Two-Step Equations with Distributing

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

What does it mean to distribute in algebra?

Back

Distributing in algebra means to multiply a single term by each term inside a set of parentheses.

Front

How do you solve the equation 10(x-5)=-80?

Back

First, distribute 10 to both terms: 10x - 50 = -80. Then, add 50 to both sides: 10x = -30. Finally, divide by 10: x = -3.

Front

What is the first step in solving the equation -5(x-10)=-35?

Back

The first step is to distribute -5 to both terms: -5x + 50 = -35.

Front

How do you isolate the variable in the equation 4(7 + 6x) = -164?

Back

First, distribute 4: 28 + 24x = -164. Then, subtract 28 from both sides: 24x = -192. Finally, divide by 24: x = -8.

Front

What is the solution to the equation 3x + 5 = 20?

Back

To solve for x, subtract 5 from both sides: 3x = 15. Then, divide by 3: x = 5.

Front

What is the purpose of combining like terms in an equation?

Back

Combining like terms simplifies the equation, making it easier to solve for the variable.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.

Front

What is the result of distributing -2 in the expression -2(x + 3)?

Back

The result is -2x - 6.

Front

How do you solve for x in the equation 5(x - 2) + 3 = 18?

Back

First, distribute 5: 5x - 10 + 3 = 18. Then, combine like terms: 5x - 7 = 18. Add 7 to both sides: 5x = 25. Finally, divide by 5: x = 5.