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Questions and Answers
Questions and Answers
If x = 8, what's the value of y in the equation $y = (x^2 ÷ 4) − 2$?
If x = 8, what's the value of y in the equation $y = (x^2 ÷ 4) − 2$?
- 20
- 14 (correct)
- 18
- 16
The cube of 5 is:
The cube of 5 is:
- 50
- 125 (correct)
- 25
- 15
What is $2.5 × 33$?
What is $2.5 × 33$?
- 675.0
- 22.5
- 75.0
- 67.5 (correct)
The fourth root of 16 is:
The fourth root of 16 is:
What's the equation of a line that passes through points (0, -1) and (2, 3)?
What's the equation of a line that passes through points (0, -1) and (2, 3)?
(12 yards + 14 feet) ÷ 5 =
(12 yards + 14 feet) ÷ 5 =
What is $x^3 × x^4$?
What is $x^3 × x^4$?
What is $(x + 4)(x + 2)$?
What is $(x + 4)(x + 2)$?
What is $1.5 × 10^3$?
What is $1.5 × 10^3$?
Which of the following is a prime number?
Which of the following is a prime number?
What's the mode of the following series of numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12
What's the mode of the following series of numbers? 4, 4, 8, 8, 8, 10, 10, 12, 12
If a = 4, then $a^3 ÷ a$ is:
If a = 4, then $a^3 ÷ a$ is:
Solve: $5!$
Solve: $5!$
What is $(900 × 2) ÷ 6$?
What is $(900 × 2) ÷ 6$?
If x = 2, then $x^x(x)$ is:
If x = 2, then $x^x(x)$ is:
If $(5 + 1)(6 ÷ 3)(8 − 5) = (3 + 3)x$, then what is x?
If $(5 + 1)(6 ÷ 3)(8 − 5) = (3 + 3)x$, then what is x?
What is $√49 × √64$?
What is $√49 × √64$?
Which of the following fractions is the largest?
Which of the following fractions is the largest?
If $2 + x ≥ 4$, then what is x ≥?
If $2 + x ≥ 4$, then what is x ≥?
If a circle has a radius of 12 feet, what's its circumference most nearly?
If a circle has a radius of 12 feet, what's its circumference most nearly?
An aquarium measures 16-inches long × 8-inches deep × 18-inches high. What's its volume?
An aquarium measures 16-inches long × 8-inches deep × 18-inches high. What's its volume?
Triangle ABC is a(n):
Triangle ABC is a(n):
The sum of the measures of the angles of a trapezoid is:
The sum of the measures of the angles of a trapezoid is:
Angles 1 and 2 are:
Angles 1 and 2 are:
Convert 24% to a fraction:
Convert 24% to a fraction:
A cube has a volume of 64 cubic inches. What's its surface area?
A cube has a volume of 64 cubic inches. What's its surface area?
What's the sum of the integers from 1 to 300?
What's the sum of the integers from 1 to 300?
Questions and Answers
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Mathematics Knowledge Practice Notes
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To find the value of ( y ) in the equation ( y = \left(\frac{x^2}{4}\right) - 2 ) with ( x = 8 ), calculate to find ( y = 14 ).
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The cube of a number is calculated by multiplying the number by itself three times; thus, ( 5^3 = 125 ).
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To calculate ( 2.5 \times 33 ), perform multiplication to get 67.5.
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The fourth root of 16 is the number that, when raised to the power of four, equals 16; therefore, it is 2.
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A line that passes through points (0, -1) and (2, 3) has the equation ( y = 2x - 1 ).
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To add 12 yards and 14 feet, convert yards to feet, compute ( \frac{(12 \times 3) + 14}{5} ), resulting in 10 feet.
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The multiplication of powers of the same base can be simplified; ( x^3 \times x^4 = x^{(3+4)} = x^7 ).
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The expression ( (x + 4)(x + 2) ) can be expanded to ( x^2 + 6x + 8 ).
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( 1.5 \times 10^3 ) results in ( 1,500 ).
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A prime number is defined as a number greater than one that has no positive divisors other than 1 and itself; 11 is prime.
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The mode of a data set is the number that appears most frequently; in the series 4, 4, 8, 8, 8, 10, 10, 12, 12, the mode is 8.
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If ( a = 4 ), calculating ( \frac{a^3}{a} ) gives ( \frac{64}{4} = 16 ).
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Factorial notation ( 5! ) denotes multiplying all whole numbers from 5 down to 1, yielding 120.
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For the equation ( (900 \times 2) \div 6 ), compute directly to find the answer of 300.
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Evaluating ( x^x(x) ) with ( x = 2 ), results in ( 2^2(2) = 8 ).
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The equation ( (5 + 1)(6 \div 3)(8 - 5) = (3 + 3)x ) simplifies to find ( x = 6 ).
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The product of square roots ( \sqrt{49} \times \sqrt{64} = 7 \times 8 = 56 ).
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To compare fractions and determine the largest, the largest among ( \frac{2}{5}, \frac{3}{8}, \frac{7}{10}, \frac{13}{16} ) is ( \frac{13}{16} ).
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Solving the inequality ( 2 + x \geq 4 ) gives the result ( x \geq 2 ).
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The circumference of a circle can be calculated using the formula ( C = 2\pi r ); with a radius of 12 feet, it approximates to 75 feet.
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The volume of an aquarium measuring 16 inches long, 8 inches deep, and 18 inches high is calculated as ( V = length \times width \times height = 2,304 ) cubic inches.
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Triangle ABC is classified as an equilateral triangle, indicating all sides and angles are equal.
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The total measure of angles in a trapezoid is consistently 360 degrees.
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Angles classified as complementary add up to 90 degrees.
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Converting percentages to fractions: 24% translates to ( \frac{24}{100} = \frac{6}{25} ).
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A cube's volume relates to its side length cubed; given a volume of 64 cubic inches, the surface area is 96 square inches.
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The sum of all integers from 1 to 300 can be derived using the formula for the sum of an arithmetic series, yielding 45,150.
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