Geometry/Lines
One angle of a triangle has a measure of 72 degrees. Which can the be measures of the other two angles?
A) 72, 36
B) 90, 45
C) 60, 60
D) 63, 48
E) None of the above
A) 72, 36
Simplify
((5x^{2}y)^{3}) / (25y^{-7}x^{4})
A) 5
B) (5x)/y
C) 5x^{2}y^{-7}
D) 5x^{2}y^{10}
E) 25
D) 5x^{2}y^{10}
If f(x) = 3x - 5, what is the value of f(4)?
A) 4
B) 5
C) 6
D) 7
E) 8
D) 7
Sarah's scores on her first three math tests are 80, 85, and 90. What score does she need on her fourth test to have a mean of exactly 85?
A) 95
B) 85
C) 75
D) 65
E) 55
B) 85
Solve for x.
3x - 4 = 17
A) 21
B) 17
C) 7
D) 6
E) 20
C) 7
Two parallel lines are cut by a transversal. If one of the exterior angles has a measure of 117 degrees, what is the measure of its alternate exterior angle?
A) 63 degrees
B) 117 degrees
C) 90 degrees
D) 180 degrees
E) 57 degrees
B) 117 degrees
Simplify (the "x" represents a multiplication symbol)
(2^{3})^{2} x 2^{-4}
A) 2^{4}
B) 2
C) 2^{2}
D) 2x
E) 2^{3}
C) 2^{2}
The symbol # is defined as a#b = a^{2} + 2b. What is the value of 3#4?
A) 17
B) 20
C) 16
D) 25
E) 10
A) 17
Tim has 3 times as many marbles as Leo. Together, they have a total of 60 marbles. How many marbles does Tim have?
A) 45
B) 15
C) 60
D) 39
E) 30
A) 45
Solve for x.
5x + 2 = 3x + 10
A) -2
B) 8
C) 4
D) 5
E) 20
C) 4
Which of the following could be the lengths of the sides of a triangle?
A) 5, 5, 10
B) 7, 4, 5
C) 4, 2, 6
D) 7, 4, 13
E) None of the above
B) 7, 4, 5
Solve for the value of x if
(2^{x})(2^{4}) = 2^{12}
A) x = 4
B) x = 8
C) x = 7
D) x = 15
E) x = 5
B) x = 8
Given g(x) = x/2 +7, find the value of x when g(x) = 11.
A) 19
B) 8
C) 6
D) 11
E) 16
B) 8
A jacket originally costs $80. During a holiday sale, its price is decreased by 20%. Then, Mary uses a coupon that gets her 15% off the sale price of the jacket. How much does Mary pay for the jacket?
A) $72.50
B) $55.62
C) $36.44
D) $54.40
E) $60
D) $54.40
Solve for x.
x/4 + x/3 = 7
A) 12
B) 7
C) 84
D) 1
E) 11
A) 12
The length of a rectangle is 3 times is width. If the area of the rectangle is 48 ft, what is the perimeter of the rectangle?
A) 32 ft
B) 16 ft
C) 30 ft
D) 45 ft
E) 27 ft
A) 32 ft
If x = 3, what is the value of
(3^{x+2}) / (3^{x-1})
A) 27
B) 9
C) 15
D) 1
E) 21
A) 27
If h(x) = 2x - 3, what is the value of h(h(2))?
A) 2
B) -1
C) -5
D) 3
E) -17
B) -1
The ratio of boys to girls in a class is 3 : 5. If there are 40 girls in the class, what is the total number of members in the club?
A) 45
B) 65
C) 64
D) 24
E) 33
C) 64
Solve this system of equations
x + y = 15
x - y = 5
A) (5,10)
B) (3,5)
C) (5,5)
D) (10,5)
E) (10,10)
D) (10,5)
The total of the measures of all the angles of an octagon is
A) 180 degrees
B) 1080 degrees
C) 720 degrees
D) 360 degrees
E) 540 degrees
B) 1080 degrees
Which of the following is equivalent to 16^{3}?
A) 2^{3}
B) 4^{6}
C) 8^{2}
D) 2^{12}
E) 4^{3}
D) 2^{12}
If f(x) = kx + 4 and f(3) = 19, what is the value of f(-1)?
A) 15
B) -1
C) -5
D) 0
E) -15
B) -1
A farm contains only chickens and cows. Counting the animals' heads, there are 35 animals. Counting the animals' feet, there are 110 feet. How many cows are on the farm?
A) 20
B) 40
C) 70
D) 35
E) 50
A) 20
Solve for x.
(3x-1)/2 - (x+3)/4 = (x+5)/2
A) 3
B) 4
C) 5
D) 6
E) 7
C) 5