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ACT Prep Math
ACT Prep Math
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1
In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (3,8) and (1,-4)
(-2,-12)
(4, -12)
(-1,-6)
(2,2)
2
Which of the following expressions, when evaluated, equals an irrational number
\frac{\sqrt{8}}{\sqrt{2}}
\left(\sqrt{8}\right)^2
\frac{\sqrt{2}}{\sqrt{8}}
\sqrt{2}+\sqrt{8}
3
The table below gives Mario's scoring stats for last season. How many points did Mario score last season in basketball?
213
200
380
190
4
What is the slope of the line through (-2,1) and (2,-5) in the standard (x,y) coordinate plane?
\frac{3}{2}
-1
-\frac{3}{2}
1
5
$40 fee plus $2 per book, or $35 fee plus $3 per book. How many books would it take for the price to be the same?
6
44
1
5
6
Find the value of tan(θ) from the following picture.
\frac{5}{\sqrt{29}}
\frac{2}{5}
\frac{\sqrt{29}}{2}
\frac{2}{\sqrt{29}}
7
The fine for speeding is $17 per mph over the speed limit. Kirk was fined $221 for speeding in a 30mph road. His speed?
43
13
47
17
8
For which of the following conditions will the sum of integers m and n alway be an odd integer?
m and n are both odd
n is an odd integer
m is an odd integer
m is odd and n is even
9
Which of the following transformations, when applied to the graph y=|x|, results in the graph of y=|x-6|
Translation down 6 coordinate units
Translation to the left 6 coordinate units
Translation to the right 6 coordinate units
Translation up 6 coordinate units
10
What is the period of the function f(x)=csc(4x)
\frac{\pi}{2}
π
\frac{\pi}{4}
2π
11
In the standard (x, y) coordinate plane, what is the slope of the line given by the equation 4x=7y+5
\frac{7}{4}
\frac{4}{7}
4
-\frac{4}{7}
12
The equation |2x-8|+3=5has 2 solutions. Those solutions are equal to which pair of equations?
2x-5=5 -2x-5=-5
2x-8=2 -(2x-8)-8
2x-8=2 -2x-8=2
2x-8=2 -(2x-8)=2
13
The 3rd and 4th terms of an arithmetic sequence are 13 and 18 respectively. What is the 50th term?
253
248
263
250
14
What is the value of the expression? ||-8+4|-|3-9||
-2
2
18
-18
15
A rectangular floor is 15 feet by 21 feet. What is the area of the floor in
square yards
?
24
105
315
35
16
Maria ate \frac{2}{9}of a pizza. Her 3 brothers got the rest of the pizza. How much did each brother get if split evenly
\frac{1}{3}
\frac{7}{27}
\frac{3}{7}
\frac{7}{9}
17
What is the area, in square coordinate units, of the region bounded by the graph of y=f(x), the positive x&y axis
10
13
14
15
18
Sum of two numbers equals 151. Lesser is 19 more than square root of bigger. What is the value of big-small?
85
91
66
121
19
8% of 60 is \frac{1}{5}of what number?
24
240
12
3750
20
When x=\frac{1}{2}, what is the value of \frac{8x-3}{x}?
\frac{1}{2}
2
5
\frac{5}{2}