ASVAB Math test|80 questions with verified correct answers.

integer any positive or negative whole number or zero, such as −6, 0, 27 factor 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. composite number a whole number that can be divided evenly by itself and by 1, as well as by one or more other whole numbers prime number a whole number that can be divided evenly by itself and by 1 but not by any other number exponent a shorthand method of indicating repeated multiplication, for example 15×15 can also be expressed as 15² base a number that's used as a factor at least two times-its a number raised to an exponent. for example the base of 4³ is 4 square root the number that, when multiplied by itself equals the original number, for example the square root of 36 is 6, if you square 6 or multiply it by itself you produce 36 factorial is represented by an exclamation point, you calculate a factorial by finding the product of (multiplying) a whole number and all the whole numbers less than it down to 1, so 6 factorial is 6×5×4×3×2×1 reciprocal the number by which another number can be multiplied to produce 1, if you have a fraction its reciprocal is that fraction turned upside down sum when you add two numbers together, you arrive at a difference when you subtract, all that remains is a product when you multiply, you come up with a quotient when you divide, you're left with a order of operations step 1 parentheses take precedence, you should do everything contained in parentheses first order of operations step 2 exponents come next order of operations step 3 multiplication and division order of operations step 4 addition and subtraction are last dividing a fraction the same thing as multiplying it by the inverse (reciprocal) of that number to change a fraction into a decimal divide the numerator by the denominator to change a decimal into a percent move the decimal point two spaces to the right and add a percent sign, for example 0.6 becomes 60% to change a percent to a decimal drop the percent sign and move the decimal point two places to the left, adding zeros as needed. dividing the number of miles by the amount of gas how do you figure out your gas mileage ratio shows a relationship between two things, if Margaret invested in her tattoo parlor at a 2:1 ratio to her partner Julie, then Margaret put in $2 for every $1 that Julie put in 1/250=m/1,250 (1,250×)1/250=m/1,250(×1,250) 1,250/250=m m=5 If the scale on a road map is 1inch=250 miles, how many inches would represent 1,250 miles? rate a fixed quantity,a 5% interest rate for example simple interest formula principle (the initial amount invested) × rate × time distance formula rate (speed) × time rate formula distance ÷ time irrational numbers whole numbers that have square roots that are decimals that go on forever and have no pattern that repeats √ square root: radical sign square root the factor of a number that when multiplied by itself produces the number 3×3×3 the cube root of 27 2×2×2×2 the fourth root of 16 quadratic equation an equation that includes the square of a variable degrees and (not very often) minutes or even seconds, 1 degree equals 60 minutes, and 1 minute equals 60 seconds arcs of a circle and angles are measured in 360°, any arc that isn't a complete circle measures less than 360° a circle has ___ degrees a quadrilateral a shape with four sides, has angles that add up to 360° 180° a straight line is ___° 90° a right angle is exactly ___° 0°, 90° an acute angle is more than ___° but less than ___° 90°, 180° an obtuse angle is more than ___° but less than ___° complementary angles are two angles that equal 90° when added together supplementary angles are two angles that equal 180° when added together triangle consists of three straight side whose three angles always add up to 180° equilateral triangle has three equal sides, each of the angles measures 60° right triangle has one right angle, therefore the remaining two angles are complementary hypotenuse the side opposite the right angle which is the longest side of a right triangle pythagorean theorem if you know the lengths of two sides of a right triangle, you can determine the length of the thrid side using the formula a² ⁺ b² = c², where a and b represent the legs and c is the hypotenuse add together the lengths of the three sides to find the perimeter of a triangle 1/2bh or the ___ of a triangle is 1/2 the product of the base and the height to find the area of a triangle square a quadrilateral with four sides of equal length, and all the angles are right angles rectangle a quadrilateral that have all right angles parallelogram a quadrilateral that has opposite sides that are parallel, and their opposite sides and angles are equal. the angles don't have to be right angles. rhombuse a quadrilateral that has four sides of equal length, but the angles don't have to be right angles trapezoid a quadrilateral that has exactly two sides that are parallel two times the length plus the width or 2(l⁺w) perimeter of a rectangle