ACT MATH EXAM COMPLETE
QUESTIONS WITH CORRECT
SOLUTIONS||100% GUARANTEED
PASS||UPDATED 2026/2027
SYLLABUS||<<NEWEST
VERSION>>
When you multiply two numbers with common bases, - ANSWER ✓ add the
exponents.
When you divide two numbers with common bases, - ANSWER ✓ subtract the
exponents.
When you raise an exponential number to a power, - ANSWER ✓ multiply the
exponents.
You can add or subtract square roots only when the numbers under the square root
- ANSWER ✓ are the same.
Consecutive - ANSWER ✓ In increasing order.
Collinear - ANSWER ✓ Points that lie on the same line
Difference - ANSWER ✓ Answer to a subtraction problem
Even - ANSWER ✓ Divisible by two
Fraction - ANSWER ✓ A way of expressing the division of numbers by stacking
one over the other.
Greatest Common Factor - ANSWER ✓ The largest factor that two or more
numbers have in common.
,Imaginary - ANSWER ✓ The square root (or any even root) of a negative
number.
Integers - ANSWER ✓ All real numbers other than decimals or fractions.
Irrational - ANSWER ✓ A number than can be expressed as a decimal but not a
fraction.
Least Common Multiple - ANSWER ✓ The smallest multiple (other than zero)
that two or more numbers have in common.
Negative - ANSWER ✓ Less than 0.
Odd - ANSWER ✓ Not divisible by two.
PEMDAS - ANSWER ✓ Parentheses, Exponents, Multiplication, Division,
Addition, Subtraction (order of operations)
Positive - ANSWER ✓ Greater than 0.
Prime - ANSWER ✓ A number that has itself and 1 as its only factors.
Product - ANSWER ✓ The result of multiplication.
Real - ANSWER ✓ Zero, all positive and negative integers, fractions, decimals,
and roots.
Radical - ANSWER ✓ Another word for root.
Reciprocal - ANSWER ✓ The inverse of a number--flip the numerator and the
denominator.
Remainder - ANSWER ✓ The number left over when a number is not divisible
by another number.
Rational Number - ANSWER ✓ A number that can be written as a fraction
, Sum - ANSWER ✓ The result of addition.
John has x red pencils, and three times as many red pencils as blue pencils. If he
has four more yellow pencils than blue pencils, then in terms of x, how many
yellow pencils does John have? - ANSWER ✓ #21 DRILL
For all x = 3 (line through equality), which of the following is equivalent to the
expression? 3x^2 - 7x - 6/x - 3 - ANSWER ✓ #17 DRILL
In my dear Aunt Sally's math class, there are four exams. The first three exam
scores are averaged, and the resulting score is averaged with the final exam score.
If a, b, and c are the first three exam scores, and f is the final exam score, which of
the following examples gives student't final score in the class? - ANSWER ✓ #36
DRILL
If x - z = 6 and y = 3x - 2 - 3z, then y = - ANSWER ✓ #25 DRILL
If $600 were deposited in a bank account for one year and earned interest of $42,
what was the interest rate? - ANSWER ✓ 42/600 x 100= 7%
In a piggy bank, there are pennies, nickels, dimes, and quarters that total $2.17 in
value. If there were - ANSWER ✓ #49 drill
Polygons - ANSWER ✓ - Sum of angles in a n-sided polygon: (n-2)180
- Angle measure of each angle in a regular n-sided polygon: (n-2)180/n
Triangle - ANSWER ✓ A polygon with three sides. All inside angles add up to
180 degrees. The largest angle of a triangle is always opposite to its larger side.
Pentagon - ANSWER ✓ 5 sides; This can be split into 3 Triangles, so 180 x 3 =
540
Know your rules for 0 - ANSWER ✓ - 0 is an even number
- 0 is neither positive nor negative
- Anything multiplies by 0 is 0
- 0 raised to any power is 0
- Anything raised to the 0 power is 1
QUESTIONS WITH CORRECT
SOLUTIONS||100% GUARANTEED
PASS||UPDATED 2026/2027
SYLLABUS||<<NEWEST
VERSION>>
When you multiply two numbers with common bases, - ANSWER ✓ add the
exponents.
