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

How do you solve the equation 8v - 4(v + 8) = 8?

Back

First, distribute -4: 8v - 4v - 32 = 8. Combine like terms: 4v - 32 = 8. Add 32 to both sides: 4v = 40. Divide by 4: v = 10.

Front

What is the first step to solve the equation Jerry's earnings: 20 + 7h = 62?

Back

Subtract 20 from both sides: 7h = 42.

Front

How do you find the number of months Bobbie has been paying for internet if she paid $415?

Back

Set up the equation: 100 + 35m = 415. Subtract 100 from both sides: 35m = 315. Divide by 35: m = 9.

Front

What equation represents Jack's savings for the Wii?

Back

The equation is 25.50w + 80 = 284, where w is the number of weeks.

Front

What does '37 less than the product of 15 and a number' mean in equation form?

Back

It means 15x - 37.

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 a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

What does it mean to combine like terms?

Back

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