Deck 1: Arithmetic and Algebra

Question 1

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

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

Answer 1

5 + 3 + 2 = 2 + 3 + 5

Question 2

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

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.

Answer 2

Carry out the opposite of the operation that appears on the same side of the equal sign as x.

Question 3

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

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)

Answer 3

(1 × 2) × 3 = 1 × (2 × 3)

Question 4

What is a ratio?

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 5

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

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

Question 6

What does the term "denominator" refer to?

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 7

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

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 8

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

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

Question 9

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

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

Question 10

What is the product of two reciprocals?

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

Question 11

What is the correct procedure for dividing fractions?

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 12

Which of the following illustrates the commutative property of multiplication?

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 13

What is the purpose of algebra?

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 14

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

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

Question 15

Which of the following is a valid use of percentages?

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.

Question 16

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

A)
B)
C)
D)

Question 17

Which of the following best defines algebra?

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 18

What does a percentage represent?

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 19

How should a problem that equates two ratios be solved?

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