Solving Equations

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.

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.

Solve for c.

 $3c+5=23$ 

• c = 3

• c = 6

• c = 7

• c = 18

Solve for x.

 $4x+7=23$ 

• x = 16

• x = 4

• x = 9

• x = 12

 What is the first step to solve this equation:

 $11-3x=44$ 

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Solve for x.

 $-4x+1=21$  

• x = 120

• x = 5

• x = 30

• x = - 5

 $\frac{w}{3}+6=8$  

Solve for w.

• w = 2

• w = 4

• w = 6

• w = 8

When solving an equation, our goal is to:

• bake cookies.
• use a calculator.
• eat lunch.
• find the unknown value.

Tags

CCSS.7.EE.B.4A

Solve for x.

 $2x+6=14$  

• x = 4

• x = 10

• x = - 4

• x = 3

The steps in solving $5b-6=24$  are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5