Solving Linear Equations Review

Front

Equations with variables on both sides are best solved using...

Back

Inverse Operations

Front

x + 5 = 3x - 1: What step can be performed first?

Back

Subtract 5 from both sides of the equals sign

Front

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

Back

2 hours

Front

Which equation is represented by the algebra tiles in the picture shown? Options: -4x + 7 = 2x - 5, 7 + 4x = 2x + 5, 4x + 7 = -2x + 5, -4x - 7 = 2x + 5

Back

4x + 7 = -2x + 5

Front

How do you get rid of a fraction when solving an equation?

Back

Multiply both sides of the equation by the least common denominator.

Front

Back

Front

Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month. The equation that represents this scenario is 60 + 50.45x = 57.95x. Is this equation true or false?

Back

True

Front

Distribute and simplify: -3(2 - 4w) + (-11w)

Back

w - 6

Front

Simplify: - (4 - x)

Back

-4 + x

Front

Simplify and tell whether the equation has one, zero or infinite solutions: 2(3x - 6) = -12 + 6x

Back

0 = 0; Infinite Solutions