Solving One and Two Equations

Q1. What is the result of the following operation?

• -10

• 50

• -70

• 10

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 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

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?

• Subtract 90 from both sides

• Add 12 on both sides

• Subtract 12 on both sides

• Divide both sides by -12

What is the FIRST step in solving the following equation?

• 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

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

9 + g = 12

• g = 3

• g = 21

• g = -3

• g = 4/3

k - 17 = -21

• k = -38

• k = 4

• k = -4

• k = 38