Solve MultiStep Equations

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

What is the first step to solve the equation 5x - 14 = 8x + 4?

Back

The first step is to get all terms involving the variable on one side and constant terms on the other side. You can do this by adding 14 to both sides and subtracting 8x from both sides.

Front

How do you isolate the variable in the equation 10(h + 1) - 4 = 76?

Back

First, simplify the left side: 10h + 10 - 4 = 76. Then combine like terms to get 10h + 6 = 76. Finally, subtract 6 from both sides and divide by 10 to isolate h.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in the expression 3y + 4y, you can combine them to get 7y.

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 each term inside a parenthesis.

Front

Solve for y: 3y + 6 + 4y - 7 = -8

Back

Combine like terms: 7y - 1 = -8. Then add 1 to both sides to get 7y = -7. Finally, divide by 7 to find y = -1.

Front

What is the solution to the equation 7(1 - y) = -3(y - 2)?

Back

First, apply the distributive property: 7 - 7y = -3y + 6. Then, combine like terms to isolate y: 7 - 6 = 4y, leading to y = 1/4.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation. It helps confirm that no mistakes were made during the solving process.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true. This often involves isolating x on one side of the equation.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.