Algebra
Solve for x: 6x - 9 = 4x + 1
A) x= 3
B) x= -4
C) x= 5
D) x= 2
C) x= 5
√64 + √25 =
A) 12
B) 13
C) 17
D) 21
B) 13
Rolling a six-sided dice, what is the probability Todd gets a number less than 4?
A) 1/3
B) 1/2
C) 1/6
D) 2/3
B) 1/2
Given the triangle's height is 8 inches long and the base is 5 inches long, find the area of the triangle:
A) 10 inches
B) 16 inches
C) 20 inches
D) 40 inches
C) 20 inches
If one leg of a triangle is 3 inches and the hypotenuse is 5 inches, what is the length of the other leg?
A) 2 inches
B) 3 inches
C) 4 inches
D) 5 inches
C) 4 inches
What is the slope of a line that passes through (5, 2) and (3, 1)?
A) 2
B) 1/2
C) -1/2
D) 1/3
B) 1/2
If ab = 32, bc = 40, c= 5, which of the following is the value of a?
A) 4
B) 6
C) 8
D) 10
A) 4
A bag contains 11 purple marbles, 11 yellow marbles, 11 red marbles, and 11 black marbles. John begins removing 4 marbles at random from the bag, and the first 4 marbles removed all are purple? What is the probability that the fifth marble removed will also be purple?
A) 7/44
B) 7/40
C) 1/4
D) 5/11
A circle with the equation of x2 + y2 = 49 is graphed in standard (x, y) coordinate plane. At which 2 points does this circle intersect with the x - axis?
A) (-1, 0) and (1, 0)
B) (-7,0) and (7,0)
C) (-14, 0) and (14, 0)
D) (-49, 0) and (49, 0)
B) (-7,0) and (7,0)
Which of the following ratios represents tan?
A) tangent/adjacent
B) opposite/hypotenuse
C) hypotenuse/opposite
D) adjacent/hypotenuse
A) tangent/adjacent
Which of the following is in factored form of the expression 5x2 - 13x -6?
A) (5x + 3) (x - 2)
B) (5x + 2) (x - 3)
C) (5x - 2) (x - 2)
D) (5x - 3) (x - 2)
B) (5x + 2) (x - 3)
The expression (12z10) / (4z2) is the equivalent to:
A) 3z5
B) 8z6
C) 3z8
D) 8z8
C) 3z8
The number of points Julie scores in a basketball game is proportional to the amount of time she practiced this week. Last week, Julie scored 20 points after practicing for 12 hours. How many hours should Julie practice this week if she wants to score 35 points?
A) 7
B) 14
C) 16
D) 21
D) 21
The perimeter of a parallelogram is 70 inches, and one side measures 21 inches. What are the lengths, in inches, of the other three sides?
A. 21, 21, 14
B. 14, 14, 21
C. 21, 21, 17
D. 13, 30, 30
B) 14, 14, 21
In ΔPQR, side PQ is 12 inches long and side QR is 41 inches long. Which of the following CANNOT be the length, in inches, of side PR?
A) 17
B) 30
C) 34
D) 48
A) 17
If 6x + 10y =14 and 3x + 4y = 2, what is the value of 5x + 7y?
A) 5
B) 2
C) -5
D) -2
A) 5
Which of the following is equivalent to the expression: (2 (z +3) -9) / 5 + 4(z + 3)
A) -9/5
B) -9/10
C) (-7z - 21) / (9z + 15)
D) (2z - 3) / (4z + 17)
D) (2z - 3) / (4z + 17)
All 7-digit phone numbers at a university start with the same 3-digit prefix (middle three numbers of a phone number). How many phone numbers can be generated for the university before a new prefix can be used?
A) 107
B) 710
C) 104
D) 94
C) 104
13. The distance around a circular path is 1,000 meters. Which of the following most nearly approximates the radius of the path, in meters? (Note: pi= 3.14)
A. 10
B. 18
C. 32
D. 159
D) 159 meters
Which of the following would be the reciprocal of cosine?
A) cosecant
B) secant
C) cotangent
D) cosine
B) secant
The augmented matrix below could represent which of the following systems of equations?
[ 4 -3] | 13]
[5 2] | 45]
A) 4m + 3n = 13
5m - 2n = 45
B) 5m - 3n = 13
4m + 2n = 45
C) 4m - 3n = 13
5m + 2n = 45
D) 4m + 5m = 13
-3m + 2n =- 45
C) 4m - 3n =13
5m + 2n = 45
If (y.2)a^2 - 20 = y, what is the solution set for a? y does not equal 0.
A) {1}
B) {-√10, √10}
C) {-5, 5}
D) {25}
C) {-5, 5}
A committee will be selected from a group of 12 women and 18 men. The committee will be composed of 5 women and 5 men. Which of the following expressions gives the number of different combinations that could be selected from these 30 people?
A) 30P10
B) (12C5) (18C5)
C) (12P5) (18P5)
D) 30C10
B) (12C5) (18C5)
P: order
C: combinations, order does not necessarily matter.
A carpet company uses the following formula for estimating the number of square feet, A, of carpeting needed for a room x feet by y feet containing a stairway w feet by z feet with n stairs:
A= xy+ w[z(2n-1) + 2n]
What is the company’s estimate for the number of square feet of carpeting needed for a room that is 4 feet by 9 feet containing a stairway that is 7 feet by 7 feet with 8 stairs?
A) 541
B) 647
C) 883
D) 1,016
C) 883
Alex props up a ladder against a wall. The ladder makes an angle of 23° from the ground. If the ladder is 10 feet long, what is the expression for finding the distance the foot of the ladder is from the wall?
A) 10 tan23°
B) 10 sin23°
C) 10 cos23°
D) cos 10/23
C) 10 cos23°