multistep equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 4 = 2(x + 3)?

Back

The first step is to distribute the 2 on the right side, resulting in 4 = 2x + 6.

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 to simplify the equation.

Front

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

Back

First, add 4 to both sides to get 10(h + 1) = 80, then divide by 10 to find h + 1 = 8, and finally subtract 1 to find h = 7.

Front

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

Back

Combine like terms to get 7y - 1 = -8, then add 1 to both sides to find 7y = -7, and divide by 7 to find y = -1.

Front

How do you solve for w in the equation 3w = 30?

Back

Divide both sides by 3 to isolate w, resulting in w = 10.

Front

What is the process to solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 to both sides to find 6x = 30, and divide by 6 to find x = 5.

Front

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

Back

Checking your solution ensures that the value satisfies the original equation, confirming that the solution is correct.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.