Solving Linear Equations

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

Front

Solve for x: 2(2x - 1) = 10

Back

x = 3

Front

What is the solution for the equation x + 12 = 20?

Back

x = 8

Front

Solve for x: 3(3x - 5) = 21

Back

x = 4

Front

Solve for x: 3(x + 3) = 30

Back

x = 7

Front

What is the Commutative Property?

Back

The Commutative Property states that changing the order of numbers in addition or multiplication does not change the result. For example, a + b = b + a.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c).

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number. For example, a × 1 = a.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form ax + b = c.