SAT Math Quadratics

The figure above shows the graph in the xy-plane of the function f. If q, r, s and t are distinct real numbers, which of the following could be f(x) ?

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Tags

CCSS.HSA.APR.B.3

If 16a² + 4a – 6 = 0, what is a possible value of a?

Calculator OK.

• -0.75

• -0.5

• 0

• 1

Tags

CCSS.HSA-REI.B.4B

Which of the following includes all possible values of y in the equation above?

• {–6}

• {–6, 6}

• {6}

• {6, 36}

Tags

CCSS.HSA.REI.A.2

Which of the following quadratic equations is represented in the graph above? Calculator ok.

• y = x² – x – 6

• y = x² + x – 12

• y = x² + 6x + 9

• y = x² + 5x + 6

Tags

CCSS.HSF-IF.C.7A

If the third degree polynomial x³ – 10x² + 12x + 72 can be factored to (x + 2)y² , what is y in terms of x ?

• x - 6

• x - 3

• x - 1

• x + 1

Answer explanation

Use synthetic division

Tags

CCSS.HSA.APR.C.4

This system has two solutions for (x, y). What is the larger value of x ?

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Tags

CCSS.HSA.REI.C.7

When (2x – 3)(2x + 1) – (x + 2)(x – 5) is expressed in the form ax² + bx + c,

what is the value of a + b + c ?

Tags

CCSS.6.EE.A.3

What is the result of multiplying 8s² – 6s + 2 by 4s – 1 ?

• 14s – 2

• 16s² + 2s + 2

• 32s³ – 16s² + 2s + 2

• 32s³ – 32s² + 14s – 2

Tags

CCSS.HSA.APR.A.1

If the equation for a parabola is y = 5(x – 3)² – 3, which of the following points represents the parabola’s vertex?

• (3, –3)

• (3, 0)

• (0, –3)

• (–3, 3)

Which of the following equations best describes the figure above?

• y = –x⁴ + 6

• y = –(x² + 6)

• y = –x² + 6

• y = x⁴ + 6

Tags

CCSS.HSF-IF.C.7A