Solving Two-Step Equations

Which of the following pairs contains like terms that can be combined?

• B. 5a and 5b

• C. 3x and 3

• D. 4x and 7x

Simplify the expression by combining like terms: 8a + 5 + 2a - 3

• 6a + 2

• 10a + 2

• 10a + 8

• 12a

Using the distributive property, what is the simplified form of 4(x + 3)?

• 4x + 12

• x + 12

• 7x

• 4x + 3

What is the result of simplifying -3(n - 5)?

• -3n + 5

• 3n + 15

• -3n - 15

• -3n + 15

Solve the two-step equation: 2x + 5 = 17

• x = 12

• x = 11

• x = 6

• x = 8.5

What is the value of y in the equation 5y - 6 = 24?

• y = 30

• y = 3.6

• y = 6

• y = 5

In the context of the school fundraiser scenario, if Club A's total is represented by 5x + 20 and Club B's is 7x + 10, what does x represent?

• The total money collected

• The fixed donation amount

• The price of one ticket

• The number of student tickets sold

Which algebra skill is most critical when you need to find when two different expressions, such as 2x + 5 and x + 11, are equal?

• Defining a variable

• Drawing a number line

• Rounding decimals

• Solving equations with variables on both sides

Which of the following is the simplified form of 6(m - 2) + 4?

• 6m - 12

• 6m + 2

• 6m - 8

• 6m + 4

Combine like terms to simplify: 7x + 3x - 5

• 7x - 2x - 5

• 10x - 5

• 10x + 5

• 4x - 5