ILTS 305 Math Questions With Verified
Answers
GCF (Greatest Common Factor) - ANSWER-the greatest number that is a factor of two
or more numbers
least common multiple (LCM) - ANSWER-The smallest multiple (other than zero) that
two or more numbers have in common.
fraction - ANSWER-part of a whole
numerator - ANSWER-the top number in a fraction
denominator - ANSWER-The bottom number in a fraction
equivelent fractions - ANSWER-when one fraction is equal to another.
common denominator - ANSWER-A denominator that is the same in two or more
fractions.
Adding and Subtracting Fractions - ANSWER-make denominator same number then
add or subtract across
Multiplying Fractions - ANSWER-1. Multiply the numerators.
2. Multiply the denominators.
Dividing Fractions - ANSWER-To divide fractions, invert the second one and multiply
Multiplying mixed numbers - ANSWER-Change to an improper fraction and multiply;
then change the answer, if in improper form, back to a mixed number and reduce if
necessary.
Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 =
7 6/12 = 7 1/2`
adding and subtracting decimals - ANSWER-Line up the decimal points and proceed as
usual
Multiplying Decimals - ANSWER-Ignore the decimal point until the answer. Count the
number of Decimal places in both factors. Use that number of decimal places to write
the answer.
, Dividing Decimals - ANSWER-Move the decimal to the right on both numbers until there
is nothing to the right of the decimal
percentages - ANSWER-part = (percent / 100) x whole
e.g. 7 + 9 + 4 = 20, what % is 4 of whole.
4/20 = (4x5)/(20x5) = =20%
direct proportion - ANSWER-a relationship between two variables in which their ratio is
constant
inverse proportion - ANSWER-a relation between two quantities such that one
increases in proportion as the other decreases.
ratio - ANSWER-A comparison of two quantities by division
constant of proportionality - ANSWER-the constant ratio in a proportional linear
relationship
slope of line - ANSWER-m = y2-y1/x2-x1
Coefficient - ANSWER-number in front of a variable
linear expression - ANSWER-expression with variables that have an exponent of 1
linear equation - ANSWER-an equation whose graph is a straight line.
Ax+By=C, slope = -A/B, y intercepts = C/B
slope-intercept form - ANSWER-y=mx+b, where m is the slope and b is the y-intercept
of the line.
solving equations with roots - ANSWER-
Inequalities - ANSWER-Algebraic statements that have ≠, <, >, ≤, or ≥ as their symbols
of comparison.
Cartesian Coordinate Plane - ANSWER-a plane divided into four quadrants by the
intersection of the x-axis and the y-axis at the origin
Graphing Inequalities - ANSWER-A solid line means the inequality is ≥ or ≤. A dotted
line means the inequality is > or <.
systems of equations - ANSWER-A set of two or more equations with the same
variables.
Answers
GCF (Greatest Common Factor) - ANSWER-the greatest number that is a factor of two
or more numbers
least common multiple (LCM) - ANSWER-The smallest multiple (other than zero) that
two or more numbers have in common.
fraction - ANSWER-part of a whole
numerator - ANSWER-the top number in a fraction
denominator - ANSWER-The bottom number in a fraction
equivelent fractions - ANSWER-when one fraction is equal to another.
common denominator - ANSWER-A denominator that is the same in two or more
fractions.
Adding and Subtracting Fractions - ANSWER-make denominator same number then
add or subtract across
Multiplying Fractions - ANSWER-1. Multiply the numerators.
2. Multiply the denominators.
Dividing Fractions - ANSWER-To divide fractions, invert the second one and multiply
Multiplying mixed numbers - ANSWER-Change to an improper fraction and multiply;
then change the answer, if in improper form, back to a mixed number and reduce if
necessary.
Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 =
7 6/12 = 7 1/2`
adding and subtracting decimals - ANSWER-Line up the decimal points and proceed as
usual
Multiplying Decimals - ANSWER-Ignore the decimal point until the answer. Count the
number of Decimal places in both factors. Use that number of decimal places to write
the answer.
, Dividing Decimals - ANSWER-Move the decimal to the right on both numbers until there
is nothing to the right of the decimal
percentages - ANSWER-part = (percent / 100) x whole
e.g. 7 + 9 + 4 = 20, what % is 4 of whole.
4/20 = (4x5)/(20x5) = =20%
direct proportion - ANSWER-a relationship between two variables in which their ratio is
constant
inverse proportion - ANSWER-a relation between two quantities such that one
increases in proportion as the other decreases.
ratio - ANSWER-A comparison of two quantities by division
constant of proportionality - ANSWER-the constant ratio in a proportional linear
relationship
slope of line - ANSWER-m = y2-y1/x2-x1
Coefficient - ANSWER-number in front of a variable
linear expression - ANSWER-expression with variables that have an exponent of 1
linear equation - ANSWER-an equation whose graph is a straight line.
Ax+By=C, slope = -A/B, y intercepts = C/B
slope-intercept form - ANSWER-y=mx+b, where m is the slope and b is the y-intercept
of the line.
solving equations with roots - ANSWER-
Inequalities - ANSWER-Algebraic statements that have ≠, <, >, ≤, or ≥ as their symbols
of comparison.
Cartesian Coordinate Plane - ANSWER-a plane divided into four quadrants by the
intersection of the x-axis and the y-axis at the origin
Graphing Inequalities - ANSWER-A solid line means the inequality is ≥ or ≤. A dotted
line means the inequality is > or <.
systems of equations - ANSWER-A set of two or more equations with the same
variables.
