Act Prep Quadratics

What values are the solutions for x² + 2x = 8?

• -4 and 2

• -2 and 0

• -2 and 4

• 6 and 8

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

• 9x² − 16y⁴

• 9x² − 8y⁴

• 9x² + 16y⁴

• 6x² − 16y⁴

• 6x² − 8y⁴

If Carly wanted to solve the equation below by using the quadratic formula, which answer shows the correct sequence of steps?

• Identify a=1, b=-12, and c=4.
  Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator and divide by the denominator.

• Identify a=1, b=-12, and c=4.
  Plug in the numbers for a, b, and c. Simplify the radical (square root sign). Simplify the numerator.

• Identify a=1, b=-12, and c=4.
  Plug in the numbers for a, b, and c. Simplify the radical (square root sign).

• This trinomial cannot be solved by the quadratic formula.

Which equation could match the graph?

• y = 1/3(x + 1)(x + 4)

• y = 1/3(x - 1)(x - 4)

• y = 1/3(x - 4)(x - 4)

• y = 1/3(x + 2.5)(x + 4)

Mathematical Equivalence

ON

• A

• B

• C

• D

A table of values for a quadratic function is shown.

Type the equation of the quadratic function in Standard Form.

y = ax² + bx + c

Mathematical Equivalence

ON

The graph of a quadratic function is shown on the grid. Write an equation to represent the function.

Mathematical Equivalence

ON

Write the equation of the quadratic if it goes through (-1, 2) and has the given intercepts.

• y=5/2 (x-0)(x-4)

• y = 2/5 (x-0)(x-4)

• y= 2/3 (x-0)(x-4)

• y= 3/2 (x-0)(x-4)