Multistep Equations

Front

What is a multistep equation?

Back

A multistep 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

What is the first step in solving the equation 3y + 6 + 4y - 7 = -8?

Back

Combine like terms: 3y + 4y + 6 - 7 = -8 becomes 7y - 1 = -8.

Front

How do you isolate the variable in the equation 7y - 1 = -8?

Back

Add 1 to both sides: 7y = -8 + 1, which simplifies to 7y = -7.

Front

What is the final step to solve for y in the equation 7y = -7?

Back

Divide both sides by 7: y = -7/7, which simplifies to y = -1.

Front

What does the distributive property state?

Back

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

Front

How do you apply the distributive property to the equation 4 = 2(x + 3)?

Back

Distribute 2: 4 = 2x + 6.

Front

What is the next step after applying the distributive property in 4 = 2x + 6?

Back

Subtract 6 from both sides: 4 - 6 = 2x, which simplifies to -2 = 2x.

Front

How do you solve for x in the equation -2 = 2x?

Back

Divide both sides by 2: x = -2/2, which simplifies to x = -1.

Front

What is the solution to the equation 6 - 3a = 21?

Back

First, subtract 6 from both sides: -3a = 21 - 6, which simplifies to -3a = 15. Then divide by -3: a = -5.

Front

What is the first step in solving the equation 5h - 6 - h + 10 = 12?

Back

Combine like terms: (5h - h) + (-6 + 10) = 12, which simplifies to 4h + 4 = 12.