Solving Equations

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 4x + 5x, you can combine them to get 9x.

Front

Solve for x: 4x + 5x + 7 – 3x + 5 = –18

Back

x = -5

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Solve for x: x/-2 = 4

Back

x = -8

Front

What is distribution in mathematics?

Back

Distribution is a property that allows you to multiply a single term by each term inside a set of parentheses. For example, a(b + c) = ab + ac.

Front

Solve for x using distribution: –2(x + 5) = 8

Back

x = -9

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

Front

Which equation has x = 2 as a solution? 1) 3 + x = 10 2) 11 + x = 13 3) 4x = 32 4) 5x = 25

Back

11 + x = 13

Front

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

Back

The first step is to get all the variable terms on one side of the equation and the constant terms on the other side.

Front

Solve for x: 3(2x – 5) – 4x = –19

Back

x = -2