NYS Algebra Regents

What is 2x² -12x + 32 written in vertex form?

• (x + 3)² + 14
• 2(x - 3)² + 14
• 2(x² - 6x + 9) + 14
• (x - 3)² + 14

What are the coordinates of the vertex for the equation f(x) = -4(x + 7)² - 12

• (7, -12)
• (-7, 12)
• (-4, -12)
• (-7, -12)

Find the solution to the following inequality:
6(x - 5) < 7x - 4

• x ≥ 26
• -26 < x
• x < -26
• -x > 26

f(x) = x².  g(x) = f(x - 4) + 2.  Name the translation that takes f(x) to g(x).

• Four units up, two units right
• Two units left, four units down
• Four units right, two units up
• Four units left, two units up

If A = 3x² - 6x  and B = 12x- 6x², what is B - A?

• -9x² + 18x
• 9x² - 18x
• -3x² + 6x
• -3x²

Tags

CCSS.HSA.APR.A.1

Which of the following represents a function

• {(3,5), (4,5), (5,5), (3,7)}
• {(2,3), (4,6), (-2,7), (2,8)}
• {(2,4), (3,6), (2,-3), (5,6)}
• {(2,3), (4,5) ,(5,5), (7, 5)}

Tags

CCSS.8.F.A.1

The ages offing students are listed below
5, 7, 9, 10, 13, 14, 14, 17, 19
Which of the following is true:

• mode < mean < median
• mean < median < mode
• mode < median < mean
• median < mode < mean

The formula for the area of a trapezoid is
A = ½(b₁ + b₂)h.
What is the value of b₁ in terms of A, h, and b₂?

• [(2A)/h] - b₂ 
• 2A
• b₂ - 2A
• [½A - b₂]

Tags

CCSS.HSA.CED.A.4

The function f(x) = √(x - 3) has a domain of:

• x ≤ 3
• x  ≥ -3
• x ≥ 3
• x ≤ -3

Mo’s farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell? 

• 65
• 18
• 11
• 100

Tags

CCSS.8.EE.C.8C