Solving Quadratics many ways 2-23

Four students solved the quadratic equation 12x² = 10 - 7x by factoring. Which linear pair shows the correct factoring of the quadratic equation and which values of x are solutions to the equation?

• (3x + 2)(4x + 5),

  x = 2/3 and x = -5/4

• (3x - 2)(4x - 5),

  x = 3/2 and x = -4/5

• (3x + 2)(4x - 5),

  x = -3/2 and x = 4/5

• (3x - 2)(4x + 5),

  x = 2/3 and x = -5/4

Which represents the solution to the equation 7x² + 12 = 18?

• x = 1

• x = -9 and x = 1

• x = -14 and x = 6

• x = 21

• {-5, -1.5}

• {2.5, 3}

• {1.5, 5}

• {-3, -2.5}

Which value of x is a solution to this equation? 5x² - 36x + 36 = 0

Select 2 choices.

• x = 6

• x = -6

• x = -1.8

• x = 1.2

• x = -1.2

A quadratic function f(x) = x² - 5x - 24 is given.

Select THREE statements below that are true.

• The roots for f(x) are (-3,0) and (8,0).

• The y-intercept is -24

• Axis of symmetry is x = 2.5.

• The range is all real numbers.

• Domain is any real number greater than or equal to -30.25.

Complete the Square (this is step before you take square root on both sides)

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

(x + 1) ² = 25

• ± 5
• 4  or  -6
• -4  or  6
• ± 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4