Solving Linear Equations

Front

Solve the equation: -5x = 25

Back

x = -5

Front

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Back

x = -2

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

What is the first step in solving this equation: 5x + 7 = 12?

Back

Subtract 7

Front

Solve for x: 6(2x + 1) = 18

Back

x = 1

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation to get the variable on one side and the constants on the other.

Front

What is the solution to a linear equation?

Back

The value of the variable that makes the equation true.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the purpose of combining like terms?

Back

To simplify an expression or equation by merging terms that have the same variable raised to the same power.