Equations with Combining Like Terms OR Distributive Property

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This simplifies the equation.

Tags

CCSS.7.EE.A.1

Front

Solve for b: 3b + 6b = 63

Back

b = 7

Tags

CCSS.7.EE.B.4A

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Tags

CCSS.6.EE.A.3

Front

Solve for x: 10 - 5x + 20 = 50

Back

x = -4

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 opposite side.

Front

Solve for n: 7n - 5n = 6

Back

n = 3

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 7a + 1 + 3 = 18?

Back

Combine like terms: 7a + 4 = 18.

Tags

CCSS.7.EE.B.4A

Front

Solve for a: 7a + 1 + 3 = 18

Back

a = 2

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 the 3 in 3x.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Tags

CCSS.7.EE.A.1