Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What is the goal of solving multi-step equations?

Back

To find the value of the variable.

Front

Solve for x: 3x + 2(4x - 4) = 3

Back

x = 1

Front

Solve for m: 7m + 8 = 71

Back

m = 9

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

Front

Solve for a: -11 - 5a = 6(5a + 4)

Back

a = -1

Front

What is a coefficient in an equation?

Back

A numerical factor that multiplies a variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change.

Front

Solve for x: -166 = 7x + 3(6x + 3)

Back

x = -7