EOC review #1

Lava coming from the eruption of a volcano follows a parabolic path.  The height h in feet of a piece of lava t seconds after it is ejected from the volcano is given by h(t) = -t² + 16t + 936.  After about how many seconds does the lava reach its maximum height?

• 12
• 20
• 8
• 5

If the endpoints of the diameter of a circle are (–4, 4) and (2, –2), what are the coordinates of the center of the circle?

• (-1 , 1)
• (1 , -1)
• (-3 , 3)
• (3 , -3)

Tags

CCSS.HSG.GPE.A.1

On this coordinate grid, the library is located at point T, the music stores is located at point S, and the pet store is located at point R.  Each grid line represents 1 mile. How much farther, to the nearest tenth of a mile, is the music store from the library than it is from the pet store?

• 3.3
• 8.0
• 11.3
• 13.6

Tags

CCSS.HSG.GPE.B.7

Why does the data in the table NOT represent a function?

• A function cannot have fractions in its domain.
• The domain element 1 has two different range elements.
• Two different domain elements have the same range, 4.
• It does represent a function.

Tags

CCSS.8.F.A.1

The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven.  A van that is driven 107 miles costs $97.15.  A van that is driven 127 miles costs $106.15.  What is the flat rental fee?

• $19.00
• $20.00
• $45.00
• $49.00

Tags

CCSS.7.EE.B.4A

Shauna saw 30 fish.  If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

• 2x + 6 = 30
• 30 - 2x = 6
• 6x + 2 = 30
• x = 2x + 6

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown.  What can you conclude about the two functions?

•  ƒ(x) has a greater maximum than g(x).
• g(x) has a greater maximum than ƒ(x).
• ƒ(x) has a minimum, while g(x) has a maximum.
• g(x) and ƒ(x) have the same maximum.

Rectangle ABCD has the vertices A(1,4), B(7,7), C(9,4), and D(3,1).  What is the perimeter of the rectangle to the nearest hundredth?

• 24.19
• 18.23
• 20.63
• 18

Tags

CCSS.HSG.GPE.B.7

The sequence below shows the number of trees a nursery plants each year. 2, 8, 14, 20… Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of trees planted this year, NOW is known? 

•  NEXT = 4 + NOW
• NEXT = 4 ∙ NOW
•  NEXT = 4 ∙ NOW + 2
• NEXT = NOW + 6

Tags

CCSS.HSF.BF.A.2

 If f(x) = -1.5x - 1, give a coordinate point on the graph of f corresponding to f(-2)

• (2,-2)
• (-4, -2)
• (-2, 2)
• (-2, -4)

Tags

CCSS.HSF.IF.A.2