Solving equations with variables on both sides

Front

What is the first step in solving an equation with variables on both sides?

Back

Move all variable terms to one side of the equation and constant terms to the other side.

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 alone on one side of the equation.

Front

Solve the equation: -15v - 40 = 23 - 8v

Back

v = -9

Front

Solve the equation: -5x + 7 = -3x - 9

Back

x = 8

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you add, subtract, multiply, or divide both sides of an equation by the same number, the two sides remain equal.

Front

Solve the equation: 4k + 24 = 6k - 10

Back

k = 17

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

Solve the equation: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is the goal when solving an equation?

Back

The goal is to find the value of the variable that makes the equation true.

Front

Solve the equation: 14x + 16 = 13x - 42

Back

x = -58