Algebra Sol Test

A paving company is paving the rectangular student parking lot at Hamilton High School. 
⋅ The length of the parking lot can be represented as (5p - 7)
⋅ The width of the parking lot can be represented as (3p + 4)
Which expression represents the area of the parking lot?

• 15p² - 41p - 28

• 8p² + 41p - 3

• 8p² - p - 3

• 15p² - p - 28

Which of the following is equivalent to Charlie's model?

• (2x - 12)(3x + 2)

• (7x²+3x+7)-(x²+5x+7)

• (4x²-x+3)+(2x²+x+3)

• (36x² - 12x + 6x) ÷ (6x)

What are the factors of 18m² - 8n², when it is completely factored?

• 2(3m + 2n)(3m - 2n)

• 2(9m² - 4n²)(9m² + 4n²)

• 2(9m² - 4n²)

• (3m + 2n)(3m - 2n)

Find the slope of the line passing through the point (-1, -3) and having an x-intercept of 2.

• -(¹/₅)

• ¹/₃

• 1

• 5

Solve the equation for b.
2b + by = 7x

• b = ^{(7x - y)}/ ₍₂₎

• b = ^(7x)/ _(2y)

• b = ^(7x)/ _{(2 + y)}

• b = ^{(7x - 2)}/ _(y)

Identify the property that justifies the work between Step 2 and Step 3.

• Additive Identity Property

• Additive Inverse Property

• Subtraction Property of Equality

• Division Property of Equality

Which systems of equations has an infinite number of real solutions?

• y = -2x + 4
  2x - 4y = 4

• 8x + 2y = 30
  x + y = 15

• y = 3x + 4
  3x - y = 6

• y = 2x + 4
  6x - 3y = -12

Given:
-2x - 8 ≥ 4x - 9
Using the given inequality, select all that do not illustrate the application of the addition property of inequality.

• -2(x + 4) ≥ 4x - 9

• -2x - 8 + 2x ≥ 4x - 9 + 2x

• -2x - 8 + 8 ≥ 4x - 9 + 8

• -2x - 8 + 9 ≥ 4x - 9 + 9

A linear relationship exists between the weight of a candy purchased (w) and the cost of the candy (c).
⋅ 2 pounds of candy costs 5 dollars.
⋅ 6 pounds of candy costs 7 dollars.
Which of the following best shows the relationship between the weight and the cost of the candy?

• C = (¹/₂)w + 4

• C = (¹/₂)w - ¹/₂

• C = 2w - 8

• C = 2w + 1

If f(-2) = 4. which of the following could be the equation for f(x)?

• f(x) = -2x + 4

• f(x) = -2(x + 4)

• f(x) = (x + 2)² + 4

• f(x) = x² - 2x + 4