Question 1

Which of the following is a valid use of percentages?

Accepted Answer

A)  They are a means for identifying the least common denominator of two fractions with different denominators. 
B)  They are used for maintaining the commutative property of long addition equations. 
C)  They can be used to maintain equality across an equation by performing the same operation on both sides of the equal sign. 
D)  They provide a means of standardizing proportions when the total number of parts is not 100. 
A)  They are a means for identifying the least common denominator of two fractions with different denominators. 
B)  They are used for maintaining the commutative property of long addition equations. 
C)  They can be used to maintain equality across an equation by performing the same operation on both sides of the equal sign. 
D)  They provide a means of standardizing proportions when the total number of parts is not 100. D

Question 2

Which of the following illustrates the commutative property of multiplication?

Accepted Answer

A)  1 × 2 × 3 = 6 
B)  1 × 2 × 3 = 3 ÷ 2 ÷ 1 
C)  1 × 2 × 3 = 3 × 1 × 2 
D)  (1 × 2) × 3 = 1 × (2 × 3) 
A)  1 × 2 × 3 = 6 
B)  1 × 2 × 3 = 3 ÷ 2 ÷ 1 
C)  1 × 2 × 3 = 3 × 1 × 2 
D)  (1 × 2) × 3 = 1 × (2 × 3) C

Question 3

How should a problem that equates two ratios be solved?

Accepted Answer

A)  Addition using the reciprocal of each ratio 
B)  Cross-multiplication 
C)  Division with a common denominator 
D)  Using the commutative property 
A)  Addition using the reciprocal of each ratio 
B)  Cross-multiplication 
C)  Division with a common denominator 
D)  Using the commutative property B

Question 4

When a positive number is multiplied by a negative number,what sign will the value of the product always have?

Accepted Answer

A)  Negative 
B)  Positive 
C)  Neither of the above 
D)  The sign will vary. 
A)  Negative 
B)  Positive 
C)  Neither of the above 
D)  The sign will vary.

Question 5

Which of the following best defines algebra?

Accepted Answer

A)  The identification of the correlation between values using strategic and numerical manipulation 
B)  The manipulation of scientific and laboratory measurements to best fit the expected outcome 
C)  The numerical manipulation of numbers through addition, subtraction, multiplication, and division 
D)  The strategic manipulation of relationships in order to find an unknown value 
A)  The identification of the correlation between values using strategic and numerical manipulation 
B)  The manipulation of scientific and laboratory measurements to best fit the expected outcome 
C)  The numerical manipulation of numbers through addition, subtraction, multiplication, and division 
D)  The strategic manipulation of relationships in order to find an unknown value

Question 6

A fraction whose value is greater than 1 is referred to as

Accepted Answer

A)  improper. 
B)  mixed. 
C)  percentage. 
D)  proper. 
A)  improper. 
B)  mixed. 
C)  percentage. 
D)  proper.

Question 7

What should be done in order to isolate the variable x on one side of an equation and the numbers on the other?

Accepted Answer

A)  Carry out the opposite of the operation that appears on the same side of the equal sign as x. 
B)  Cross multiply all the numbers on the same side of the equal sign as x. 
C)  Divide by 100 the numbers located on the same side of the equal sign as x. 
D)  Identify the common denominator of the numbers on the opposite side of the equal sign from x. 
A)  Carry out the opposite of the operation that appears on the same side of the equal sign as x. 
B)  Cross multiply all the numbers on the same side of the equal sign as x. 
C)  Divide by 100 the numbers located on the same side of the equal sign as x. 
D)  Identify the common denominator of the numbers on the opposite side of the equal sign from x.

Question 8

What is a ratio?

Accepted Answer

A)  The product of two numbers 
B)  The quotient of two numbers 
C)  The sum of two numbers 
D)  The variance of two numbers 
A)  The product of two numbers 
B)  The quotient of two numbers 
C)  The sum of two numbers 
D)  The variance of two numbers

Question 9

Which of the following statements is necessarily true about a reduced fraction?

