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 5x - 4 + 2x = 3?

Back

Combine like terms: 5x + 2x = 7x, so the equation becomes 7x - 4 = 3.

Front

How do you isolate the variable in the equation 7x - 4 = 3?

Back

Add 4 to both sides: 7x = 3 + 4, which simplifies to 7x = 7.

Front

What is the solution to the equation 7x = 7?

Back

Divide both sides by 7: x = 1.

Front

What does it mean to distribute in an equation?

Back

To distribute means to multiply a term by each term inside parentheses. For example, in 2(4x - 4), you would multiply 2 by 4x and 2 by -4.

Front

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

Back

First distribute: 3x + 8x - 8 = 3. Combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11. Divide by 11: x = 1.

Front

What is the solution to the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4: 2x - 3 = 36. Add 3 to both sides: 2x = 39. Divide by 2: x = 19.5.

Front

How do you solve the equation (x/4) + 10 = 34?

Back

Subtract 10 from both sides: x/4 = 24. Multiply both sides by 4: x = 96.

Front

What is the solution to the equation x/3 + 10 = 15?

Back

Subtract 10 from both sides: x/3 = 5. Multiply both sides by 3: x = 15.

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 parentheses.