Solving Equations

Front

What is the formula for the amount of water left in a tub that starts with 40 gallons and drains at a rate of 6 gallons per minute?

Back

y = -6x + 40

Front

Solve the equation: 2x - 3 + 4x = 27

Back

x = 5

Front

Solve the equation: 4x + 3 = -5

Back

x = -2

Front

Solve the equation: -8 + 5x - 2 = 20

Back

x = 6

Front

Solve the equation: 7x - 3x - 8 = 24

Back

x = 8

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to get 3x = 15.

Front

What is the solution to the equation x/4 = 3?

Back

x = 12.

Front

What is the principle of balancing equations?

Back

The principle states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.