ASU Math Placement Refined
Exam With Approved Solutions
2025/2026
Exponents - Correct Answers-The number that is small and raised to show how
many times to multiply the number by itself.
Variables - Correct Answers-quantity that can be changed and is not fixed
Addition properties - Correct Answers-Commutative: a+b = b+a
Associative: (a+b) + c = a + (b+c)
Identity: a + 0 = a
Multiplication properties - Correct Answers-Identity: 4*1=4
Zero: 3*0=0
Associative: (a*b) c = a (b*c)
Commutative: 5*6 =6*5
Distributive: 6*7 = (3+7)(3+7)
Comparing Integers - Correct Answers-When you graph numbers on a number
line to see which one is greater than or less than, or if they are equal.
Order of Operations (PEMDAS) - Correct Answers-Parenthesis, Exponents,
Multiplication, Division, Addition, Subtraction
absolute value - Correct Answers-The distance a number is from zero on a
number line
equal ratios - Correct Answers-two ratios that name the same number
unit rate - Correct Answers-A rate with a denominator of 1.
proportion - Correct Answers-An equation stating that two ratios are equal
Solving Proportions - Correct Answers-cross multiply, then divide
Percents - Correct Answers-A ratio that compares a number to 100
unit conversion - Correct Answers-The process of changing one unit of measure
to another.
Exam With Approved Solutions
2025/2026
Exponents - Correct Answers-The number that is small and raised to show how
many times to multiply the number by itself.
Variables - Correct Answers-quantity that can be changed and is not fixed
Addition properties - Correct Answers-Commutative: a+b = b+a
Associative: (a+b) + c = a + (b+c)
Identity: a + 0 = a
Multiplication properties - Correct Answers-Identity: 4*1=4
Zero: 3*0=0
Associative: (a*b) c = a (b*c)
Commutative: 5*6 =6*5
Distributive: 6*7 = (3+7)(3+7)
Comparing Integers - Correct Answers-When you graph numbers on a number
line to see which one is greater than or less than, or if they are equal.
Order of Operations (PEMDAS) - Correct Answers-Parenthesis, Exponents,
Multiplication, Division, Addition, Subtraction
absolute value - Correct Answers-The distance a number is from zero on a
number line
equal ratios - Correct Answers-two ratios that name the same number
unit rate - Correct Answers-A rate with a denominator of 1.
proportion - Correct Answers-An equation stating that two ratios are equal
Solving Proportions - Correct Answers-cross multiply, then divide
Percents - Correct Answers-A ratio that compares a number to 100
unit conversion - Correct Answers-The process of changing one unit of measure
to another.
