Math Aleks Exam with 100% Correct
Solutions
Place Value - correct Answer-The value of the place, or position, of a digit in a
number.Example: In 456, the 5 is in "tens" position.
Fractions - correct Answer-a number that expresses parts of a whole or a group
Comparing Numbers Signs - correct Answer-Equal to =
Less than <
Greater than >
Greater than or equal ≥
Less than or equal ≤
Rounding - correct Answer-Expressing a number to the nearest thousandth, hundredth,
tenth, one, ten, hundred, thousand, and so on as directed.
Whole Number - correct Answer-The numbers {0,1,2,3,...}
Estimates - correct Answer-Find a number close to the exact answer.
Decimals - correct Answer-a number that uses place value and decimal points to show
values less than one, such as tenths, hundreths, etc.
Mixed Numbers - correct Answer-A whole number and a fraction together.
Factoring Numbers - correct Answer-Factor a number means to break it up into
numbers that can be multiplied together to get the original number. Example:12=2×2×3
Divisibility Rules - correct Answer-Divisibility means that you are able to divide a
number evenly. Example: 24 is divisible by 6, because 24÷6=4
Greatest Common Factor - correct Answer-The largest factor that two or more numbers
have in common.
least common multiple - correct Answer-The smallest multiple (other than zero) that two
or more numbers have in common.
Integers - correct Answer-Integers
{...,−3,−2,−1,0,1,2,3,...}{...,−3,−2,−1,0,1,2,3,...}Includes: zero, counting numbers, and
the negative of the counting numbers
, Real Numbers - correct Answer-ll numbers that are on number line. Integers plus
fractions, decimals, rational and irrational numbers etc.) (2‾√,3‾√,π2,3,π, etc.)
Order of Operation - correct Answer-PEMDAS
Absolute Value - correct Answer-The distance a number is from zero on a number line
Ratios - correct Answer-A comparison of two quantities by division (X/Y or X:Y--
numerator associate with word "to" and denominator "of"
Percentages - correct Answer-Use the following formula to find part, whole, or percent
part =(𝑝𝑒𝑟𝑐𝑒𝑛𝑡/100)𝑤ℎ𝑜𝑙𝑒
Proportional Ratios - correct Answer-A proportion means that two ratios are equal. It
can be written in two ways : 𝑎/𝑏=𝑐/𝑑. , 𝑎:𝑏=𝑐:𝑑
Percent of Change - correct Answer-A ratio that compares the change in a quantity to
the original amount.
(𝑁𝑒𝑤 𝑉𝑎𝑙𝑢𝑒 - 𝑂𝑙𝑑 𝑉𝑎𝑙𝑢𝑒/𝑂𝑙𝑑 𝑉𝑎𝑙𝑢𝑒)×100%
Markup - correct Answer-Markup == selling price -- costMarkup rate == markup divided
by the cost
Discount - correct Answer-Multiply the regular price by the rate of discount so: Selling
price = original price - discount
Expressions and Variables - correct Answer-A variable is a letter that represents
unspecified numbers. One may use a variable in the same manner as all other
numbers: Addition: 2 +𝑎 or 22 plus a
Tax - correct Answer-To find tax, multiply the tax rate to the taxable amount (income,
property value, etc.)
Distributive Property - correct Answer-a(b + c) = ab + ac
Polynomial - correct Answer-A monomial or the sum of monomials, 𝑃(𝑥)=𝑎
Systems of Equations - correct Answer-Two or more equations working together
example: {−2𝑥+2𝑦=4)
(−2𝑥+𝑦=3)
Equations - correct Answer-The values of two mathematical expressions are
equal.𝑎𝑥+𝑏=𝑐
Solutions
Place Value - correct Answer-The value of the place, or position, of a digit in a
number.Example: In 456, the 5 is in "tens" position.
Fractions - correct Answer-a number that expresses parts of a whole or a group
Comparing Numbers Signs - correct Answer-Equal to =
Less than <
Greater than >
Greater than or equal ≥
Less than or equal ≤
Rounding - correct Answer-Expressing a number to the nearest thousandth, hundredth,
tenth, one, ten, hundred, thousand, and so on as directed.
Whole Number - correct Answer-The numbers {0,1,2,3,...}
Estimates - correct Answer-Find a number close to the exact answer.
Decimals - correct Answer-a number that uses place value and decimal points to show
values less than one, such as tenths, hundreths, etc.
Mixed Numbers - correct Answer-A whole number and a fraction together.
Factoring Numbers - correct Answer-Factor a number means to break it up into
numbers that can be multiplied together to get the original number. Example:12=2×2×3
Divisibility Rules - correct Answer-Divisibility means that you are able to divide a
number evenly. Example: 24 is divisible by 6, because 24÷6=4
Greatest Common Factor - correct Answer-The largest factor that two or more numbers
have in common.
least common multiple - correct Answer-The smallest multiple (other than zero) that two
or more numbers have in common.
Integers - correct Answer-Integers
{...,−3,−2,−1,0,1,2,3,...}{...,−3,−2,−1,0,1,2,3,...}Includes: zero, counting numbers, and
the negative of the counting numbers
, Real Numbers - correct Answer-ll numbers that are on number line. Integers plus
fractions, decimals, rational and irrational numbers etc.) (2‾√,3‾√,π2,3,π, etc.)
Order of Operation - correct Answer-PEMDAS
Absolute Value - correct Answer-The distance a number is from zero on a number line
Ratios - correct Answer-A comparison of two quantities by division (X/Y or X:Y--
numerator associate with word "to" and denominator "of"
Percentages - correct Answer-Use the following formula to find part, whole, or percent
part =(𝑝𝑒𝑟𝑐𝑒𝑛𝑡/100)𝑤ℎ𝑜𝑙𝑒
Proportional Ratios - correct Answer-A proportion means that two ratios are equal. It
can be written in two ways : 𝑎/𝑏=𝑐/𝑑. , 𝑎:𝑏=𝑐:𝑑
Percent of Change - correct Answer-A ratio that compares the change in a quantity to
the original amount.
(𝑁𝑒𝑤 𝑉𝑎𝑙𝑢𝑒 - 𝑂𝑙𝑑 𝑉𝑎𝑙𝑢𝑒/𝑂𝑙𝑑 𝑉𝑎𝑙𝑢𝑒)×100%
Markup - correct Answer-Markup == selling price -- costMarkup rate == markup divided
by the cost
Discount - correct Answer-Multiply the regular price by the rate of discount so: Selling
price = original price - discount
Expressions and Variables - correct Answer-A variable is a letter that represents
unspecified numbers. One may use a variable in the same manner as all other
numbers: Addition: 2 +𝑎 or 22 plus a
Tax - correct Answer-To find tax, multiply the tax rate to the taxable amount (income,
property value, etc.)
Distributive Property - correct Answer-a(b + c) = ab + ac
Polynomial - correct Answer-A monomial or the sum of monomials, 𝑃(𝑥)=𝑎
Systems of Equations - correct Answer-Two or more equations working together
example: {−2𝑥+2𝑦=4)
(−2𝑥+𝑦=3)
Equations - correct Answer-The values of two mathematical expressions are
equal.𝑎𝑥+𝑏=𝑐
