Algebraic Reasoning Review

Which expression is equivalent to 3.7x + (0.5 – 6y) + 0.8 – (1.7x + 1 – 2.3y)?

• 2x – 8.3y + 2.3

• 5.4x + 8.3y + 2.3

• 2x – 3.7y + 0.3

• 2x + 8.3y – 0.7

Evaluate the expression.

Which value of x makes the equation 3(x – 6) = 8x – 3(3x + 7) true?

Anna sold 254 cookies for $2 each and 85 hamburgers for $4 each to raise money for a charity foundation. The equation below represents the amount of money Anna was able to donate to the foundation, m, after subtracting the $450 she spent on supplies to make the cookies and hamburgers from the amount she collected in sales.

m = (2 × 254) + (4 × 85) – 450

How much money did Anna donate to the charity foundation?

• $848

• $618

• $398

• $298

Twenty of Erin's friends each agreed to donate $5 to her fundraiser. Her parents agreed to donate $50.

Which equation can be used to determine d, the total amount of money Erin raised for her fundraiser?

• 20 × 5 + 50 = d

• 20 + 5 + 50 = d

• 20 ÷ 5 + 50 = d

• 20 × 5 = d + 50

Solve and Graph

• A

• B

• C

• D

Which answer choice correctly states the x-intercepts of h(x)?

• (2,0) & (-3,0)

• (-2,0) & (3,0)

• (-2,0) & (-3,0)

• (-2,0) , (3,0) & (0,-6)

Which of the following factored form equations is correct for the table shown?

Which equation correctly uses the X-Intercepts to write the factored form equation of the cubic function shown in the table below?