ASVAB Math Knowledge

Two automobiles start together at the same and travel along the same route. The first averages 40 miles per hour, the second averages 55 miles per hour. How many miles further along the route is the second automobile at the end of 5 hours? Answer; 55×5-40×5 Distance =ratetime, A=60 Mph ×3 hours= 180. Find the total thickness of two pieces of wood that a carpenter glued together if one is 5/16 inches thick and the other is 7/8. Answer: 1 3/16 (5/16)+(7/8) = (5/16)+(14/16) = 19/16= 1...

Triangle AREA: 1/2 of base x height A= 1/2bh PERIMETER: a+b+c Square AREA: length x width A= lw PERIMETER: side+side+side+side P=4s Rectangle AREA: length x width A=lw PERIMETER: 2xlength + 2xwidth P= 2l+ 2w Parallelogram & Rhombus AREA: base x height A= bh PERIMETER: 2xlength + 2xwidth P=2l + 2w Trapezoid AREA: sum of 2 bases Divide by 2 x height A= (b1 + b2/ 2) h PERIMETER: a+b1+b2+c Circle C=piD= 2piR A=piR^2 Pi= 3.14 or 22/7 Cube VOLUME: si...

Whole number: Positive numbers including zero. Integer: All positive and negative numbers including zero. Rational number: A number that can be written as a fraction. (numerator and denominator) Real number: All rational and irrational numbers. Example: -1/3 or 10/3 Finding the sums= adding Finding the difference= subtracting Finding the product= multiplying Finding the quotient= dividing A Ratio means it has a: Numerator and Denom...

Whole number: Positive numbers including zero. Integer: All positive and negative numbers including zero. Rational number: A number that can be written as a fraction. (numerator and denominator) Real number: All rational and irrational numbers. Example: -1/3 or 10/3 Finding the sums= adding Finding the difference= subtracting Finding the product= multiplying Finding the quotient= dividing A Ratio means it has a: Numerator and Denom...

Integer An integer is any positive or negative whole number or zero. The ASVAB often requires you to work with integers, such as -6, 0, or 27. Factor Factors are integers (whole numbers) that can be divided evenly into another integer. To factor a number, you simply determine the numbers that you can divide into it. For example, 8 can be divided by the numbers 2 and 4 (in addition to 1 and 8), so 2 and 4 are factors of 8. Composite number is a whole number that can be divided ev...

Mathematics Knowledge - ASVAB (full) test 1: If a = 5/2 then 1/a = A. 2 B. 5 C. 2/5 D. 5/2 C. 2/5 C. Substitute 5/2 for a, giving you 1/a = 1/(5/2) = 1 x 2/5 = 2/5. Mathematics Knowledge - ASVAB (full) test 2: 12 is 15% of what number? A. 0.0125 B. 1.8 C. 18 D. 80 D. 80 D. Let n represent the number. If 12 is 15% of n, then 12 = 0.15n. Divide both sides by 0.15. Therefore, n = 80. Mathematics Knowledge - ASVAB (full) test 3: Evaluate 3x + 7 when x = -3. A. -2 ...

System of equations A set of equations with the same variables. The solution is where they intersect on a graph; substitution or elimination Substitution -3x - 4y = -2 y = 2x - 5 substitute for y -3x - 4(2x - 5) = -2 -3x - 8x + 20 = -2 -11x = -22 {x = 2} substitute for x y = 2(2) - 5 y = 4 - 5 {y = -1} solution = (2,1) Elimination/addition 2x - 3y = 15 5x + 3y = 27 make sure either both x's OR both y's are the same 2x - 3y = 15 5x + 3y = 27 add to get rid of y...

What is the height of a rectangle box with volume of 140, length of 10, and width of 7? 2 If x = square root 3, y = 2, and z = 1/2, then x^2 - 5yz + y^2 = ? 2 Solve for a: a/-2 +20 < -100 a > 240 ( 3d - 7 ) - ( 5 - 2d ) = ? 5d - 12 Which of the following are possible values of x, if x^2 - x - 20 = 0? -4, 5 The following two points lie on a line on the coordinate grid; ( -2, 0) and ( 4, 6). Which of the following is the equation of the line? y = x + ...

1. Which of the following is the smallest prime number greater than 200? 211 2. If 40% is equal to the fraction of x/30, what is the value of x? 12 3. The expression "5 factorial" equals 120 4. What is the result of subtracting 3x² - 5x - 1 from 8x² + 2x + 9? 5x² +7x - 8 5. What is the meaning of the statement -30 < -5 Negative 30 is less than negative 5 6. Solve for x: 8x - 2 - 5x 8=3 1/3 7. A woman has $500 in a bank account. Every week, ...

To change a percent to fraction Multiply the percent by 1/100 and drop the percent sign 5%=5x1/10=5/100 * 100 is always in the bottom To change a percent to a decimal Move decimal point over two places to the left and drop the percent sign 5%=0.05 Inverse operations Opposite operations the opposite of addition is sub Opposite of multiplication is division the inverse of 5 is 1/5 Opposite of a number 5 is a negative 5 Ratio Represent any relationship betwee...