Equations

Distribute -3(-2x - 8)

• -5x + 24

• 6x - 8

• 6x + 24

• -6x + 24

Distribute and combine: 4(-3x + 5) - 10

• -7x + 5

• -12x + 10

• -12x - 10

• 12x + 30

Combine like terms: 8x - 9 - 11x - 3 + 4

• 3x - 8

• -3x + 8

• 3x + 8

• -3x - 8

Given - 4x - 7 = - 2x + 5; the next step should be

• zero out +5

• cancel out - 4x

• zero out - 2x

• zero out - 4x

Your equation looks like: - 2c - 5 = - 2c - 5; this means

• you still have two more steps to solve

• infinite solutions

• no solutions

• not enough information

Distribute and combine: -2(5x - 4) - x = 6 - (3x + 2)

• -11x + 8 = - 3x + 4

• -11x + 8 = - 18x + 12

• 10x + 8 = - 3x - 4

• 10x + 8 = - 3x + 12

Given - 8c + 3 = - 5c + 21; the next best step would be

• subtract 3 from each side

• subtract 21 from each side

• add 5c to each side

• add 8c to each side

Working a problem, you get 6c - 7 = 9 + 6c.... this means

• Infinite solutions

• No solution

• The answer will be one number

• Not enough information to know

When solving an equation, the best order for the steps are:

• Dist. Prop., zero out variable, combine, zero out, cancel out

• Dist. Prop., combine, zero out variable, cancel out, zero out

• Dist. Prop., combine, zero out variable, zero out, cancel out

• Dist. Prop., zero out variable, zero out, combine, cancel out

Given - 4x + 8 = 2x - 16; you know

• there is no solution

• there are infinite solutions

• there is one solution

• you don't have enough information to know