Act Pre Algebra Prep

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Which of the following mathematical equations is equivalent to the statement “A number, x, squared is 39 more than the product of 10 and x” ?

• 2x = 39 + 10x

• 2x = 39x + 10x

• x² = 39 - 10x

• x² = 39 - x¹⁰

• x² = 39 + 10x

Lines p and n lie in the standard (x,y) coordinate plane. An equation for line p is y = 0.12x + 3,000. The slope of line n is 0.1 greater than the slope of line p. What is the slope of line n?

• 0.012

• 0.02

• 0.22

• 1.2

• 300

For ΔFGH which of the following is an expression for y in terms of x?

• x + 4

• √(x² + 4)

• √(x² + 8)

• √(x² - 16)

• √(x² + 16)

The graph of y = −5x² + 9 passes through (1,2a) in the standard (x,y) coordinate plane. What is the value of a ?

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• 4

• 7

• -1

• -8

The expression (3x − 4y²)(3x + 4y²) is equivalent to:

• 9x² – 16y⁴

• 9x² – 8y⁴

• 9x² + 16y⁴

• 6x² – 16y⁴

• 6x² – 8y⁴

A rectangle has an area of 32 square feet and a perimeter of 24 feet. What is the shortest of the side lengths, in feet, of the rectangle?

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• 8