Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation 2y + 7 = 11?

Back

Subtract 7 from both sides to isolate the term with the variable: 2y = 4.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone.

Front

What is the solution to the equation 2y + 7 = 11?

Back

y = 2.

Front

What is the combined like terms in the equation 4x + 5x = 27?

Back

4x + 5x combines to 9x.

Front

How do you solve for x in the equation 4x + 5x = 27?

Back

First combine like terms to get 9x = 27, then divide both sides by 9 to find x = 3.

Front

What is the solution to the equation 6k = 30?

Back

k = 5.

Front

What is the first step to solve the equation x + 8 = -3?

Back

Subtract 8 from both sides to isolate x: x = -3 - 8.

Front

What is the solution to the equation x + 8 = -3?

Back

x = -11.