MT 7.5A Solving Equations with Parenthesis

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve the equation: 2(x + 3) = 14

Back

x = 4

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve the equation: 3n + 4 = 7

Back

n = 1

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve the equation: 3(2x - 10) = 12

Back

x = 7

Front

What is the purpose of using parentheses in equations?

Back

Parentheses indicate which operations should be performed first according to the order of operations.

Front

Solve the equation: -48 = -2(4x - 8)

Back

x = 8

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

Solve the equation: 5(x - 2) + 3 = 18

Back

x = 5