Question 1

Use the appropriate properties to evaluate 2272(4·5 - 20).

Accepted Answer

A)  51,529 
B)  12 
C)  0 
D)  2,061,160 
A)  51,529 
B)  12 
C)  0 
D)  2,061,160 C

Question 2

Evaluate: 0 F1F1F1S1F1F1F10 5

Accepted Answer

A)  0 
B)  1 
C)  Undefined 
D)  5 
A)  0 
B)  1 
C)  Undefined 
D)  5 A

Question 3

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Accepted Answer

A)  84.523 tons/hr 
B)  61.112 tons/hr 
C)  0.021 tons/hr 
D)  75.000 tons/hr 
A)  84.523 tons/hr 
B)  61.112 tons/hr 
C)  0.021 tons/hr 
D)  75.000 tons/hr D

Question 4

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r2(r·10)(rs)

Accepted Answer

A)  10r3s 
B)  10r4s2 
C)  10rs 
D)  10r4s 
A)  10r3s 
B)  10r4s2 
C)  10rs 
D)  10r4s

Question 5

Simplify: -10(s - 2) - 4(-s - 11)

Accepted Answer

A)  -14s - 24 
B)  -6s + 64 
C)  -6s - 24 
D)  -14s + 64 
A)  -14s - 24 
B)  -6s + 64 
C)  -6s - 24 
D)  -14s + 64

Question 6

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

Accepted Answer

A)  27 
B)  15 
C)  3 
D)  13 
A)  27 
B)  15 
C)  3 
D)  13

Question 7

Perform the indicated operation:

Accepted Answer

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

Question 8

Use the distributive property to factor the expression. 24p - 36

Accepted Answer

A)  6(3p - 6) 
B)  24(p - 2) 
C)  12(2p - 3) 
D)  8(3p - 4) 
A)  6(3p - 6) 
B)  24(p - 2) 
C)  12(2p - 3) 
D)  8(3p - 4)

Question 9

Simplify:

Accepted Answer

A)  -5n - 2 
B)  -5n + 2 
C)    
D)  5n - 2 
A)  -5n - 2 
B)  -5n + 2 
C)    
D)  5n - 2

Question 10

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

Accepted Answer

A)  $45,265 
B)  $74,951 
C)  $55,307 
D)  $39,317 
A)  $45,265 
B)  $74,951 
C)  $55,307 
D)  $39,317

Question 11

Evaluate: 21 + (-23)

Accepted Answer

A)  -44 
B)  44 
C)  -2 
D)  2 
A)  -44 
B)  44 
C)  -2 
D)  2

Question 12

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

Accepted Answer

A)  -u·c2 
B)  u - c2 
C)  (u - c)2 
D)  u2 - c 
A)  -u·c2 
B)  u - c2 
C)  (u - c)2 
D)  u2 - c

Question 13

Find the difference:

Accepted Answer

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

Question 14

Combine like terms if possible: 8m - (-5m)

Accepted Answer

A)  8m - (-5m) 
B)  13m 
C)  3m 
D)  -3m 
A)  8m - (-5m) 
B)  13m 
C)  3m 
D)  -3m

Question 15

Find the quotient:

Accepted Answer

A)    
B)    
C)    
D)  5 
A)    
B)    
C)    
D)  5

Question 16

Write the interval of real numbers in interval notation. The set of real numbers less than -6

Accepted Answer

A)  [-6, ∞) 
B)  (-∞, -6] 
C)  (-∞, -6) 
D)  (-6, ∞) 
A)  [-6, ∞) 
B)  (-∞, -6] 
C)  (-∞, -6) 
D)  (-6, ∞)

Question 17

Write as a product without exponents: 84

Accepted Answer

A)  8 + 8 + 8 + 8 
B)  4·8 
C)  8·8·8·8 
D)  None of these. 
A)  8 + 8 + 8 + 8 
B)  4·8 
C)  8·8·8·8 
D)  None of these.

Question 18

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Accepted Answer

A)  256 ft 
B)  80 ft 
C)  144 ft 
D)  64 ft 
A)  256 ft 
B)  80 ft 
C)  144 ft 
D)  64 ft

Question 19

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

Accepted Answer

A)  (n - 8)(n - 12) = 5 
B)  (n - 8)(n - 12)(5) 
C)  n - 8n - 12 = 5 
D)  (n - 8) + (n - 12) = 5 
A)  (n - 8)(n - 12) = 5 
B)  (n - 8)(n - 12)(5) 
C)  n - 8n - 12 = 5 
D)  (n - 8) + (n - 12) = 5

Question 20

Evaluate: (-13)(-9)

Accepted Answer

A)  -117 
B)  104 
C)  117 
D)  108 
A)  -117 
B)  104 
C)  117 
D)  108

Exam 1: Section 1: Real Numbers and Their Properties

Use the appropriate properties to evaluate 2272(4·5 - 20).

Evaluate: 0  5

A large industrial plant produces one ton of concrete every 0.80 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r2(r·10)(rs)

Simplify: -10(s - 2) - 4(-s - 11)

Evaluate: 4 - 6 + 9 - 7 - 2 + 10 + 5

Perform the indicated operation:

Use the distributive property to factor the expression. 24p - 36

Simplify:

Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

Evaluate: 21 + (-23)

Translate the verbal expression into an algebraic expression: The difference of u and the square of c

Find the difference:

Combine like terms if possible: 8m - (-5m)

Find the quotient:

Write the interval of real numbers in interval notation. The set of real numbers less than -6

Write as a product without exponents: 84

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?

Translate the given sentence into an equation: "The product of n - 8 and n - 12 is 5."

Evaluate: (-13)(-9)

Section 2: Real Numbers and Their Properties

Section 1: Linear Equations and Inequalities in One Variable

Section 2: Linear Equations and Inequalities in One Variable

Section 1: Linear Equations and Inequalities in Two Variables

Section 2: Linear Equations and Inequalities in Two Variables

Section 1: Exponents and Polynomials

Section 2: Exponents and Polynomials

Section 1: Factoring

Section 2: Factoring

Section 1: Rational Expressions

Section 2: Rational Expressions

Section 1: Systems of Linear Equations

Section 2: Systems of Linear Equations

Section 1: More on Inequalities

Section 2: More on Inequalities

Section 1: Radicals and Rational Exponents

Section 2: Radicals and Rational Exponents

Section 1: Quadratic Equations and Inequalities

Section 2: Quadratic Equations and Inequalities

Section 1: Functions

Section 2: Functions

Section 1: Exponential and Logarithmic Functions

Section 2: Exponential and Logarithmic Functions

Section 1: Nonlinear Systems and the Conic Sections

Section 2: Nonlinear Systems and the Conic Sections

Section 1: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Section 2: Sequences and Series Available Online at Www.mhhe.com/dugopolski

Mathematical Problem Set

Algebraic Equations and Problem Solving

Algebra and Math Problems

Algebraic Equation Practice

Filters

Use the appropriate properties to evaluate 227²(4·5 - 20).

Use the commutative and associative properties of multiplication and exponential notation to rewrite the given product. r²(r·10)(rs)

Write as a product without exponents: 8⁴

If a golf ball is dropped from a tall building, the distance it has fallen in feet is given by 16t², where t is the time in seconds since the ball was dropped. How far has the ball fallen after 4 seconds?