3.3 Distribute to Solve Equations

Front

What is the distributive property in mathematics?

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.

Tags

CCSS.6.EE.A.3

Front

Solve for x: 2(x + 3) = 16

Back

x = 5

Tags

CCSS.7.EE.B.4A

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 other side.

Front

Solve for x: 4(x - 1) = 12

Back

x = 4

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 3(x + 4) = 21?

Back

The first step is to apply the distributive property: 3x + 12 = 21.

Tags

CCSS.7.EE.B.4A

Front

Solve for x: 5(2x + 3) = 40

Back

x = 4

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of simplifying an equation before solving it?

Back

Simplifying an equation makes it easier to solve by reducing complexity and eliminating unnecessary terms.

Tags

CCSS.8.EE.C.7B

Front

Solve for x: 6(x - 2) + 3 = 15

Back

x = 5

Tags

CCSS.7.EE.B.4A

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as in 3x, where 3 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

Solve for x: 2x + 5 = 17

Back

x = 6

Tags

CCSS.7.EE.B.4A