ALGEBRUH
SHAPES AND STUFF
WOrdS aRE hArD
This and That
Off to College
100

In 2004, Cindy had $4,000 in a mutual fund account. In 2005, the amount in the same account was $5,000. If the percent increase from 2004 to 2005 was the same as the percent increase from 2005 to 2006, how much did Cindy have in this account in 2006? 

A) $5,800 B) $6,000 C) $6,250 D) $7,500

C) $6,250

100

In the figures above , x=60. How much more is the perimeter of triangle ABC compared with the triangle DEF.

0

100

A blender's rotation rate slows down the more liquid that is added to it. From empty, it goes at around 1,275 rotations per second less than four times the liquid's square height (represented as h). Which of the following equations best represents the appliance's rotation rate B(h)?

  1. 3-4h^2
  2. 1,275-(4-12h)
  3. 1,275-(12h-3)
  4. 1,275-(4h^2-3)
  • 1,275-(4h^2-3)
100

Which of the following is equal to (8 − 2i)(3 + 5i)? 

A) 24 B) 34 C) 14 + 34i D) 34 +34i

D) 34 +34i

100

What is the difference between a grant and a scholarship?

Scholarship is money you don't have to pay back.

200

If A is 2 more than a third of B, which of the following equations accurately gives the value of B in terms of A?

  1. b=a-2/3
  2. b=3(a-2)
  3. b=a+2/3
  4. b=3(a+6)
  • b=3(a-2)
200

In the figure below what is the value of y?

60

200

The value of a car depreciates $3,500 per year. Three years after it was purchased, the car’s value was $20,000. Which equation can be used to find its worth, w in dollars, after depreciating x years after purchase? 

A) w = 30,500 – 3,500x B) w = 23,500 – x C) w = 23,500 – 3,500x 

D) w = 16,500 – 3,500x

A) w = 30,500 – 3,500x

200

a^2 – 26a + 69 = 0 If a – 5 > 0, what is the value of a? 

A) 3 B) 5 C) 18 D) 23

23

200

How many credit hours is usually the limit for when you have to start paying out of state tuition?

120

300

If y = ( 1/4 )x – 5 is parallel to the line y = mx/2 + 3, what is the value of m in decimal form?

.5

300

What is the area of the following square, if the length of BD is 2sqrt2

4

300

h = –16t^2 + 64t + 2 The function gives the height (in feet) of a football after t seconds. Which of the following statements is correct? 

A) The football is kicked from a height of 2 feet. B) The football reaches a maximum height of 64 feet. C) The football hits the ground after 6 seconds. D) It takes 4 seconds for the football to reach its maximum height.

A) The football is kicked from a height of 2 feet.

300

Pick the equation with a vertex of (4,-4)

  1. y=5(x+4)^2-4
  2. y=5(x-4)^2+4
  3. y=5(x-4)^2-4
  4. y=5(x+4)^2+4
  • y=5(x-4)^2-4
300

How many credit hours is the minimum to be considered a full-time student?

12 credit hours

400

Which of the following is equivalent to (15x^2+5x+6y)+(4x^2-2x=4y)?

  1. 3x^2-2x+4y
  2. 19x^2+3x+10y
  3. 19x^2-3x+10y
  4. 19x^2+3x-10y
  • 19x^2+3x+10y
400

     A set of triangles is formed by joining the midpoints of the larger triangles. If the area of �ABC is 128, then the area of �DEF, the smallest triangle formed, is

 (A) 1/8          (B) 1/4          (C) 1/2          (D) 1          (E) 4

1/2

400

South Park Road is closed during the last three months of the year and the first two months of the new year. If n stands for the number of the month (January corresponds to 1, February corresponds to 2, etc.), which of the following equations describes the months during which South Park Road is closed?

 A) |n – 2| ≥ 0 B) |n – 2| ≥ 6 C) |n – 4| ≥ 6 D) |n – 6| ≥ 4

D) |n – 6| ≥ 4

400

If three times a number is equal to that number minus 7, what is the number?

  1. -1.5
  2. 1.5
  3. -3.5
  4. 3.5
  • -3.5
400

True or False. All universities will accept your earned credits.

False.

500

If 2a+3b=26 and 5a+4b=51, what is the value of a+b? 

  1. 8
  2. 9
  3. 10
  4. 11

11

500

The angles shown above are acute and sin( °) = cos( °) a b . If a = 4 − 22 k and b = 6 − 13 k , what is the value of k ? 

A) 4.5 B) 5.5 C) 12.5 D) 21.5

Choice C is correct. Since the angles are acute and sin(a°) = cos(b°), it follows from the complementary angle property of sines and cosines that a + b = 90. Substituting 4k − 22 for a and 6k − 13 for b gives (4k − 22) + (6k − 13) = 90, which simplifies to 10k − 35 = 90. Therefore, 10k = 125, and k = 12.5.

500

The sum of −2x^2 +x + 31 and 3x^2 +7x −8 can be written in the form ax^2+ bx+ c , where a, b, and c are constants. What is the value of a+b+c ?

32

500

− x+ y= −3.5        x+3y = 9.5 If (x y), satisfies the system of equations above, what is the value of y ?

3/2

500

Can you change your major after you declare it? 

When can you declare a minor?

YES, as many times as you want but.....

depends on the university
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