ATI TEAS 7 MATH 2025| Actual Study Guide
and Exam Questions and Verified Answers
for Guaranteed Pass
Symmetry
when a vertical line can be drawn through the middle of a graph and mirror images
Bimodal: mean = median
Unimodal: mean= = median = mode
Fraction > Decimal > Percentage
1. divide numerator by denominator
2. multiply by a 100 (move decimal to the right 2x)
Fraction < Decimal < Percentage
1. divide by 100 ( move decimal to the left 2x)
2. divide by place value
Simplify the fraction 18/24
3/4
Addition of fractions
3/4 + 5/8
6/8 + 5/8 = 11/8 = 1 3/8
Multiplication of fractions
2/3 x 5/6
5/9
Division of fractions
7//4
7/6 = 1 1/6
Convert 7/8 into a decimal
0.875
Addition of decimals
3.42 + 2.89
,6.31
Multiplication of decimals
4.3 x 0.25
1.075
Division of decimals
15..5
4.5
What is 25% of 160
25/1oo x 160 = 40
Covert 0.375 to a percentage
37.5 %
Percentage increase from 40% to 50%
Use the formula: new value - old value / old value x 100
25%
Percentage decrease from 2000 to 1600
Use the formula: old value - new value / old value x 100
20%
Order of Operations
P - Parenthesis
E- Exponent or Roots
MD - Multiplication or Division
AS - Adding or Subtracting
solve from left to right
8 + 3 (6-4) ^
14
Rational Numbers
any number that can be expressed as the quotient or fraction of two integers, where the
denominator is not zero
rational number = a/b
, Characteristics of Rational Numbers
1. Fractions: 1/2. -3/4, 7/1; they can be written as a/b with integers a and b
2. Integers: all integers are rational because they can be written with a denominator 1 ( 5
= 5/1, -2 = -2/1)
3. Terminating decimals: decimals that end like 0.5 or -3.25 are rational because they
can be converted into fractions (0.5 = 1/2, -3.25 = -13/4)
Repeating decimals: decimals with repeating patterns like 0.3333... = 1/3 or 0.142857 =
1/7, are rationals because they can be expressed as fractions
Non-Rational Numbers
numbers that cannot be expressed as a/b, such as pi, square root of 2, or e, because their
decimals forms neither terminate or repeat
Simplify the following equation:
3/4 + 5/6 - 2/3
11/12
Order the following rational numbers from LEAST to GREATEST:
-3/4 , 0.5, 2/3, -0.25, 1.25
-3/4, -0.25, 0.5, 2/3, 1.25
Which if the following numbers are irrational?
square root of 2, 3.14, 7/5, pi, square root of 16
square root of 2 and pi \
Compare the following numbers using <,>, or =
-5/8 _ -0.6
square root of 49 _ 7.1
2/3 _ 0.66
-5/8 > -0.6
square root of 49 < 7.1
2/3 > 0.66
Mean
average of a data set
1. add all numbers together
2. divide by the total number in set
Median
and Exam Questions and Verified Answers
for Guaranteed Pass
Symmetry
when a vertical line can be drawn through the middle of a graph and mirror images
Bimodal: mean = median
Unimodal: mean= = median = mode
Fraction > Decimal > Percentage
1. divide numerator by denominator
2. multiply by a 100 (move decimal to the right 2x)
Fraction < Decimal < Percentage
1. divide by 100 ( move decimal to the left 2x)
2. divide by place value
Simplify the fraction 18/24
3/4
Addition of fractions
3/4 + 5/8
6/8 + 5/8 = 11/8 = 1 3/8
Multiplication of fractions
2/3 x 5/6
5/9
Division of fractions
7//4
7/6 = 1 1/6
Convert 7/8 into a decimal
0.875
Addition of decimals
3.42 + 2.89
,6.31
Multiplication of decimals
4.3 x 0.25
1.075
Division of decimals
15..5
4.5
What is 25% of 160
25/1oo x 160 = 40
Covert 0.375 to a percentage
37.5 %
Percentage increase from 40% to 50%
Use the formula: new value - old value / old value x 100
25%
Percentage decrease from 2000 to 1600
Use the formula: old value - new value / old value x 100
20%
Order of Operations
P - Parenthesis
E- Exponent or Roots
MD - Multiplication or Division
AS - Adding or Subtracting
solve from left to right
8 + 3 (6-4) ^
14
Rational Numbers
any number that can be expressed as the quotient or fraction of two integers, where the
denominator is not zero
rational number = a/b
, Characteristics of Rational Numbers
1. Fractions: 1/2. -3/4, 7/1; they can be written as a/b with integers a and b
2. Integers: all integers are rational because they can be written with a denominator 1 ( 5
= 5/1, -2 = -2/1)
3. Terminating decimals: decimals that end like 0.5 or -3.25 are rational because they
can be converted into fractions (0.5 = 1/2, -3.25 = -13/4)
Repeating decimals: decimals with repeating patterns like 0.3333... = 1/3 or 0.142857 =
1/7, are rationals because they can be expressed as fractions
Non-Rational Numbers
numbers that cannot be expressed as a/b, such as pi, square root of 2, or e, because their
decimals forms neither terminate or repeat
Simplify the following equation:
3/4 + 5/6 - 2/3
11/12
Order the following rational numbers from LEAST to GREATEST:
-3/4 , 0.5, 2/3, -0.25, 1.25
-3/4, -0.25, 0.5, 2/3, 1.25
Which if the following numbers are irrational?
square root of 2, 3.14, 7/5, pi, square root of 16
square root of 2 and pi \
Compare the following numbers using <,>, or =
-5/8 _ -0.6
square root of 49 _ 7.1
2/3 _ 0.66
-5/8 > -0.6
square root of 49 < 7.1
2/3 > 0.66
Mean
average of a data set
1. add all numbers together
2. divide by the total number in set
Median
