Equations with Combining Like Terms OR Distributive Property

Front

What is the process of combining like terms in an algebraic expression?

Back

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

Tags

CCSS.7.EE.A.1

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Tags

CCSS.6.EE.A.3

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 7n - 5n = 6?

Back

The first step is to combine like terms on the left side, resulting in 2n = 6.

Tags

CCSS.7.EE.B.4A

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation -118 = -5(4 + 7x) + 7?

Back

The solution is x = 3.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation are equivalent.

Front

How do you solve the equation 2(x - 4) = 18?

Back

First, distribute the 2 to get 2x - 8 = 18, then add 8 to both sides to get 2x = 26, and finally divide by 2 to find x = 13.

Tags

CCSS.7.EE.B.4A

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