Accepted Answer

A)  The denominator is divided until it is only divisible by zero. 
B)  The only number evenly divisible into both the numerator and denominator is 1. 
C)  The value of the denominator is greater than the value of the numerator. 
D)  The value of the numerator is greater than the value of the denominator. 
A)  The denominator is divided until it is only divisible by zero. 
B)  The only number evenly divisible into both the numerator and denominator is 1. 
C)  The value of the denominator is greater than the value of the numerator. 
D)  The value of the numerator is greater than the value of the denominator.

Question 10

What does the term "denominator" refer to?

Accepted Answer

A)  The number by which a fraction is divided during reducing 
B)  The number located on the top of a fraction 
C)  The number of equal parts into which something is divided 
D)  The number of parts of something that are being considered 
A)  The number by which a fraction is divided during reducing 
B)  The number located on the top of a fraction 
C)  The number of equal parts into which something is divided 
D)  The number of parts of something that are being considered

Question 11

What is the purpose of algebra?

Accepted Answer

A)  To calculate the answer to an equation 
B)  To determine whether an equation fits the associated property 
C)  To evaluate whether an equation has a fraction 
D)  To identify the unknown value of a variable 
A)  To calculate the answer to an equation 
B)  To determine whether an equation fits the associated property 
C)  To evaluate whether an equation has a fraction 
D)  To identify the unknown value of a variable

Question 12

Consider the following expression. 9 - (-3) Which of the following expressions is another way of writing this?

Accepted Answer

A)  3 + 9 
B)  3 - 9 
C)  9 + 3 
D)  9 - 3 
A)  3 + 9 
B)  3 - 9 
C)  9 + 3 
D)  9 - 3

Question 13

Which of the following best illustrates the associative property of multiplication?

Accepted Answer

A)  1 × 2 × 3 = 6 
B)  1 × 2 × 3 = 3 ÷ 2 ÷ 1 
C)  1 × 2 × 3 = 3 × 1 × 2 
D)  (1 × 2) × 3 = 1 × (2 × 3) 
A)  1 × 2 × 3 = 6 
B)  1 × 2 × 3 = 3 ÷ 2 ÷ 1 
C)  1 × 2 × 3 = 3 × 1 × 2 
D)  (1 × 2) × 3 = 1 × (2 × 3)

Question 14

To add two fractions with different denominators,what must be determined for the denominators?

Accepted Answer

A)  Improper ratio 
B)  Least common value 
C)  Lowest mixed value 
D)  Ratio of the means 
A)  Improper ratio 
B)  Least common value 
C)  Lowest mixed value 
D)  Ratio of the means

Question 15

Which of the following expressions demonstrates the correct procedure for multiplying a fraction by a whole number?

Accepted Answer

A)  $ 10 \times \frac{2}{5}=\frac{10}{1} \times \frac{2}{5} $ 
B)  $ 10 \times \frac{2}{5}=\frac{1}{10} \times \frac{2}{5} $ 
C)  $ 10 \times \frac{2}{5}=\frac{1}{10} \times \frac{4}{10} $ 
D)  $ 10 \times \frac{2}{5}=10 \times 5 \times 2 $ 
A)  $ 10 \times \frac{2}{5}=\frac{10}{1} \times \frac{2}{5} $ 
B)  $ 10 \times \frac{2}{5}=\frac{1}{10} \times \frac{2}{5} $ 
C)  $ 10 \times \frac{2}{5}=\frac{1}{10} \times \frac{4}{10} $ 
D)  $ 10 \times \frac{2}{5}=10 \times 5 \times 2 $

Question 16

What does a percentage represent?

Accepted Answer

A)  The number of parts out of every 100 parts 
B)  The total number of parts present 
C)  The value represented by the denominator of a fraction 
D)  The value represented by the numerator of a fraction 
A)  The number of parts out of every 100 parts 
B)  The total number of parts present 
C)  The value represented by the denominator of a fraction 
D)  The value represented by the numerator of a fraction

Question 17

What is the correct procedure for dividing fractions?

