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 to solve 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 is the solution to the equation x - 3 = 10?

Back

Add 3 to both sides: x = 10 + 3, which simplifies to x = 13.

Front

What does the equation 4x - 3 = 17 represent?

Back

It represents a linear equation where you need to isolate x to find its value.

Front

How do you solve the equation 4x - 3 = 17?

Back

Add 3 to both sides: 4x = 17 + 3, which simplifies to 4x = 20. Then divide by 4: x = 20 / 4, which simplifies to x = 5.

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 solve the equation 10(h + 1) - 4 = 76?

Back

First, apply the distributive property: 10h + 10 - 4 = 76, which simplifies to 10h + 6 = 76.

Front

What is the next step after simplifying 10h + 6 = 76?

Back

Subtract 6 from both sides: 10h = 76 - 6, which simplifies to 10h = 70.