Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve an equation with variables on both sides?

Back

1. Simplify both sides of the equation. 2. Move all variable terms to one side and constant terms to the other. 3. Isolate the variable.

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

Write an equation to find the number of games needed for equal cost: Xbox One for $150 and $24 per game vs. Playstation 4 for $180 and $20 per game.

Back

150 + 24x = 180 + 20x

Front

What is the solution for v in the equation -15v - 40 = 23 - 8v?

Back

v = -9

Front

Solve for n: 4.4 + n = -4.6 - 2n

Back

n = -3

Front

Write an equation to determine how many rentals would make the costs equal: Club A for $25 and $1 per rental vs. Club B for $15 and $2 per rental.

Back

25 + x = 15 + 2x

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, making it easy to find its value.

Front

What is a constant in an equation?

Back

A fixed value that does not change, represented by a number.

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable, such as the 2 in 2x.