Solve Equations with Variables on Both Sides

Front

What is a variable in mathematics?

Back

A letter that represents a number.

Front

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

Back

x = 1

Front

Solve the equation: 10x + 9 = 4x - 9

Back

x = -3

Front

Write an equation for the following scenario: For a field trip, 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Back

4 + 9x = 472

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal.

Front

If Mary has a starting salary of $36,000 and receives a raise of $1,500 every year, what will her salary be after 7 years?

Back

$36,000 + (7 * $1,500) = $46500.

Front

If Job B has a starting salary of $29,000 and a raise of $2,500 every year, what will her salary be after 7 years?

Back

$29,000 + (7 * $2,500) = $44,500.

Front

What is the first step in solving the equation 4x + 2 = 18?

Back

Subtract 2 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 5x - 3 = 2x + 6?

Back

x = 3.

Front

What is a coefficient in an algebraic expression?

Back

A number that is multiplied by a variable.