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: -166=7x+3(6x+3)?

Back

First, distribute the 3: -166 = 7x + 18x + 9. Combine like terms: -166 = 25x + 9. Subtract 9 from both sides: -175 = 25x. Divide by 25: x = -7.

Front

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

Back

Distribute the 2: 3x + 8x - 8 = 3.

Front

What is the solution to the equation: 7m + 8 = 71?

Back

Subtract 8 from both sides: 7m = 63. Then divide by 7: m = 9.

Front

How do you isolate the variable in the equation: -(n - 8) = -2?

Back

Distribute the negative: -n + 8 = -2. Then subtract 8 from both sides: -n = -10. Finally, multiply by -1: n = 10.

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.

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 parenthesis.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation: 3x + 2(4x - 4) = 3?

Back

After distributing and combining like terms, the solution is x = 1.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value, which is the solution to the equation.