Math Study Guide 6 - Solving Algebraic Equations

Like Terms are terms that have __________ variable parts.

Identical variable parts (same variable(s) and same exponent(s)).

When simplifying using addition and subtraction, you combine like terms by __________ the numerical coefficients.

Adding or subtracting.

The distributive property involves __________ before you can combine like terms.

Getting rid of multiplication.

The opposite of addition is __________.

Subtraction.

To solve single step equations, you do the __________ of whatever the operation is.

Opposite.

The first step in solving multi-step equations is to use the opposite order of __________.

PEMDAS.

In the equation 3x – 5 = 22, to isolate x, you first add __________ to both sides.

Five to both sides

To solve equations with more than one x on the same side of the equal sign, you need to __________ first.

Combine like terms.

When solving equations with x's on both sides, you need to "Get the x's on __________ side and the numbers on the other."

One.

The process of solving multi-step equations often involves __________ the coefficients.

Dividing.