Question 1
Question
If y2 = (x)1/2, and y = 3, then what is the value of x/3?
Question 2
Question
If 8x + 12y = 24 and 3x + 2y = 8, find 2x - 12y.
Question 3
Question
A line passes through the point (3, 8) and has y-intercept of 2. What is the slope of the line?
Question 4
Question
There are 594 students in the senior class at a particular school and each is required to play at least one sport, but they may also play two. 224 students play soccer and 464 play basketball.
How many students play basketball but not soccer?
Question 5
Question
If x < y < z < 0, then which of the following is true?
I. y - z < 0
II. -y - x < 0
III. -x < -y
Answer
-
I and II
-
I
-
II
-
II and III
-
III
Question 6
Question 7
Question
Evaluate the following:
Question 8
Question
| x | / 6 = 2
If y = 1, then what is x - y?
Answer
-
5
-
-13 or -11
-
-13 or 11
-
12 or 6
-
-12 or 6
Question 9
Question
Consider rectangle ABCD. If AC = 5 and AD = 4, then what is AB + AC?
Question 10
Question
Line m passes through the point (1,2) and is parallel to line n.
Which of the following statements about lines m and n are true?
Answer
-
Lines m and n intersect at a right angle.
-
Lines m and n have the same slope.
-
Lines m and n have opposite reciprocal slopes.
-
Lines m and n intersect at the point (1,2).
-
Lines m and n have 3 points in common.
Question 11
Question
In this trapezoid, BC = 3, CD = 5, and AD = 6.
What is the area of the trapezoid?
Question 12
Question
In the figure above, if angle y measures 110°, what is the measure of angle x, in degrees?
Question 13
Question
What is the value of x in the following sequence:
8, 16, 32, 64, x
Question 14
Question
Line A passes through the point (2,3) and is perpendicular to the line y = -2x + 3.
What is the equation of line A?
Answer
-
y = -1/2x + 5
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y = x + 3
-
y = (1/2)x + 2
-
y = (1/2)x + 3
-
y = 2x - 1
Question 15
Question
Solve for x:
|3x - 6| < 11
Answer
-
x > -5/3
-
x > 5/3
-
x < -5/3
-
-5/3 < x < 17/3
-
-17/3 < x < 17/3
Question 16
Question
x(4 + 1) + y(7 - 2) = ?
Answer
-
5x + y
-
5x - y
-
5y + x
-
5(x - y)
-
5(x + y)
Question 17
Question
If f(x) = 4x2 - 2x + 2, what does f((x - 2) / 2) equal?
Answer
-
x2 - 5x + 8
-
(x2 / 2) - 5x + 4
-
2x2 - 9x + 8
-
x2 - 5x + 4
-
2x2 - 5x + 8
Question 18
Question
A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory.
There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, twice; and each sophomore's name, once.
What is the probability that a senior's name will be chosen?
Answer
-
1 / 9
-
3 / 8
-
2 / 7
-
1 / 8
-
2 / 9
Question 19
Question
Find an equation for the line that is parallel to the line 3x + 6y = 12 and has the point (3, 4).
Answer
-
y = (-1/2)x + (11/2)
-
y = (-1/2)x + 2
-
y = 2x - 2
-
y = (1/2)x + (11/2)
-
y = -2x - 2
Question 20
Question
Find the median of the following set of numbers:
4, 5, 5, 14, 15, 12, 22