Math 1 EOC review

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

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.B.6

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.HSA.CED.A.2

CCSS.HSG.GPE.B.7

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

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.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.8.EE.C.7B

A rectangle has a 
Length = 3x+1
Width = 2x+4
Which is the correct expression for the area of the rectangle?

• x - 3
• 5x + 5
• 6x² + 14x + 4
• 24x² + 56x + 15

Tags

CCSS.HSA.APR.A.1

When 3g² - 4g + 2 is subtracted from 
7g² + 5g - 1, the difference is

• -4g² - 9g + 3
• 4g² + 9g - 3
• 4g²  + g + 1
• 10g² + g + 1

Tags

CCSS.HSA.APR.A.1

Which is equivalent to the expression below?
(9a²b³c⁵)(-6b²c³)

• -54abc²
• -54a²b⁵c⁸
• 3bc²
• 3a²b⁶c¹⁵

Tags

CCSS.HSA.APR.A.1

What is the simplest form of the expression (3x²y⁷z³)⁰

• 3x²y⁷z³
• 126x²y⁷z³
• 0
• 1