Equations with Combining Like Terms OR Distributive Property

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 or difference.

Front

How do you combine like terms in an expression?

Back

To combine like terms, group terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the first step in solving an equation?

Back

The first step in solving an equation is to simplify both sides of the equation, if possible, by combining like terms and using the Distributive Property.

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

How do you solve the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms to get 7y - 1 = -8, then isolate y to find y = -1.

Front

What is the solution to the equation 6x + 5 + 7x = -34?

Back

Combine like terms to get 13x + 5 = -34, then isolate x to find x = -3.

Front

How do you solve for h in the equation 10(h + 1) - 4 = 76?

Back

Distribute to get 10h + 10 - 4 = 76, simplify to 10h + 6 = 76, then isolate h to find h = 7.

Front

What is the result of combining like terms in the expression 2x + 3x - 5?

Back

The result is 5x - 5.

Front

What is the value of x in the equation x + 60 = 120?

Back

To solve for x, subtract 60 from both sides to find x = 60.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.