1A Solving Equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

What is the first step in solving the equation 5x - 14 = 8x + 4?

Back

Subtract 5x from both sides to begin isolating the variable.

Front

What does it mean to 'distribute' in an equation?

Back

To multiply each term inside parentheses by the term outside the parentheses.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the cost equation for the Somerset County Fair?

Back

Cost = 15 + 2.5r, where r is the number of rides.

Front

What is the cost equation for the Hunterdon County Fair?

Back

Cost = 10 + 3r, where r is the number of rides.

Front

How do you find when two cost equations are equal?

Back

Set the two equations equal to each other and solve for the variable.

Front

Solve for r when the Somerset and Hunterdon County Fair costs are equal: 15 + 2.5r = 10 + 3r

Back

r = 10 rides.

Front

What is the first step to solve -3(x - 2) = -8 + 9b?

Back

Distribute -3 to both x and -2.