ATI TEAS 7 FULL STUDY GUIDE MATH
EXAM QUESTIONS WITH COMPLETE
ANSWERS
How to multiply fractions. - Answer-1. multiply the numerators together.
2. multiply the denominators together.
Steps to multiply a fraction by a whole number. - Answer-1. change the whole number
to a fraction with a denominator of 1.
2. multiply the numerators together.
3. multiply the denominators together.
4. rewrite the final answer as a mixed number.
Steps to multiply a fraction by a mixed number or multiplying 2 mixed numbers. -
Answer-1. change the mixed number to an improper fraction.
2. multiply the numerators.
3. multiply the denominators.
4. write the improper fraction as a mixed number.
5. reduce if necessary.
Steps to divide a fraction by a fraction. - Answer-1. leave the first fraction alone.
2. find the reciprocal of the second fraction.
3. multiply the first fraction by the reciprocal of the second fraction.
4. Rewrite the fraction as a mixed number and reduce the fraction completely.
Steps to divide a fraction by a whole or mixed number. - Answer-1. write any whole
number as a fraction with the denominator of 1. write any mixed numbers as improper
fractions.
2. leave the first fraction (improper fraction) alone.
3. find the reciprocal of the second fraction.
4. multiply the first fraction by the reciprocal of the second fraction.
5. rewrite the fraction as a mixed number and reduce the fraction completely.
What is a percent or percentage? - Answer-A fraction of some quantity.
"percent" means "per hundred."
What is a ratio? - Answer-A ratio expresses the relationship between two numbers and
is expressed using a colon or fraction notation.
Ratios should generally appear in lowest terms.
Mathematically, ratios act just like fractions. Example: 8:13 is the same as 8/13.
, What is a proportion? - Answer-A proportion is an equation of two ratios.
What is the rate of change for some quantity? - Answer-The rate of change for some
quantity is the ratio of the quantity's difference over a specific time period to the length
of that time period.
Example: if an automobile increases its speed from 50 mph to 100 mph in 10 seconds,
the rate of change of its speed is 100 mph - 50 mph / 10 s = 50 mph/10 s = 5 mph/s.
Basic formula for the rate of change of some quantity. - Answer-x(f) - x(i) / t(f) - t(i)
where t(f) is the "final" (or ending) time and t(i) is the "initial" (or starting) time.
x(f) is the (final) quantity at (final) time t(f).
x(I) is the (initial) quantity at (initial) time t(i).
The numerator is the difference between the 2 quantities.
The denominator is the difference in time.
What is the term "product." - Answer-The result of the multiplication operation.
T/F: When multiplying signed numbers, if the numbers have the same sign, their
product is positive. - Answer-True.
What is a linear equation? - Answer-An equation where 2 expressions are set equal to
each other.
ax+b=c
a is a non-zero constant
b and c are constants
the exponent on a linear equation is always 1
there is no more than one solution to a linear equation
The 4 properties to help solve a linear equation. - Answer-1. Addition property of
equality
2. Subtraction property of equality
3. Multiplication property of equality
4. Division property of equality
Steps to changing a fraction to a decimal. - Answer-1. divide the numerator by the
denominator. Add zeros after the decimal point as needed.
2. complete the process when there is no remainder or the decimal is repeating.
2 ways to convert a decimal to a percent. - Answer-1. multiply the decimal by 100 and
add a percent sign.
2. move the decimal point 2 places to the right.
EXAM QUESTIONS WITH COMPLETE
ANSWERS
How to multiply fractions. - Answer-1. multiply the numerators together.
2. multiply the denominators together.
Steps to multiply a fraction by a whole number. - Answer-1. change the whole number
to a fraction with a denominator of 1.
2. multiply the numerators together.
3. multiply the denominators together.
4. rewrite the final answer as a mixed number.
Steps to multiply a fraction by a mixed number or multiplying 2 mixed numbers. -
Answer-1. change the mixed number to an improper fraction.
2. multiply the numerators.
3. multiply the denominators.
4. write the improper fraction as a mixed number.
5. reduce if necessary.
Steps to divide a fraction by a fraction. - Answer-1. leave the first fraction alone.
2. find the reciprocal of the second fraction.
3. multiply the first fraction by the reciprocal of the second fraction.
4. Rewrite the fraction as a mixed number and reduce the fraction completely.
Steps to divide a fraction by a whole or mixed number. - Answer-1. write any whole
number as a fraction with the denominator of 1. write any mixed numbers as improper
fractions.
2. leave the first fraction (improper fraction) alone.
3. find the reciprocal of the second fraction.
4. multiply the first fraction by the reciprocal of the second fraction.
5. rewrite the fraction as a mixed number and reduce the fraction completely.
What is a percent or percentage? - Answer-A fraction of some quantity.
"percent" means "per hundred."
What is a ratio? - Answer-A ratio expresses the relationship between two numbers and
is expressed using a colon or fraction notation.
Ratios should generally appear in lowest terms.
Mathematically, ratios act just like fractions. Example: 8:13 is the same as 8/13.
, What is a proportion? - Answer-A proportion is an equation of two ratios.
What is the rate of change for some quantity? - Answer-The rate of change for some
quantity is the ratio of the quantity's difference over a specific time period to the length
of that time period.
Example: if an automobile increases its speed from 50 mph to 100 mph in 10 seconds,
the rate of change of its speed is 100 mph - 50 mph / 10 s = 50 mph/10 s = 5 mph/s.
Basic formula for the rate of change of some quantity. - Answer-x(f) - x(i) / t(f) - t(i)
where t(f) is the "final" (or ending) time and t(i) is the "initial" (or starting) time.
x(f) is the (final) quantity at (final) time t(f).
x(I) is the (initial) quantity at (initial) time t(i).
The numerator is the difference between the 2 quantities.
The denominator is the difference in time.
What is the term "product." - Answer-The result of the multiplication operation.
T/F: When multiplying signed numbers, if the numbers have the same sign, their
product is positive. - Answer-True.
What is a linear equation? - Answer-An equation where 2 expressions are set equal to
each other.
ax+b=c
a is a non-zero constant
b and c are constants
the exponent on a linear equation is always 1
there is no more than one solution to a linear equation
The 4 properties to help solve a linear equation. - Answer-1. Addition property of
equality
2. Subtraction property of equality
3. Multiplication property of equality
4. Division property of equality
Steps to changing a fraction to a decimal. - Answer-1. divide the numerator by the
denominator. Add zeros after the decimal point as needed.
2. complete the process when there is no remainder or the decimal is repeating.
2 ways to convert a decimal to a percent. - Answer-1. multiply the decimal by 100 and
add a percent sign.
2. move the decimal point 2 places to the right.
