Solving Multi-Step 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 4x + 10 = -26?

Back

The first step is to isolate the term with the variable by subtracting 10 from both sides, resulting in 4x = -36.

Front

How do you isolate the variable in the equation 4x = -36?

Back

Divide both sides by 4 to get x = -9.

Front

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

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Solve the equation: 5x - 4 + 2x = 3

Back

Combine like terms to get 7x - 4 = 3, then add 4 to both sides to find 7x = 7, and finally divide by 7 to get x = 1.

Front

What is the distributive property?

Back

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

Front

Solve the equation: 3x + 2(4x - 4) = 3

Back

Use the distributive property to get 3x + 8x - 8 = 3, combine like terms to get 11x - 8 = 3, then add 8 to both sides to find 11x = 11, and divide by 11 to get x = 1.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

First, use the distributive property to get -11 + 3b + 15 = 7. Combine like terms to get 3b + 4 = 7, then subtract 4 from both sides to find 3b = 3, and divide by 3 to get b = 1.

Front

How do you solve for k in the equation 4 + k/2 = -3?

Back

Subtract 4 from both sides to get k/2 = -7, then multiply both sides by 2 to find k = -14.

Front

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

Back

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