ACT review #4

If 5a = 25, then  $a^2$  =  ?

• 5

• 20

• 25

• 125

• 625

A rock group gets 30% of the money from sales of their newest compact disc. That 30% is split equally among the 5 group members. If the disc generates $1,000,000 in sales, how much does one group member receive?

• $30,000

• $50,000

• $60,000

• $200,000

• $300,000

If the expression  $x^2\ -\ kx\ -\ 12$  is equal to zero when x  = 4, what is the value of k?

• 7

• 1

• -1

• -3

• -7

If x = 4, then  $\frac{1}{\frac{1}{x}+\frac{1}{2}}$  = ?

•  $\frac{1}{6}$  

•  $\frac{3}{4}$  

•  $\frac{4}{3}$  

• 6

• 8

If  $\frac{5}{u-2}=\frac{15}{u+4}$  , then u = ?

• -3

• -1

• 3

• 4

• 5

What positive value of k would make the lines below parallel in the standard (x,y) coordinate plane?

kx + 2y = 8

18x + ky = 12

• 0

• 2

• 6

• 8

• 12

A circular coin has a radius of  $\frac{3}{8}$  inch. When lying flat, how much area does the coin cover, in square inches?

•  $\frac{3\pi}{4}$  

•  $\frac{3\pi}{16}$  

•  $\frac{6\pi}{16}$  

•  $\frac{9\pi}{8}$  

•  $\frac{9\pi}{64}$  

If the angles  $\angle\ X\ and\ \angle\ Y$  each measure between 0˚ and 90˚, and if sin X = cos Y, what is the sum of the measures of the angles  $\angle\ X\ and\ \angle\ Y$  ?

• 30˚

• 45˚

• 60˚

• 90˚

• 135˚

Lengths for the triangle below are given in feet. What is the value of x?

• 2

• $\sqrt{3}$

• 4

• 5

• $\sqrt{15}$

Which of the following is the graph of the solution set of -2x > 4?

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