Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation?

Back

Finding the value of the variable that makes the equation true.

Front

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

Back

Isolate one variable on one side of the equation.

Front

Solve for k: -5k + 10 = -2k - 14

Back

k = 8

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

What does it mean if an equation has no solutions?

Back

There are no values for the variable that can satisfy the equation.

Front

Solve for x: 6x + 10 = 2(3x + 4)

Back

No solutions

Front

What does it mean if an equation has infinite solutions?

Back

Any value for the variable satisfies the equation.

Front

Solve for y: 3y - 8 = 7y

Back

y = -4

Front

What is the purpose of moving constants to one side of the equation?

Back

To isolate the variable and simplify the equation.