DMAC Review Module 4 solving Quadratics part 1

In order to determine the slant height of several pyramids, Marjorie used the surface area formula, S = 1/2 P ℓ + B for the slant height, ℓ. Which equation, in terms of ℓ, represents the correct transformation of the surface area formula?

• ℓ = 2S - B / P

• ℓ = 2S + 2B / P

• ℓ = 2PS - 2BP

• ℓ = 2S - 2B / P

Tags

CCSS.HSA.CED.A.4

Which equation is equivalent to 4x - 3y = 15 when solved for y?

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

• x = 1

• x = -9 and x = 1

• x = -14 and x = 6

• x = 21

Tags

CCSS.HSA-REI.B.4B

• {-5, -1.5}

• {2.5, 3}

• {1.5, 5}

• {-3, -2.5}

Tags

CCSS.HSA-REI.B.4B

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

• x = -6

• x = 4

• x = -1.8

• x = 1.2

Tags

CCSS.HSA-REI.B.4B

A quadratic function and a blank grid are given. f(x) = x² - 5x - 24.

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.

Tags

CCSS.HSF-IF.C.7A