Solving One and Two-Step Equations

The goal of solving linear equations is to: (Pick 2)

• Move the constant

• Find the value of the variable that makes the statement true

• Find the coefficient

• Combine like terms

• Isolate the variable

What do you call the number being multiplied by the variable (the number in front of a variable)?

• Constant

• Coefficient

• Variable

• Equation

• Expression

What is the difference between an equation and an expression?

• Algebraic expressions DO NOT have variables, but equations do

• Algebraic expressions DO NOT have an equal sign and equations do

• Expressions and equations are not different, they mean the same thing

• Algebraic expressions HAVE an equal sign and equations do not

What are the TWO basic rules for solving algebraic equations? (That means pick 2 answers)

• What you do on one side you must do to the other (keep balanced)

• Negative signs can be ignored

• Always use the opposite/inverse operations to solve

• You must start on the left side of the equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What would be the inverse operation for the problem below?

-8p = 24

• Add 8 to both sides

• Subtract 24 from both sides

• Divide both sides by -8

• Divide both sides by 8

What would be the first step to solving the following equation?

-12 + j = 90

• Subtract 90 from both sides

• Add 12 on both sides

• Subtract 12 on both sides

• Divide both sides by -12

Tags

CCSS.6.EE.B.7

What would be the SECOND step in solving the equation below?

 $\frac{x}{5}+7\ =-12$  

• Subtract 7 from both sides

• Add 12 to both sides

• Multiply by 5 on both sides

• Divide by 5 on both sides

What is the FIRST step in solving the following equation?

-15 = -10 + 5w

• Subtract 5 from both sides

• add 10 to both sides

• subtract 10 from both sides

• add 15 to both sides

• Divide by 5 on both sides

What are the steps to solving 5y - 6 = 24?

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

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

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

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

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

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

In the equation -4p = 20, the variable, p, is being multiplied by -4. What step would you take to isolate the variable?

• Add 4 to both sides

• Divide by 4 on both sides

• Divide by -4 on both sides

• Subtract 20 on both sides