 to both sides
divide 2 to both sides
What is the first step to solving this equation?
add -8 to both sides
subtract -8 to both sides
Multiply -8 to both sides
divide -8 to both sides
15 = m - 5
How should you show your work to isolate the variable and solve the equation?
What is the solution of r - 11 = 5
11
14
15
16
What is the solution of 42 = 7f
294
49
35
6
6k = 30
x - 34 = 76 ... Solve for x. (type only the number)
(a)
x + 34 = 76 ... Solve for x. (type only the number)
(a)
13x = 78 ... Solve for x. (type only the number)
(a)
x / 5 = 35 ... Solve for x. (type only the number)
(a)
Which equation(s) have x = 5 as a solution?
x + 15 = 20
14x = 70
x - 5 = 10
x - 7.3 = 2.3
x + 2.3 = 7.3
x - 8 = 5
13
-13
3
-3
Solve the equation
6w = 24.
w = 144
w = 18
w = 4
What is the opposite operation of addition?
addition
subtraction
multiplication
division
w + 6 = 11
w = -5
w = 17
w = 5
w = -5
What is the opposite operation of multiplication?
addition
subtraction
multiplication
division
What is another word for equivalent.
Check ALL that apply
Opposite
Equal
The Same
Multiply
2y+5=17
y=16
y=1
y=6
y=24
a/12+24=27
a=9
a=36
a=4
a=32
10n-8=32
n=4
n=14
n=41
n=400
x/6-4=96
x=12
x=24
x=600
x=64
Match the sentence with the correct equation:
15 increased by y equals 29
15 -y=29
15+y=29
y/15=29
15y=29
term
coefficient
variable
constant
Which equation matches the picture above?
Key:
Cup= C
Snowflake =1
c = 4
1 + 1 = 8
2 = 8
2C = 8
Which equations matches the picture?
Key:
Birdhouse=B
Cardinal =1
3B + 1 = 6
B + 3 = 6
1 + 3 = 6
6 = 3B + 1
Using the model, write the equation.
6 = 2+x;
6 = -2x;
-6 = 2x;
6 = 2x;
Which equation matches the picture above?
t = 3
t + 4 = 7
1 + 4 = 7
4t + 1 = 7
x + 9 = 21
(a)
(a)
11b + 7 = 40
(a)
3c + 5 = 23
(a)
4x + 7 = 23
(a)
2x + 6 = 14
(a)
6p - 5 =13
(a)
2x - 3 = 1
(a)
3c + 5 = 20
(a)
2m−1=2
(a)
A mathematical sentence stating that two expressions are EQUAL
variable
expression
equation
In math, this basically means opposite
inverse
equation
expression
constant
A letter used to represent a number value in an equation
term
coefficient
variable
A number that does not change (it stands alone without any variable attached)
constant
coefficient
variable
5y = 7 is an example of an ____________
expression
equation
In 8r + 3 , the CONSTANT is ___
8
r
3
In 8r − 3 , the VARIABLE is ___
8
r
-
To solve an equation, the goal is to __________ the variable on one side.
Evaluate
Leviate
Isolate (To get alone)
A letter or symbol that represents an unknown value is called ______________.
Variable
Radicand
Constant
What is the inverse of addition? (+)
Subtraction (−)
Division (÷)
Multiplication (×)
What is the inverse of subtraction? (−)
Addition (+)
Division (÷)
Multiplication (×)
What is the inverse of multiplication? (×)
Addition (+)
Division (÷)
Multiplication (×)
What is the inverse of division? (÷)
Addition (+)
Subtraction (−)
Multiplication (×)
What is the solution in this equation?
What is the variable in this equation?
What is the operator in this equation?
+
r
12
y + 65 = 182
y = 107
y = 117
y = 247
y = 123
4x = 72
x = 18
x = 68
x = 288
x = 62
z - 33 = 234
z = 267
z = 231
z = 317
z = 281
r/6 = 18
r = 12
r = 68
r = 104
r = 108
x + 3.7 = 9.2
x = 12.9
x = 5.5
x = 6.5
x = 7.2
x/2.7 = 18
x = 48.6
x = 58.6
x = 15.3
x = 44.2
x - 82.1 = 3.65
x = 11.86
x = 79.25
x = 91.75
x = 85.75
x + 2/3 = 8/9
x = 1/3
x = 2/9
x = 14/9
x = 5/18
7y = 180.6
y = 25.8
y = 30.2
y = 1264.2
y = 23.8
m + 5.44 = 17
m = 4.86
m = 22.44
m = 13.86
m = 11.56
3a = 197.7
a = 194.7
a = 65.9
a = 57.9
a = 68.2
r/1.5 = 2.4
y = 3.6
y = 2.4
y = 3.9
y = 1.6
m - 18.2 = 5.64
m = 11.7
m = 12.56
m = 23.84
m = 33.8
6a = 468
a = 462
a = 78
a = 74
a = 68
d/23.6 = 9
d = 2.146
d = 14.6
d = 212.4
d = 186.4
What is the solution of 9 + k = 18
18
9
8
7
What is the solution of r - 11 = 5
11
14
15
16
What is the solution of 3w = 30
6
9
10
12
What is the solution of 13 = t + 7
5
6
7
20
What is the solution of a - 5 = 9
14
9
5
4
What is the solution of 10 = t - 8
2
4
18
20
11p = 121
q + 8.25 = 18
150 + y = 879
y + 51 = 99
140
150
48
Answer not Given
Which choice models this situation?
Lisa finished a race in 58 seconds. This was 4 seconds faster than her best practice time. What was Lindsey's best practice time?
t + 4 = 58
t - 4 = 58
4t = 58
t/4 = 58
Which choice models this situation?
At Pierce County Middle School, there are 5 art classes with 24 students in each class. How many students altogether are in the art classes?
s - 5 = 24
s + 5 = 24
5s = 24
s/5 = 24
17 less than h equals 42
What equation is modeled?
2x -6 = 13
x + 6 = 13
6x = 13
x - 6 = 13
What equation is modeled?
2x = -4
2x = 4
2+x = 4
x+2=4
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
Five less than a number is 6
Seven subtracted from n is 18
The quotient of 440 and a number is 220
twice a number is the same as 36
x + 2 = 36
x - 2 = 361
2x = 36
x/2 = 36
x - 8 = 5
a number increased by 8 equals 5
a number and 8 multiplied together to equal 5
The difference of a number and 8 yields to 5.
a number split into 8 groups is the same as 5.
x + 12 = 20
12 times a number is the same as 20.
a number divided into 12 groups equals 20.
The sum of a number and 12 equals 20.
a number decreased by 12 is 20.
4 is the quotient of 16 and a number n.
4 = 16n
4 = 16/n
4 = 16 + n
4 = 16 - n
Your friend writes the word sentence as an equation. Is your friend correct?
Yes
No
A crew is picking up chairs in the gymnasium after an event. After clearing 217 chairs from the gym floor, 36 chairs still remain. Write an equation you can use to find the number of chairs placed on the gym floor for the event.
217n = 36
n - 217 = 36
n + 217 = 36
n/217 = 36
The product of a number and two-thirds is 24.
8 + x = 10
18
2
10
8
4 = 2 + x
6
2
8
4
w - 13.7 = 22.8
36.5
9.1
11.1
42.5
n + 52 = 54
56
52
151
2
16 = m - 14
30
2
20
12
5x = 10
50
2
5
15
6x = 6
36
1
12
0
6 = 3x
2
18
3
9
3v = 18
6
16
15
54
21 = 3x
7
18
24
63
16z=8
128
2
24
100
14a=6.8
2.058
20.8
7.2
95.2
53=32t
109
156
101
151
The sum of a number and 4.5 is 8.2.
Three times the cost is $24.
x - 24 = 58; x = 82
⅓c = ⅜; c = ¾
a + 2.4 = 7.8
b - ¼ = 3 ½
3x = 27
⅓s = ⅕
t ÷ 4 = 16
w ÷ 7 = 0.3
a + 56 = 128 can be used to find the amount a in dollars that Aaron still needs to save. What is the solution of the equation?
The total cost is $7.56. The equation
2.4p = 7.56 can be used to find the price p in dollars of the one gallon of gasoline. What is the price of one gallon of gasoline?
⅔w=¾ can be used to estimate the weight w in pounds of the blueberries when the basket is full. About how much will the blueberries in Crystal's basket weigh when it is full?
⅜d=12 to find the weight of Alyssa's dog.
Which equations matches the picture?
3B + 1 = 6
B + 3 = 6
1 + 3 = 6
6 = 3B + 1
5(3x+1)
