Teas 7 Math exam 100% correct
TEAS 7 Math Exam Review
This document provides a review of key mathematical concepts and problem-
solving skills relevant to the TEAS 7 Math exam.
1. Solving Linear Equations
Problem: Solve the equation for the value of x: 7x−6=3x−26
Solution:
1. Isolate the variable terms on one side of the equation: 7x−3x=−26+6
2. Simplify both sides: 4x=−20
3. Solve for x by dividing both sides by 4: x=4−20
4. The solution is: x=−5
2. Multiplication of Fractions
Problem: What is the product of 85×418 (rounded to the nearest ten thousandth)?
Solution:
1. Multiply the numerators: 5×18=90
2. Multiply the denominators: 8×4=32
3. The product is: 3290
4. Simplify the fraction by dividing both numerator and denominator by their
greatest common divisor (2): 32÷290÷2=1645
5. Convert the fraction to a decimal: 1645=2.8125
6. Rounded to the nearest ten thousandth, the product is: 2.8125
3. Fractions and Division
Problem: Four friends are sharing a pizza. One friend eats half of the pizza. The
other three equally divide the rest among themselves. What portion of the pizza did
each of the three friends receive?
Solution:
, 1. Calculate the remaining portion of the pizza: 1−21=21
2. Divide the remaining portion equally among the three friends: 21÷3=21
×31
3. Multiply the fractions: 2×31×1=61
4. Each of the three friends received: 61 of the pizza.
4. Unit Conversion: Yards to Inches
Problem: Which of the following is the correct conversion of 243 yards into
inches?
Key Conversions:
1 yard = 3 feet
1 foot = 12 inches
Solution:
1. Convert the mixed number to an improper fraction: 243=4(2×4)+3
=48+3=411 yards
2. Convert yards to feet: 411 yards×1 yard3 feet=411×3 feet=433 feet
3. Convert feet to inches: 433 feet×1 foot12 inches=433×12 inches=4396
inches
4. Simplify: 4396=99 inches
5. The correct conversion is: 99 inches
5. Area of a Square
Problem: What is the area of a square that measures 3.1 m on each side?
Formula for the Area of a Square: Area=side×side=side2
Solution:
1. Substitute the side length into the formula: Area=(3.1 m)2
2. Calculate the area: Area=3.1×3.1=9.61 m2
3. The area of the square is: 9.61 m2
6. Simplifying Algebraic Expressions
, Problem: Simplify 6xy4z418x5yz
Rules of Exponents:
anam=am−n
Solution:
1. Simplify the numerical coefficients: 618=3
2. Simplify the terms with variable x: x1x5=x5−1=x4
3. Simplify the terms with variable y: y4y1=y1−4=y−3=y31
4. Simplify the terms with variable z: z4z1=z1−4=z−3=z31
5. Combine the simplified terms: 3×x4×y31×z31=y3z33x4
6. The simplified expression is: y3z33x4
7. Solving Linear Equations (Again)
Problem: Which of the following is the value of x in the equation? 4x−3−5x=24
Solution:
1. Combine like terms on the left side of the equation: (4x−5x)−3=24
−x−3=24
2. Isolate the variable term by adding 3 to both sides: −x=24+3 −x=27
3. Solve for x by multiplying both sides by -1: x=−27
4. The value of x is: −27
8. Simple Interest Calculation
Problem: Pat deposits $600 in a savings account at a simple interest rate of 6% per
year for 5 years. How much will Pat have earned in interest by the end of 5 years?
Formula for Simple Interest: Interest(I)=Principal(P)×Rate(R)×Time(T)
Where:
P=$600 (Principal)
R=6%=0.06 (Interest Rate per year)
T=5 years (Time in years)
Solution:
TEAS 7 Math Exam Review
This document provides a review of key mathematical concepts and problem-
solving skills relevant to the TEAS 7 Math exam.
1. Solving Linear Equations
Problem: Solve the equation for the value of x: 7x−6=3x−26
Solution:
1. Isolate the variable terms on one side of the equation: 7x−3x=−26+6
2. Simplify both sides: 4x=−20
3. Solve for x by dividing both sides by 4: x=4−20
4. The solution is: x=−5
2. Multiplication of Fractions
Problem: What is the product of 85×418 (rounded to the nearest ten thousandth)?
Solution:
1. Multiply the numerators: 5×18=90
2. Multiply the denominators: 8×4=32
3. The product is: 3290
4. Simplify the fraction by dividing both numerator and denominator by their
greatest common divisor (2): 32÷290÷2=1645
5. Convert the fraction to a decimal: 1645=2.8125
6. Rounded to the nearest ten thousandth, the product is: 2.8125
3. Fractions and Division
Problem: Four friends are sharing a pizza. One friend eats half of the pizza. The
other three equally divide the rest among themselves. What portion of the pizza did
each of the three friends receive?
Solution:
, 1. Calculate the remaining portion of the pizza: 1−21=21
2. Divide the remaining portion equally among the three friends: 21÷3=21
×31
3. Multiply the fractions: 2×31×1=61
4. Each of the three friends received: 61 of the pizza.
4. Unit Conversion: Yards to Inches
Problem: Which of the following is the correct conversion of 243 yards into
inches?
Key Conversions:
1 yard = 3 feet
1 foot = 12 inches
Solution:
1. Convert the mixed number to an improper fraction: 243=4(2×4)+3
=48+3=411 yards
2. Convert yards to feet: 411 yards×1 yard3 feet=411×3 feet=433 feet
3. Convert feet to inches: 433 feet×1 foot12 inches=433×12 inches=4396
inches
4. Simplify: 4396=99 inches
5. The correct conversion is: 99 inches
5. Area of a Square
Problem: What is the area of a square that measures 3.1 m on each side?
Formula for the Area of a Square: Area=side×side=side2
Solution:
1. Substitute the side length into the formula: Area=(3.1 m)2
2. Calculate the area: Area=3.1×3.1=9.61 m2
3. The area of the square is: 9.61 m2
6. Simplifying Algebraic Expressions
, Problem: Simplify 6xy4z418x5yz
Rules of Exponents:
anam=am−n
Solution:
1. Simplify the numerical coefficients: 618=3
2. Simplify the terms with variable x: x1x5=x5−1=x4
3. Simplify the terms with variable y: y4y1=y1−4=y−3=y31
4. Simplify the terms with variable z: z4z1=z1−4=z−3=z31
5. Combine the simplified terms: 3×x4×y31×z31=y3z33x4
6. The simplified expression is: y3z33x4
7. Solving Linear Equations (Again)
Problem: Which of the following is the value of x in the equation? 4x−3−5x=24
Solution:
1. Combine like terms on the left side of the equation: (4x−5x)−3=24
−x−3=24
2. Isolate the variable term by adding 3 to both sides: −x=24+3 −x=27
3. Solve for x by multiplying both sides by -1: x=−27
4. The value of x is: −27
8. Simple Interest Calculation
Problem: Pat deposits $600 in a savings account at a simple interest rate of 6% per
year for 5 years. How much will Pat have earned in interest by the end of 5 years?
Formula for Simple Interest: Interest(I)=Principal(P)×Rate(R)×Time(T)
Where:
P=$600 (Principal)
R=6%=0.06 (Interest Rate per year)
T=5 years (Time in years)
Solution:
