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Solve an Equation for a Given Variable

Authored by Anthony Clark

Mathematics

6th Grade

CCSS covered

Solve an Equation for a Given Variable
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Tags

CCSS.6.EE.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is x=4 a solution to the equation 6 = x+2 ?

Yes

No

Tags

CCSS.6.EE.B.5

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Each nickel is worth $0.05. 

Write an equation for the number of nickels when the total amount of money in nickels is $2.25.

n = 2.25(0.05)

2.25n = 0.05

0.05n = 2.25

Tags

CCSS.HSA.CED.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the given equation.

62.52=27.39+t

Check your solution using substitution.

t = 90.01

t = 89.91

t = 35.13

t = 2.28

Tags

CCSS.6.EE.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for x using inverse operations.


25x = 75

x = 100

x = 4

x = 3

x = 50

Tags

CCSS.6.EE.B.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.

40 + c = 30.98

30.98 + c = 40

c - 40 = 30.98

c - 30.98 = 40

Tags

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write an equation models the following statement:
 17 less than h equals 42

17-h=42

h-17=42

h+17=42

17+h=42

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