Mathematical Knowledge
Express 7/4 as a percent a. 150% b. 125% c. 75% d. 175%
d. 175%
If x-9=2x+10, what is the value of x? a. -19 b. 19 c. 6.3 d. -6.3
a. -19
Solve for y using the following system of equations: 2x-6y=12 -6x+14y=42 a. -19.5 b. -52.5 c. -2.44 d. 6.56
a. -19.5
9x-3y+8xy-3 If x=10 and y=-2, what is the value of this expression? a. -67 b. -61 c. -79 d. 241
a. -67
If 2x=5x-30, what is the value of x? a. 10 b. -10 c. 4.3 d. -4.3
a. 10
Simplify the following expressions: (2x-20)(5x+10) a. 10x²-80x-200 b. 70x-200 c. 10x²-80x+200 d. 10x²-120x-200
a. 10x²-80x-200
Expand the following expression: (2x-5)(x+7) a. 2x²+9x-35 b. 11x-35 c. 2x²-19x-35 d. 2x²+9x+35
a. 2x²+9x-35
Which of the following lines is parallel to the line y=3x-12? a. 3y-9x=-12 b. y=-1/3-12 c. 12y-36x=-144 d. y+3x+12=0
a. 3y-9x=-12
What is the slope of a line with point A(-15,-4) and point B(15,4)? a. 4/15 b. -4/15 c. 15/4 d. -15/4
a. 4/15
Simplify the following expression: (2x²+3)(2x-1) a. 4x³-2x²+6x-3 b. 2x²+6x-3 c. 4x³-2x²+6x+3 d. 4x³-2x²-6x-3
a. 4x³-2x²+6x-3
If 16x+4=100, what is the value of x? a. 6 b. 7 c. 8 d. 9
a. 6
Solve for x in the following inequality: 4x+23>-3x-6 a. x>-4.14 b. x<-4.14 c. x>4.14 d. x<4.14
a. x>-4.14
A line passes through points A(-3,18) and B(5,2). What is the slope of the line? a. 2 b. -2 c. 1/2 d. -1/2
b. -2
Solve for x using the following systems of equations: 3y+10x=23 18y-15x=50 a. -1.17 b. 1.17 c. -3.75 d. 3.75
b. 1.17
On a six-sided die, each side has a number between 1 and 6. What is that probability of throwing a 3 or a 4? a. 1/6 b. 1/3 c. 1/2 d. 1/4
b. 1/3
If a circle has a diameter of 12cm, what is its area? a. 38cm² b. 113cm² c. 276cm² d. 452cm²
b. 113cm²
7m+43=160 What is the value of m? a. 110.0 b. 16.7 c. 29.8 d. 819.2
b. 16.7
Simplify 9x(3x²+2x-9) a. 27x²+18x-9 b. 27x³+18x²-81x c. 12x³+11x²-x d. 2x³+18x²-18x
b. 27x³+18x²-81x
If the volume of a cube is 8cm³, what is the length of the cube? a. 1cm b. 2cm c. 3cm d. 4cm
b. 2cm
If a rectangle has a length of 5cm and a width of 7cm, what is its area? a. 24cm² b. 35cm² c. 42cm² d. 56cm²
b. 35cm²
3x²y+y/2-6x If x=4 and y=10, what is the value of the expression? a. 221 b. 461 c. 872 d. 1916
b. 461
What is the value of x? x²+12x+36=0 a. x=6 b. x=-6 c. x=6,-6 d. x=0,6
b. x=-6
In the following equation, solve for x by factoring: 2x²-7x=x²-12 a. x=-3,-4 b. x=3,4 c. x=3,-4 d. x=-3,4
b. x=3,4
If 25% of x is 250, what is the value of x? a. 62.5 b. 100 c. 1000 d. 6250
c. 1000
A rectangular prism measures 12cm by 3cm by 9cm. What is its volume? a. 36cm³ b. 108cm³ c. 324cm³ d. 407cm³
c. 324cm³
If w=7, calculate the value of the following expression: 8w²-12w+(4w-5)+6 a. 279 b. 285 c. 337 d. 505
c. 337
A classroom contains 13 boys and 18 girls. If a student's name is chosen randomly, what is the probability it will be a girl's name? a. 36% b. 42% c. 58% d. 72%
c. 58%
If 2x²=-4x²+216, what is the value of x? a. 4 b. 5 c. 6 d. 7
c. 6
What is the value of 6! ? a. 36 b. 120 c. 720 d. 5040
c. 720
If x/3+7=35, what is the value of x? a. 9.33 b. 14 c. 84 d. 126
c. 84
Factor the following expression: 9x²y-18xy-27y a. 9(x²y-2xy-3y) b. 9y(x+3)(x+1) c. 9y(x-3)(x+1) d. 9y(x+3)(x-1)
c. 9y(x-3)(x+1)
x²+x=42 What is the value of x? a. x=-7, -6 b. x= 7, 6 c. x=-7, 6 d. x= 7, -6
c. x=-7, 6
Which of the following lines is perpendicular to the line y=-5x+27? a. y=5x+2 b. y=-1/5x+9 c. y=1/5x+7 d. y=-5x-27
c. y=1/5x+7
Solve for y in the following inequality: -2y≥24+6 a. y≤15 b. y≥15 c. y≤-15 d. y≥-15
c. y≤-15
What is the midpoint of points A(-20,8) and B(5,3)? a. (5.5, 7.5) b. (7.5, 5.5) c. (5.5, -7.5) d. (-7.5, 5.5)
d. (-7.5, 5.5)
If 2x+5x=3x+x+30, what is the value of x? a. 2.72 b. 4.29 c. 6 d. 10
d. 10
The length of a square is 15cm. What is its area? a. 30cm² b. 60cm² c. 150cm² d. 225cm²
d. 225cm²
In the following inequality, solve for x: -4x+8≥48 a. x≥10 b. x≥-10 c. x≤10 d. x≤-10
d. x≤-10
(y+10)²-625=0 Solve for y a. y=615 b. y=-15,15 c. y=-15 d. y=15,-35
d. y=15,-35
In a coordinate plane, what is the distance between point A(4,9) and B(15,18)? a. 9 b. √11 c. 202 d. √202
d. √202
