ACT Math Practice Test 34
Thời gian làm bài: 1 giờ
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In the figure below, parallel lines XY and ZW are bisected by line AB. If the lengths of XY,YZ, and ZW are the same, and angle t is 45°, then what is the measure of angle s?
25°
45°
55°
75°
90°
| − 2|2 +|− 5| − 3 = ?
0
6
8
10
13
What is the sum of all the solutions to ?
−3
−2
2
5
8
As shown in the figure below, what is the sine of angle C?
1⁄5
5
For all values, x, y, and z, if x ≤ y and y ≤ z, which of the following CANNOT be true?
I. x = z
II. x > z
III. x < z
I only
II only
III only
I and II only
I, II, and III
Daniel is painting a wall in his bedroom. He can cover 36 square feet with 1 gallon of paint. If the wall is 8 feet high and 12 feet long, how many gallons, to the nearest whole gallon, will Daniel need to paint the wall?
20
16
12
4
3
In the figure below, triangles PQR, PSQ, and QSR are right triangles. If the measure of angle P is 55°, what is the measure of angle R?
35°
45°
55°
75°
65°
If x = 3 is 1 solution for the equation 2x2 −5x −a = 0, what is the value of a?
−2
0
3
5
6
For all x ≠ −3, ?
x − 3
x⁄3
For all x, x2 − (3x − 2) + 2x(4x − 1) = ?
x2 − 5x − 2
9x2 + 5x − 2
9x2 − 5x + 2
8x2 − 3x
9x2 − 4x + 2
A formula for calculating simple interest is I = Pr, were I is the interest earned in dollars, P is the principal or original investment, and r is the fixed rate of interest. If the amount of interest earned is $2.25 and the interest rate is 3%, what is P?
$6.75
$7.50
$13.30
$67.50
$75.00
What is the slope of the line pictured in the standard (x,y) coordinate plane below that passes through (1,3) and (5,5) in the standard (x,y) coordinate plane?
−2
−2⁄5
1⁄5
1⁄2
5⁄3
The figure below represents a solution set for which of the following inequalities?
−2x + 12 < x − 2
4x − 2 ≥ 2x − 3
5x + 5 ≥ x
3x − 1 ≤ 5x + 3
6x − 3 > 3x + 2
In the standard (x,y) coordinate plane, what is the x intercept of a line that has a slope of 2⁄3 and passes through the point (−2,2)?
(−3,0)
(−5,0)
(3,0)
(0,−2)
(2,0)
In the figure below, both circles are centered around X. The length of XY is 2 units and the length of XZ is 6 units. If the smaller circle is cut out of the larger circle, how much of the area, in square units, of the larger circle will remain?
12π
16π
32π
36π
40π
Fifty (50) households were surveyed to determine the number of TVs in each of the households. The number of TVs in each household is shown in the chart below. What is the average number of TVs per household for these 50 households?
1.0
1.3
2.7
3.6
4.2
What is the slope of the line determined by the equation 2x − 3y = 6?
−6
−3
−3⁄2
2⁄3
2
In the standard (x,y) coordinate plane, what is the center of a circle with the equation (x − 2)2 + (y + 1)2 = 4?
(−2,1)
(−2,4)
(2,−1)
(4,−2)
(−2,2)
In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?
6√2
2√6
2√4
2√3
√3
If x2 −3 ≤ 13, what is the greatest real value that x can have?
10
5
4
3
0
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