Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

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 on one side.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

What is the process to solve the equation 4 = 2r - 10?

Back

Add 10 to both sides to get 14 = 2r, then divide by 2 to find r = 7.

Front

How do you solve for y in the equation -5 - 7y = -20y + 34?

Back

Add 20y to both sides and then add 5 to both sides to get 13y = 39, then divide by 13 to find y = 3.

Front

What is the solution to the equation k/4 + 3 = 14?

Back

Subtract 3 from both sides to get k/4 = 11, then multiply by 4 to find k = 44.

Front

How do you solve the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to get 2x - 3 = 36, then add 3 to both sides and divide by 2 to find x = 19.5.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.