Solving Equations with DP and CLT PA Quick Check

Front

What is the Distributive Property?

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.

Front

How do you isolate a variable in an equation?

Back

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

Front

What does it mean to combine like terms?

Back

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

Front

What is the first step to solve the equation 1/2(5 - 3x) = 19?

Back

Multiply both sides by 2 to eliminate the fraction.

Front

How do you solve the equation 5(9x - 2) = 12?

Back

First, distribute the 5: 45x - 10 = 12. Then, add 10 to both sides and divide by 45.

Front

What is the solution to the equation x - 5 + 3x - 11 = -3 - 4?

Back

Combine like terms to get 4x - 16 = -7, then solve for x to find x = 2.25.

Front

What does it mean to simplify an equation?

Back

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

Front

What is the solution to the equation 3(2x - 4) = 7?

Back

Distributing gives 6x - 12 = 7. Adding 12 to both sides gives 6x = 19, so x = 19/6.

Front

What is the result of combining like terms in the equation -10 - 2 = -3x - 4 + x + 9?

Back

The simplified equation is -12 = -2x + 5.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations performed on a variable, helping to isolate the variable.