Solving Equations - Combining Like Terms & Distributive Property

Front

What is the first step to solve the equation 3x - 5 = 7?

Back

Add 5 to both sides of the equation.

Front

What is the solution for x in the equation -15 + 3x - 7x = -43?

Back

x = 7.

Front

What is the first step to solve the equation 4h + 3 - 2h = 15?

Back

Combine Like Terms.

Front

Back

r = 8.

Front

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

Back

x = 3.

Front

What does 'combining like terms' mean in algebra?

Back

It means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the Distributive Property?

Back

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

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the purpose of the Subtraction Property of Equality?

Back

It allows you to subtract the same number from both sides of an equation to maintain equality.

Front

What is the first step in solving the equation 2(x + 3) = 16?

Back

Use the Distributive Property to expand the equation.