Mathematics Knowledge
High-school-level algebra and geometry, including equations, exponents, and geometric formulas.
~20m
Practice this sectionPractice Questions
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What's the volume of a box measuring 12- inches long by 8-inches deep by 10-inches high?
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The sum of the measures of the angles of a parallelogram is:
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What is the prime factorization of 100?
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9 is an example of a(an):
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If b - 3 = 7, then b is equal to
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What is the product of (z + 2) (2z - 3)?
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The suburb of Hewitt has a private subdivision that has a pool in the shape of a quadrilateral. If the subdivision wants to put a lifeguard on each side of the pool, how many lifeguards will be needed?
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If you cut the largest possible circular tabletop from a square whose sides measure two feet each, how much wood is wasted? (Use 3.14 for pi-)
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Solveforx:3x+2 = -13.
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An artist sold 4 of his paintings. These represented 0.05 of all the artwork he had done. How many paintings had he made at that point?
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One of the equal angles of an isosceles triangle is 40 degrees. What is thi angle opposite the unequal side?
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If you divide 24x3 + 16x2 8x by 8x, how many x's will be there in the quotient?
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A room is 19 feet long, 10 feet wide, and 8 feet high. If you want to paint the walls and ceiling, how many square feet of surface will you have tC. ver with paint?
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If a car traveled 200 miles at an average rate of speed of r miles per hour, the time it took for the trip could be written as
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An equilateral triangle has the same perimeter as a square whose side is 12 inches. What is the length of a side of the triangle?
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What is the value of (0.1)3?
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How many inches are contained in/feet and / inches?
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A good rule of thumb is that a house should cost no more than 214 times its owner's income. I low much should you be earning to afford a $64,000 home?
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What is the value of (+2)(-5X+3)(-3)?
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Solve for x:x2 = 3x + 10.
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Which of these is a cylinder?
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What is the reciprocal of 5/3?
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What is the value of (V13)2 ?
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Mr. Langendorfer drove his car steadily at 40 miles per hour for 120 miles. He then increased his speed and drove the next 120 miles at 60 miles per hour. What was his average speed?
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An architect designs two walls of a museum to meet at an angle of 120 degrees. What is an angle of this size called?
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Solve the following equations for .v. 5x + 4y = 27 x-2y=11
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If a is a negative number, and ab is a positive number, then which of the following must be true?
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Solve the following inequality. x + 5 > 7
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What is 4% of 0.0375?
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What number multiplied by 2/3 will give a product of 1?
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What is the value of the expression x2 - 5xy + 2y if x = 3 and y = -2?
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Solve the following inequality: .r - 3 < 14.
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The value of 8° is
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If 2x- 3 = 37, what is the value of x?
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An audience consists of M people, and 2/3 of the audience are adults. C the adults, 1/2 are males. How many adult males are in the audience?
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What is the maximum number of boxes, each measuring 3 inches by 4 inches by 5 inches, that an be packed into a storage space measuring 1 foot by 2 feet by 2 feet, 1 inch?
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There are 12 liters of a mixture of acetone in alcohol that is 33 % acetone. 1 low many liters of alcohol must be added to the mixture to reduce it to a mixture containing 25% acetone?
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If x = 8, what's the value of y in the equation y = (x2 ÷ 4) 2?
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The cube of 5 is:
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2.5 × 33 =
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The fourth root of 16 is:
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What's the equation of a line that passes through points (0, -1) and (2, 3)?
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(12 yards + 14 feet) ÷ 5 =
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x3 × x4 =
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(x + 4)(x + 2) =
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1.5 × 103 =
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Which of the following is a prime number?
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What's the mode of the following series of numbers? 4 4 8 8 8 10 10 12 12
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If a = 4, then a3 ÷ a =
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Solve for the factorial of 5 (5!):
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What is the value of (0.2)3?
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If x2 + x = 6, what is the value of x?
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The expression x2 + 2x -3 / x +3 cannot be evaluated if .v has a value of
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Solve the following equation for7: ay - bx = 2.
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For a special operations air assualt mission, one extra soldier for the security element is to be chosen at random from among three soldiers from the 327th Infantry Regiment, two soldiers from the 502nd Infantry Regiment, and five soldiers from the 187th Infantry Regiment. What is the probability that a soldier from the 327th Infantry Regiment will be chosen?