When you divide two numbers with common bases, - ANSWER ✓ subtract the
exponents.
When you raise an exponential number to a power, - ANSWER ✓ multiply the
exponents.
You can add or subtract square roots only when the numbers under the square root
- ANSWER ✓ are the same.
Consecutive - ANSWER ✓ In increasing order.
Collinear - ANSWER ✓ Points that lie on the same line
Difference - ANSWER ✓ Answer to a subtraction problem
Even - ANSWER ✓ Divisible by two
Fraction - ANSWER ✓ A way of expressing the division of numbers by stacking
one over the other.
Greatest Common Factor - ANSWER ✓ The largest factor that two or more
numbers have in common.
,Imaginary - ANSWER ✓ The square root (or any even root) of a negative
number.
Integers - ANSWER ✓ All real numbers other than decimals or fractions.
Irrational - ANSWER ✓ A number than can be expressed as a decimal but not a
fraction.
Least Common Multiple - ANSWER ✓ The smallest multiple (other than zero)
that two or more numbers have in common.
Negative - ANSWER ✓ Less than 0.
Odd - ANSWER ✓ Not divisible by two.
PEMDAS - ANSWER ✓ Parentheses, Exponents, Multiplication, Division,
Addition, Subtraction (order of operations)
Positive - ANSWER ✓ Greater than 0.
Prime - ANSWER ✓ A number that has itself and 1 as its only factors.
Product - ANSWER ✓ The result of multiplication.
Real - ANSWER ✓ Zero, all positive and negative integers, fractions, decimals,
and roots.
Radical - ANSWER ✓ Another word for root.
Reciprocal - ANSWER ✓ The inverse of a number--flip the numerator and the
denominator.
Remainder - ANSWER ✓ The number left over when a number is not divisible
by another number.
Rational Number - ANSWER ✓ A number that can be written as a fraction
, Sum - ANSWER ✓ The result of addition.
John has x red pencils, and three times as many red pencils as blue pencils. If he
has four more yellow pencils than blue pencils, then in terms of x, how many
yellow pencils does John have? - ANSWER ✓ #21 DRILL
For all x = 3 (line through equality), which of the following is equivalent to the
expression? 3x^2 - 7x - 6/x - 3 - ANSWER ✓ #17 DRILL
In my dear Aunt Sally's math class, there are four exams. The first three exam
scores are averaged, and the resulting score is averaged with the final exam score.
If a, b, and c are the first three exam scores, and f is the final exam score, which of
the following examples gives student't final score in the class? - ANSWER ✓ #36
DRILL
If x - z = 6 and y = 3x - 2 - 3z, then y = - ANSWER ✓ #25 DRILL
If $600 were deposited in a bank account for one year and earned interest of $42,
what was the interest rate? - ANSWER ✓ 42/600 x 100= 7%
In a piggy bank, there are pennies, nickels, dimes, and quarters that total $2.17 in
value. If there were - ANSWER ✓ #49 drill
Polygons - ANSWER ✓ - Sum of angles in a n-sided polygon: (n-2)180
- Angle measure of each angle in a regular n-sided polygon: (n-2)180/n
Triangle - ANSWER ✓ A polygon with three sides. All inside angles add up to
180 degrees. The largest angle of a triangle is always opposite to its larger side.
Pentagon - ANSWER ✓ 5 sides; This can be split into 3 Triangles, so 180 x 3 =
540
Know your rules for 0 - ANSWER ✓ - 0 is an even number
- 0 is neither positive nor negative
- Anything multiplies by 0 is 0
- 0 raised to any power is 0
- Anything raised to the 0 power is 1
