Question 1

Approximate the numbers and place the correct symbol () between them.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    E

Question 2

Factor the difference of two squares. 49 - (m + 4) 2

Accepted Answer

A)  (m + 11)(3 - m) 
B)  (m + 11)(19 - m) 
C)  (19  - m)2 
D)  (3 - m)2 
E)  (m + 11)2 
A)  (m + 11)(3 - m) 
B)  (m + 11)(19 - m) 
C)  (19  - m)2 
D)  (3 - m)2 
E)  (m + 11)2 A

Question 3

Simplify the following rational expression.

Accepted Answer

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B)    
C)    
D)    
E)    
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B)    
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D)    
E)    B

Question 4

Completely factor the expression below.

Accepted Answer

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D)    
E)    
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D)    
E)

Question 5

Identify the rules of algebra illustrated from left to right by the following statement.

Accepted Answer

A)  associative property of multiplication; multiplicative inverse property; multiplicative identity property 
B)  commutative property of multiplication; multiplicative inverse property; multiplicative identity property 
C)  associative property of multiplication; multiplicative identity property; multiplicative inverse property 
D)  commutative property of multiplication; multiplicative identity property; multiplicative inverse property 
E)  distributive property; multiplicative identity property; multiplicative inverse property 
A)  associative property of multiplication; multiplicative inverse property; multiplicative identity property 
B)  commutative property of multiplication; multiplicative inverse property; multiplicative identity property 
C)  associative property of multiplication; multiplicative identity property; multiplicative inverse property 
D)  commutative property of multiplication; multiplicative identity property; multiplicative inverse property 
E)  distributive property; multiplicative identity property; multiplicative inverse property

Question 6

Identify the rule of algebra illustrated by the statement. 7n + 2n = (7 + 2)n

Accepted Answer

A)  associative property of addition 
B)  commutative property of addition 
C)  associative property of multiplication 
D)  commutative property of multiplication 
E)  distributive property 
A)  associative property of addition 
B)  commutative property of addition 
C)  associative property of multiplication 
D)  commutative property of multiplication 
E)  distributive property

Question 7

Write the rational expression in simplest form.

Accepted Answer

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B)    
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D)    
E)    
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D)    
E)

Question 8

Perform the indicated operation below and write the answer in scientific notation.

Accepted Answer

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D)    
E)    
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B)    
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D)    
E)

Question 9

Use inequality notation to describe the set. p is at least -12 but less than -9

Accepted Answer

A)  -9 $\le$ p < -12 
B)  -9 < p $\le$ -12 
C)  -12 $\le$ p < -9 
D)  -12 $\le$ p $\le$ -9 
E)  -12 < p < -9 
A)  -9 $\le$ p < -12 
B)  -9 < p $\le$ -12 
C)  -12 $\le$ p < -9 
D)  -12 $\le$ p $\le$ -9 
E)  -12 < p < -9

Question 10

A stream of water moving at a rate of   feet per second can carry particles of size   inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of   feet per second.Round to the nearest thousandth of an inch.

Accepted Answer

A)  0.028 inch 
B)  0.032 inch 
C)  0.016 inch 
D)  0.025 inch 
E)  0.038 inch 
A)  0.028 inch 
B)  0.032 inch 
C)  0.016 inch 
D)  0.025 inch 
E)  0.038 inch

Question 11

Evaluate the expression.

Accepted Answer

A)  3 
B)  -3 
C)  15 
D)  -15 
E)  54 
A)  3 
B)  -3 
C)  15 
D)  -15 
E)  54

Question 12

The quality control inspector for a tire factory is testing the rim diameter of various tires.A tire is rejected if its rim diameter varies too much from its expected measure.The diameter should not differ by more than 0.11 inch or by more than   of the expected diameter measure.Find the widest range of allowable values for the actual diameter if the expected diameter is 16.000 inches.Round to the nearest thousandth.