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A cylindrical post has a cross section that is a circle with a radius of 3 inches. A piece of cord can be wound around it exactly seven times. I low long is the piece of cord? (Use 22/7 as the value of n.)
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A naval task force is to be made up of a destroyer, a supply ship, and a submarine. If four destroyers, two supply ships, and three submarines are available from which to choose, how many different combinations are possible for the task force?
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The base of a cylindrical can is a circle whose diameter is 2 inches. Its height is 7 inches. How many cubic inches are there in the volume of the can? (Use 22/7 for the value of n).
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If x = 2, then xx × x =
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If (5 + 1)(6 ÷ 3)(8 5) = (3 + 3)x, then x =
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49 × 64 =
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Which of the following fractions is the largest?
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If 2 + x 4, what is the value of x ?
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If a circle has a radius of 12 feet, what's its circumference most nearly?
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An aquarium measures 16-inches long x 8-inches deep x 18-inches high. What's its volume?
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The sum of the measures of the angles of a trapezoid is:
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Convert 24% to a fraction.
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x2 × x4 =
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If a rectangle has a perimeter of 36 feet, and it's 4-feet wide, what's its area?
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Convert 314,000 to scientific notation.
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The reciprocal of 1/6 is:
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If 0.05 ÷ x = 1, then x =
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Factor x2 6x + 9.
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(3 × 2)(7 2)(6 + 2) = (6 × 4)x. What's the value of x?
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Solve for x: 2x 6 = x + 5
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If I = prt, and p = $1,000, r = 7%, and t = 1, what does I equal?
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x + y = 6 and x y = 4. Solve for x.
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Solve for y: 4(y + 3) + 7 = 3
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12 yards + 14 feet ÷ by 2 =
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x3 × x3 =
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41/5 + 12/5 + 33/10 =
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1.5 × 102 =
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(900 × 2) ÷ 6 =
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The cube root of 64 is:
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A circle has a radius of 5 inches. What's its approximate area?
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Solve the following inequity: 2/3(6x 9) + 4 > 5x + 1
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A tube has a radius of 3 inches and a height of 5 inches. What's its approximate volume?
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Solve for x: -x2 x + 30 = 0
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A square box has a volume of 64 cubic inches. What's its perimeter?
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A cube has a volume of 64 cubic inches. What's its surface area?
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(x3)3 = ?
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4! =
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If a3 + b3 = a3 + x3, then b =
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3(2x 5) 2(4x + 1) = 5(x + 3) 2
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A cube has a volume of 64-cubic inches. What's the length of one side of the cube?
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(x3)2 =
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If I inches of rain fall in one minute, how many inches fall in H hours?
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If x = y, 6 + 4 (x y) =
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A circle measures 12 feet in diameter. What's its area to the nearest foot?
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A square box has 6-inch sides. What's its volume?
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A cylinder has a diameter of 10 inches. What's its approximate area?
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A cylinder has a diameter of 12 inches and a height of 10 inches. What's its approximate volume?
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820 is a number between:
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(x + 2)(x + 2) =
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What's the sum of the integers from 1 to 300?
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(y2)3 =
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If y = 6, then 2y × y =
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If 0.05x = 1, then x equals:
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25x2 =
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Factor 9x3 + 18x2 x 2
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Solve for x: 5x + 7 = 6(x 2) 4(2x 3)
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x × x2 =
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(5 + x)2 =
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(3 × 3)(5 3)(6 + 2) = x2. What's the value of x?
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If 5x = 25, x equals:
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Evaluate the expression 6a 3x 2y, if a = 3, x = 7, and y = 4.
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(x + 4)(3x + 5) =
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Solve for x: 5x 2x = 7x + 2x 24
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The cube of 6 is
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In the equation 3x + 7y =21, at what point is the x-axis intersected?
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The average of 54, 61, 70, and 75 is:
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2 feet 4 inches + 4 feet 8 inches =
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If x = 4, then x4 ÷ x =
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Solve for x: 5 3x 14 + 6x
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(900 × 3) ÷ 6 =
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If x = 2, then xx × xx =
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Solve for x: x2 2x 15 = 0
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49 ÷ 64 =
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If 5y2 = 80, y is:
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If 2 + x 15, what's the value of x?
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If a circle has a radius of 15 feet, what is its circumference most nearly?
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