AFOQT: Math Knowledge

Out of 75 students, 40 are taking French, 20 are taking German, and 9 are taking both. How many students are not enrolled in either French or German? a. 4 b. 15 c. 24 d. 75 e. 0

b

Which value of x will make the number sentence x + 32 ≤ 14 true? a. -16 b. -21 c. 12 d. 38 e. none of the above

b

if (t-3)/(t-5) = 7 what is the value of t a. 8/3 b. 16/3 c. 18/5 d. 21/5 e. 35/5

b

round 657,258 to the nearest ten thousand and express in scientific notation. a. 6.6 x 10⁴ b. 6.6 x 10⁵ c. 6.57 x 10⁴ d. 6.57 x 10⁵ e. 70 x 10⁴

b

solve for x: (5/8)x-(3/8)x = 3/4 + 1/2 a. 1/4 b. 5 c. 8 d. 15 e. 24

b

solve x for (5/6)x -(1/6)x = 2/3 + 1/2 +5/6 a. 2 b. 3 c. 5 d. 6 e. 7

b

what is the sum of 7x²-4x+8 and 3x²-x+7? a. 10x⁴-4x²+15 b. 10x⁴-5x²+15 c. 10x⁴-5x²-15 d. 10x²-3x+15 e. 10x²-5x+15

e

what is the value of the expression (15x+3y²-5) if x=3 and y =2? a. 0 b. 84 c. 76 d. 64 e. 52

e

how many real solutions are there for the equation: x²-8x+16=0 a. 0 b. 1 c. 2 d. 3 e. 4

1

In this figure, (PQ perpendicular to RS crossing at O), angle POS measures 90 degrees. What is the measure of angle ROQ? a. 45° b. 90° c. 180° d. 270° e. 360°

b

(1/8)³ a. 1/512 b. 1/24 c. 3/24 d. 3/512 e. 9/512

a

(3/5) = a. 0.60 b. 0.20 c. 0.50 d. 0.80 e. 0.90

a

0.97 is equal to a. 97% b. 9.7% c. 0.97% d. 0.087% e. 0.0097%

a

37.5 percent is equal to a. (3/8) b. (5/8) c. 4_(3/4) d. 6_(3/4) e. 3_(7/5)

a

4_(1/5) + 1_(2/5) + 3_(3/10) = a. 8_(9/10) b. 9_(1/10) c. 8_(4/5) d. 8_(8/15) e. 9_(5/10)

a

Calculate the surface area of an object with the dimensions 3'x3'x6'. a. 90 sq ft b. 108 sq ft c. 54 sq ft d. 12 sq ft e. 18 sq ft

a

Given a line that is represented by the equation y=4x+3, which of the following lines is parallel to it? a. -4x + y =12 b. 4x + 27 = 8 c. 2x + y = 6 d. -2x +2y = 6 e. -2x + 2y = 3

a

If (x/54) = (2/9), then x is a. 12 b. 14 c. 18 d. 108 e. 118

a

John sent Douglas y text messages every hour for 5 hours, and peter sent Douglas z text messages every hour for 3 hours. which is the correct way to represent the total number of messages that Douglas received? a. 5y+3z b. 8yz c. 15yz d. 15y +z e. 8 +yz

a

Reduce: 2³⁰ + 2³⁰+ 2³⁰+ 2³⁰ a. 2³² b. 2³⁰ c. 8¹²⁰ d. 8³² e. 10³²

a

The expression (2x+5)³ is equivalent to a. 8x³+60x²+150x+125 b. 8x³+20x²+50x+125 c. x³+20x²+50x+125 d. 4x³+20x²+25 e. 8x³+125²

a

What are the missing integers on this number line? a. -4 and 1 b. -6 and 1 c. -6 and -1 d. 4 and 9 e. 5 and 8

a

Which has the least value? a. 0.0009 b. 0.0108 c. 0.0059 d. 0.2000 e. 0.0010

a

Which of the following choices completes this number sentence? 5___ = (10 x 2) +(5 x 3)? a. x (5 + 2) b. + (5 + 2) c. x (5 x 2) d. + (5 x 2) e. + (5 x 3)