Accepted Answer

A)  between 15.890 inches and 16.024 inches 
B)  between 15.976 inches and 16.110 inches 
C)  between 15.976 inches and 16.024 inches 
D)  between 15.890 inches and 16.000 inches 
E)  between 15.890 inches and 16.110 inches 
A)  between 15.890 inches and 16.024 inches 
B)  between 15.976 inches and 16.110 inches 
C)  between 15.976 inches and 16.024 inches 
D)  between 15.890 inches and 16.000 inches 
E)  between 15.890 inches and 16.110 inches

Question 13

Write the number in decimal notation. One milligram equals approximately 3.5 $\times$ 10-5 ounces.

Accepted Answer

A)  0.000035 
B)  0.0035 
C)  0.00035 
D)  -0.000035 
E)  3.5 
A)  0.000035 
B)  0.0035 
C)  0.00035 
D)  -0.000035 
E)  3.5

Question 14

Find the product below.

Accepted Answer

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D)    
E)    
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D)    
E)

Question 15

Write the rational expression in simplest form.

Accepted Answer

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E)

Question 16

Factor the trinomial. u2 - 8u + 12

Accepted Answer

A)  u(u - 8) + 12 
B)  u(u + 4) 
C)  (u + 2)(u - 6) 
D)  (u - 2)(u - 6) 
E)  (u + 2)(u + 6) 
A)  u(u - 8) + 12 
B)  u(u + 4) 
C)  (u + 2)(u - 6) 
D)  (u - 2)(u - 6) 
E)  (u + 2)(u + 6)

Question 17

Perform the operation and write the result in standard form.

Accepted Answer

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B)    
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D)    
E)    
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B)    
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D)    
E)

Question 18

Perform the indicated operations below and simplify.

Accepted Answer

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B)      
C)      
D)      
E)      
A)      
B)      
C)      
D)      
E)

Question 19

Determine which numbers in the set are rational numbers.

Accepted Answer

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E)

Question 20

Perform the multiplication and simplify.

Accepted Answer

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E)    
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E)

Approximate the numbers and place the correct symbol (< or >) between them.

Factor the difference of two squares. 49 - (m + 4) ²

Simplify the following rational expression.

Completely factor the expression below.

Identify the rules of algebra illustrated from left to right by the following statement.

Identify the rule of algebra illustrated by the statement. 7n + 2n = (7 + 2)n

Write the rational expression in simplest form.

Perform the indicated operation below and write the answer in scientific notation.

Use inequality notation to describe the set. p is at least -12 but less than -9

A stream of water moving at a rate of feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of feet per second.Round to the nearest thousandth of an inch.

Evaluate the expression.

Write the number in decimal notation. One milligram equals approximately 3.5 $\times$ 10^-⁵ ounces.

Find the product below.

Write the rational expression in simplest form.

Factor the trinomial. u² - 8u + 12

Perform the operation and write the result in standard form.

Perform the indicated operations below and simplify.

Determine which numbers in the set are rational numbers.

Perform the multiplication and simplify.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

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Exam 1: Fundamental Concepts of Algebra

Approximate the numbers and place the correct symbol (< or >) between them.

Factor the difference of two squares. 49 - (m + 4) 2

Simplify the following rational expression.

Completely factor the expression below.

Identify the rules of algebra illustrated from left to right by the following statement.

Identify the rule of algebra illustrated by the statement. 7n + 2n = (7 + 2)n

Write the rational expression in simplest form.

Perform the indicated operation below and write the answer in scientific notation.

Use inequality notation to describe the set. p is at least -12 but less than -9

A stream of water moving at a rate of feet per second can carry particles of size inches.Find the size of the largest particle that can be carried by a stream flowing at the rate of feet per second.Round to the nearest thousandth of an inch.

Evaluate the expression.

Write the number in decimal notation. One milligram equals approximately 3.5 ×\times× 10-5 ounces.

Find the product below.

Write the rational expression in simplest form.

Factor the trinomial. u2 - 8u + 12

Perform the operation and write the result in standard form.

Perform the indicated operations below and simplify.

Determine which numbers in the set are rational numbers.

Perform the multiplication and simplify.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences, Series, and Probability

Filters

Factor the difference of two squares. 49 - (m + 4) ²

Write the number in decimal notation. One milligram equals approximately 3.5 $\times$ 10^-⁵ ounces.

Factor the trinomial. u² - 8u + 12