Multi-Step Equations period 4/5

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

How do you solve the equation 3a + 9 + 4a = 2?

Back

Combine like terms: 7a + 9 = 2. Then, subtract 9 from both sides: 7a = -7. Finally, divide by 7: a = -1.

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

Solve the equation 3(2x + 4) = 30.

Back

First, distribute: 6x + 12 = 30. Then, subtract 12 from both sides: 6x = 18. Finally, divide by 6: x = 3.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side of the equation by itself.

Front

Solve the equation 2(x + 4) = 14.

Back

Distribute: 2x + 8 = 14. Subtract 8 from both sides: 2x = 6. Divide by 2: x = 3.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

Solve the equation 5b - 3b + 8 = 16.

Back

Combine like terms: 2b + 8 = 16. Subtract 8 from both sides: 2b = 8. Divide by 2: b = 4.

Front

What is the first step in solving the equation -2x + 10 + 6x = -26?

Back

Combine like terms: 4x + 10 = -26. Then, subtract 10 from both sides: 4x = -36.

Front

What is the solution to the equation -2x + 10 + 6x = -26?

Back

After combining like terms and isolating x, you find x = -9.