Accepted Answer

A)  Add the numerators and add the denominators. 
B)  Multiply the numerators and multiply the denominators. 
C)  Multiply one fraction by the reciprocal of the other fraction. 
D)  Subtract the numerators and subtract the denominators. 
A)  Add the numerators and add the denominators. 
B)  Multiply the numerators and multiply the denominators. 
C)  Multiply one fraction by the reciprocal of the other fraction. 
D)  Subtract the numerators and subtract the denominators.

Question 18

Which of the following best illustrates the commutative property of addition?

Accepted Answer

A)  5 + 3 + 2 = 10 
B)  5 + (3 + 2) = (5 + 3) + 2 
C)  5 + 3 + 2 = 20 - 6 - 4 
D)  5 + 3 + 2 = 2 + 3 + 5 
A)  5 + 3 + 2 = 10 
B)  5 + (3 + 2) = (5 + 3) + 2 
C)  5 + 3 + 2 = 20 - 6 - 4 
D)  5 + 3 + 2 = 2 + 3 + 5

Question 19

What is the product of two reciprocals?

Accepted Answer

A)  0 
B)  1 
C)  10 
D)  100 
A)  0 
B)  1 
C)  10 
D)  100

Which of the following is a valid use of percentages?

Which of the following illustrates the commutative property of multiplication?

How should a problem that equates two ratios be solved?

When a positive number is multiplied by a negative number,what sign will the value of the product always have?

Which of the following best defines algebra?

A fraction whose value is greater than 1 is referred to as

What should be done in order to isolate the variable x on one side of an equation and the numbers on the other?

What is a ratio?

Which of the following statements is necessarily true about a reduced fraction?

What does the term "denominator" refer to?

What is the purpose of algebra?

Consider the following expression. 9 - (-3) Which of the following expressions is another way of writing this?

Which of the following best illustrates the associative property of multiplication?

To add two fractions with different denominators,what must be determined for the denominators?

Which of the following expressions demonstrates the correct procedure for multiplying a fraction by a whole number?

What does a percentage represent?

What is the correct procedure for dividing fractions?

Which of the following best illustrates the commutative property of addition?

What is the product of two reciprocals?

Exponential Notation & Logarithms

Rounding and the Significance of Figures

Systems of Measurement

Solutions and Concentrations

Dilutions

Proportionality, Graphs, and Rates of Change

Statistics

Chemistry

Hematology

Quality Control

Method Evaluation

Filters

Exam 1: Arithmetic and Algebra

Which of the following is a valid use of percentages?

Which of the following illustrates the commutative property of multiplication?

How should a problem that equates two ratios be solved?

When a positive number is multiplied by a negative number,what sign will the value of the product always have?

Which of the following best defines algebra?

A fraction whose value is greater than 1 is referred to as

What should be done in order to isolate the variable x on one side of an equation and the numbers on the other?

What is a ratio?

Which of the following statements is necessarily true about a reduced fraction?

What does the term "denominator" refer to?

What is the purpose of algebra?

Consider the following expression. 9 - (-3) Which of the following expressions is another way of writing this?

Which of the following best illustrates the associative property of multiplication?

To add two fractions with different denominators,what must be determined for the denominators?

Which of the following expressions demonstrates the correct procedure for multiplying a fraction by a whole number?

What does a percentage represent?

What is the correct procedure for dividing fractions?

Which of the following best illustrates the commutative property of addition?

What is the product of two reciprocals?

Exponential Notation & Logarithms

Rounding and the Significance of Figures

Systems of Measurement

Solutions and Concentrations

Dilutions

Proportionality, Graphs, and Rates of Change

Statistics

Chemistry

Hematology

Quality Control

Method Evaluation

Filters