a

Which of these is equivalent to 20°C? (F=(9/5)C+32)? a. 68°F b. 95°F c. 45°F d. 19°F e. 70°F

a

if (a+b)/(a-b) = 9/7, then ___ must also be true a. a/b = 8 b. a/b = -8 c. (a+2b)/(a-b) = 10/7 d. b-a = -7 e. b-a = 7

a

solve for x: (x+2)/(x+1) = 5 a. -3/4 b. 3/4 c. -3 d. 1 e. 3

a

test 3 question 5 skipped dues to the use of required visual

a

0.15 is equal to a. (2/5) b. (3/20) c. (2/10) d. (1/20) e. (1.5/20)

b

1/2(bxh) is the formula for a. the are of a circle b. the area of a triangle c. the area of a parallelogram d. the volume of a cube e. the volume of a rectangle

b

76_(1/2) + 11_(5/6) = a. 87_(1/2) b. 88_(1/3) c. 88_(2/3) d. 88_(5/6) e. 89

b

An oil storage container is a right circular cylinder with a diameter of 20 meters and a height of 8 meters. what it the volume of the container in cubic meters? a. 640π b. 800π c. 1,280π d. 3,200π e. 3,400π

b

Calculate the area of a rectangle whose triangle has a hypotenuse of 5" and base of 3" a. 4 sq in b. 12 sq in c. 14 sq in d. 16 sq in e. 60 sq in

b

How many inches are in 3_(1/3) yard? a. 126 b. 120 c. 160 d. 168 e. 313

b

An elementary school is holding a bake sale to fund student activities. Cookies cost $2 each and brownies cost $3 each. The school hopes to earn a minimum of $500, and students have provided a total of 400 items to sell. which of the following systems of equations yields the number of cookies and brownies that the school needs to sell to meet its goal? a. b + c < 400; 3c + 2b > 500 b. b + c ≤ 400; 3c + 2b ≤ 500 c. b + c ≤ 400; 2c + 3b ≥ 500 d. b + c < 400; 2c + 3b < 500 e. b + c ≥ 400; 2c + 3b ≥ 500

c

Anne's hotel room costs $99.99 per night, plus 7% tax, and a flat fee of $10.00 per stay. If Anne stays for 6 nights, how much will she owe? a. $52 b. $641.94 c. $651.94 d. $652.00 e. $1029.99

c

If 12+3x is 10 more than 17, what is the value of 4x? a. 3 b. 5 c. 20 d. 40 e. 47

c

In a triangle, angle A is 70 degrees and angle B is 30 degrees. What is the measure of angle C? a. 30° b. 70° c. 80° d. 100° e. 120°

c

What is another way to write 4 x 4 x 4? a. 3 x 4 b. 8 x 4 c. 4^3 d. 3^4 e. 8^3

c

What is another way to write 7.25 x 10³? a. 72.5 b. 725 c. 7,250 d. 72,500 e. 720,500

c

What is the length of a rectangle if its width is 6 feet and its area is 108 square feet? a. 1.8 ft b. 10.5 ft c. 18 ft d. 16 ft e. 68 ft

c

What is the total surface area of an eleven foot tall cylinder with a base radius of 8 feet, rounded to the nearest whole number? a. 176π sq ft b. 304 sq ft c. 995 sq ft d. 955π sq ft e. 1007 sq ft

c

What is the volume of a pyramid that has a rectangular base 5 feet by 3 feet and a height of 8 feet? (V + (1/3)lwh) a. 16ft³ b. 30ft³ c. 40 ft³ d. 120 ft³ e. 220 ft³

c

Which of the following is equivalent to 202,436? a. 20,000 + 2,000 + 400 + 30 + 6 b. 2,000 + 40 + 300 + 6 c. 200,000 + 2,000 + 400 + 30 + 6 d. 200,000 + 2,000 + 4,000 + 30 + 6 e. 200,000 + 12,000 + 4,000 + 300 + 6

c

Which of the following numbers is a prime number a. 6 b. 4 c. 2 d. 0 e. -1

c

a swimming pool is 3 meters deep. its length is 4 meters longer than twice its width. If the pool can hold 60 cubic meters of water which of the following equations can be used to find the width(w) of the pool a. w²+2w+10=0 b. w²+4w+20=0 c. w²+2w-10=0 d. w²+2w-20=0 e. w²+2w-60=0

c

if y= 5x+b represents a line on the xy plane with y intercept b, and the lines passes through the point (-1,-2), what is the value of b a. -9 b. -7 c. 3 d. 7 e. 9

c

the sum of the internal angles of an isosceles triangle is a. 45° b. 90° c. 180° d. 270° e. 360°

c

which number has a greater value? a. 1/10 b. 2/10 c. 2/2 d. 5/10 e. 5/100

c

π = a. 3.15 b. 3.141593 c. 3.141592 d. 4.151592 e. 5.141592

c

(1/6) + (7/12) + (2/3) = a. (10/24) b. 2_(1/6) c. 1_(5/6) d. 1_(5/12) e. 2_(5/6)

d

(7/8)-(2/3)+(1/5) = a. 6/5 b. 3/5 c. 5/8 d. 49/120 e. 1/120

d

1_(1/2) is equal to a. 0.50 b. 1.25 c. 2.50 d. 1.50 e. .150

d

B=12A/(a+A); solve for A. a. Ba/(a-B) b. Ba-12 c. B/a-12 d. Ba/(12-B) e. B(a-1)/12

d

Calculate the volume of an object with the dimensions 3'x3'x6' a. 18 cubic ft b. 90 cubic ft c. 108 cubic ft d. 54 cubic ft e. 180 cubic ft

d

If (x-1)/2=k and k=4 what is x? a. 2 b. 3 c. 8 d. 9 e. 11

d

Sarah has a budget of $1,000 for a home improvement project. she can buy cans of paint for $50 each and bundles of lumber for $100 each. If she buys at least one can and one bundle, what is the maximum amount of paint that she can afford? a. 4 cans b. 8 cans c. 10 cans d. 18 cans e. 20 cans

d

The mean age of male elephants at a local zoo is 20 years old, while the mean age of all female elephants is 16 years old. Which of the following must be true about the mean age (m) of all elephants at the zoo? a. m = 18 b. m > 18 c. m < 18 d. 16< m < 20 e. m = 18.5

d

What is (3/8) equal to? a. 0.25 b. 0.333 c. 0.60 d. 0.375 e. 3.80

d

What is the decimal equivalent of (1/6) rounded to the nearest thousandth? a. 0.165 b. 0.666 c. 0.123 d. 0.167 e. 0.176

d

Which of the following is divisible by both 7 and 8? a. 63 b. 106 c. 114 d. 112 e. 78

d

convert 6/18 to a percent. a. 90% b. 62% c. 60% d. 33% e. 30%

d

if y(x)=√x²-6), which of the following is equivalent of y(y(x))? a. √x²-6) b. √x²-6) c. √x²-6) - 6 d. √x²-12) e. √(x²-6²)-6)

d

what is the least possible value for c if 5c-12≥8 a. 1 b. 2 c. 3 d. 4 e. 5

d

(3/4) is equal to a. 0.25 b. 0.30 c. 0.34 d. 0.50 e. 0.75

e

If the expression (10x²)/(5x-1) is rewritten in an equivalent form as (1/(5x-1))+A, what is the value of A, relative to x? a. 10x² b. 10x²-1 c. 10x²+1 d. 2x-1 e. 2x+1

e

The expression (4x + 3)(5x - 10 ) is equivalent to a. (9x-7) b. 20x²-30 c. 20x²-15x-30 d. 20x²-20x-30 e. 20x²-25x-30

e

Which of the following is not divisible by x-8 a. x⁴(x-8)+17(x-8) b. x³(x-8)+21(x-8) c. x³-13x²+40x d. x²y-64y e. (x-8)(x+2)+6

e

if the area of a circle is 121πft², what is the circumference? a. 121ft b. 11πr² c. 22πr² d. 11π e. 22π

e

solve for x when y=6: y² = √x a. 6 b. 8 c. 64 d. 1,084 e. 1,296

e

solve for x; (10²x)=7 a. 10 b. 7/10 c. 7/20 d. 10/120 e. 7/100

e

solve for y: 10y + 5x = 15z a. (y+x)/3z b. 3xz c. 3 d. (3z-x)/10 e. (3z-x)/2

e