ACT review #3

Which of the following is equal to  $\sqrt{20}$  ?

• 2 $\sqrt{5}$  

• 2 $\sqrt{10}$  

• 4 $\sqrt{5}$  

• 10

•  $\sqrt{2}$  

In the figure below, X is on  $AY$  ,  $\angle XYZ$  measures 45˚, and  $\angle AXZ$  measures 130˚. What is the measure of  $\angle XZY$  ?

• 45˚

• 60˚

• 85˚

• 95˚

• 105˚

What is the slope of the line 5y = -3x + 10 ?

• -3

• $\frac{-3}{5}$

• $\frac{5}{3}$

• 2

• 10

 $x^2\ -\ 7x\ +\ 6\ =\ 6$  What is the least value of x that satisfies the equation?

• -7

• -6

• -4

• 0

• 1

A box of cereal contains  $18\ \frac{3}{4}$  cups of cereal. At most, how many persons can you serve from this box of cereal if each serving must be at least  $\frac{3}{4}$  cup?

• 14

• 18

• 19

• 24

• 25

What is the largest possible product for 2 even integers whose sum is 34?

• 64

• 68

• 120

• 240

• 288

All graphs use the same scale. One of the graphs shows y = 3x + 1. Which graph?

• 
• 
• 
• 
• 

The measures of the angles of a triangle are in the ratio of 2x:3x:5x as illustrated. What is the measure of the smallest angle in the triangle?

• 18˚

• 20˚

• 30˚

• 36˚

• 40˚

There are n students in a class. If, among those students, p% play at least 1 musical instrument, which of the following general expressions represents the number of students who play NO musical instrument?

• np

• .01np

• $\frac{\left(100-p\right)n}{100}$

• $\frac{\left(1-p\right)n}{.01}$

• 100(1-p)n

If x +2y = 1 and 2x + y = 5, then x + y = ?

• 1

• 2

• 3

• 4

• 5