ACT Math Practice Test 16
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A right triangle that has sides measured in the same unit of length is shown below. For any such triangle, (tan α)(sin β) is equivalent to:
x⁄z
x2⁄z2
z⁄y
z⁄y2
z2⁄x
Three years ago, the population of a certain species of bird was calculated at 20 birds per acre. This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what percentage has the bird population in the biologist’s sample decreased over the last 3 years, to the nearest tenth?
14.7%
27.7%
38.3%
42.6%
72.3%
The figure above shows the plan for the ground floor of a townhouse. The thickness of the walls should be ignored when answering the questions. The dimensions shown are in feet, and each region is rectangular
What is the perimeter, in feet, of the ground floor of the townhouse?
76
80
92
180
360
The figure above shows the plan for the ground floor of a townhouse. The thickness of the walls should be ignored when answering the questions. The dimensions shown are in feet, and each region is rectangular
What is the area, in square feet, of the living room?
360
280
216
168
120
Given that y − 5 = 1⁄2x + 1 is the equation of a line, at what point does the line cross the x axis?
−15
−12
1
4
6
If the inequality |m| > |n| is true, then which of the following must be true?
m = n
m ≠ n
m < n
m > n
m > 0
If x + y = 13 and 2y = 16, what is the value of x?
4
5
7
8
9
What number can you add to the numerator and denominator of 5⁄8 to get 1⁄2?
−5
−3
−2
0
1
Which of the following is the least common denominator for the expression below?
b × c
a × b × c
a2 × b × c
a2 × b2 × c2
a2 × b4 × c5
What is the slope of the line given by the equation 21x − 3y + 18 = 0?
−7
−3
6⁄7
7⁄6
7
Amy can run 3.5 miles in x minutes. At that pace, how many minutes would it take her to run 10.5 miles?
10.5x
7x
4x
3.5x
3x
Which one of the following lines has the smallest slope?
y = x + 6
y = 2x + 10
y = 1⁄2x − 1
5y = 15x + 4
7y = 3x − 7
What is the slope of any line parallel to the y-axis in the (x, y) coordinate plane?
−1
0
1
Undefined
Cannot be determined from the given information
What value of t will satisfy the equation 0.1(t + 3, 420) = t?
−3,420
−313.64
313.64
342
380
If |5−2x|>5, which of the following is a possible value of x?
2
3
4
5
6
In a certain music store, CDs were put on display and assigned prices for May. Each month after that, the price was 20% less than the price for the previous month. If the price of a CD was d dollars in May, what was the price in August?
0.2d
0.3d
0.512d
0.64d
0.8d
If a2x⁄ay = a4 for all a ≠ 0, which of the following must be true?
= 4
x × y = 4
x + y = 4
x − y = 4
x ÷ y = 4
In the (x, y) coordinate plane, what is the y-intercept of the line 5x + 3y = 8?
8⁄3
3
5⁄3
3⁄5
-5⁄3
If cos A = 4⁄5, and sin A = 3⁄5, then tan A = ?
3⁄4
3⁄5
4⁄5
4⁄3
4⁄5
For all x > 0,1⁄x + 3⁄4 = ?
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