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 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 5x - 14 = 8x + 4?

Back

You can isolate the variable by moving all terms involving x to one side and constant terms to the other side. For example, subtract 5x from both sides: -14 = 3x + 4.

Front

What does it mean to simplify an expression like 5x + 3 - 2x + 1?

Back

To simplify means to combine like terms. In this case, combine 5x and -2x to get 3x, and combine 3 and 1 to get 4, resulting in 3x + 4.

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 parentheses.

Front

How do you solve the equation 4 = 2(x + 3)?

Back

First, use the distributive property: 4 = 2x + 6. Then, isolate x by subtracting 6 from both sides: -2 = 2x, and finally divide by 2 to get x = -1.

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

First, distribute: 5y + 34 = 14y - 2. Then, move 5y to the right: 34 = 9y - 2. Add 2 to both sides: 36 = 9y, and divide by 9 to get y = 4.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3y + 6 + 4y - 7 = -8?

Back

The solution is y = -1.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.