Question 1

Simplify the expression. First use the distributive property to remove any parentheses.
-5x + 2(x + 5)

Accepted Answer

A)  6x + 10 
B)  10x + 7 
C)  7x + 10 
D)  7x - 10 
A)  6x + 10 
B)  10x + 7 
C)  7x + 10 
D)  7x - 10

Question 2

Solve.
-Find the height of a right circular cylinder whose volume is 100π cubic feet and whose radius is 5 feet.

Accepted Answer

A)  4 ft 
B)  20 ft 
C)  5 ft 
D)  16 ft 
A)  4 ft 
B)  20 ft 
C)  5 ft 
D)  16 ft

Question 3

Solve the equation.
-0.50x - 0.20(50 + x) = -0.02(50)

Accepted Answer

A)  40 
B)  15 
C)  20 
D)  30 
A)  40 
B)  15 
C)  20 
D)  30

Question 4

Solve.
-The length of a rectangular room is 3 feet longer than twice the width. If the room's perimeter is 126 feet, what are the room's dimensions?

Accepted Answer

A)  Width = 40 ft; length = 86 ft 
B)  Width = 30 ft; length = 33 ft 
C)  Width = 25 ft; length = 53 ft 
D)  Width = 20 ft; length = 43 ft 
A)  Width = 40 ft; length = 86 ft 
B)  Width = 30 ft; length = 33 ft 
C)  Width = 25 ft; length = 53 ft 
D)  Width = 20 ft; length = 43 ft

Question 5

Solve.
-A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $50 under this promotional deal, how many minutes of phone
Calls did he make? Round to the nearest integer, if necessary.

Accepted Answer

A)  1300 
B)  7 
C)  700 
D)  2 
A)  1300 
B)  7 
C)  700 
D)  2

Question 6

Solve. Round all amounts to one decimal place.
-What number is 83% of 200?

Accepted Answer

A)  166 
B)  16.6 
C)  16,600 
D)  1660 
A)  166 
B)  16.6 
C)  16,600 
D)  1660

Question 7

Solve the equation.
-$9 x + 7 ( - 2 x - 3 ) = - 24 - 2 x$

Accepted Answer

A)  1 
B)  $\frac { 45 } { 7 }$ 
C)  15 
D)  $- 1$ 
A)  1 
B)  $\frac { 45 } { 7 }$ 
C)  15 
D)  $- 1$

Question 8

Solve the formula for the specified variable.
-$A = \frac { 1 } { 2 } b h \quad \text { for } b$

Accepted Answer

A)  $b = \frac { A } { 2 h }$ 
B)  $b = \frac { 2 \mathrm {~A} } { \mathrm {~h} }$ 
C)  $b = \frac { A h } { 2 }$ 
D)  $b = \frac { h } { 2 \mathrm {~A} }$ 
A)  $b = \frac { A } { 2 h }$ 
B)  $b = \frac { 2 \mathrm {~A} } { \mathrm {~h} }$ 
C)  $b = \frac { A h } { 2 }$ 
D)  $b = \frac { h } { 2 \mathrm {~A} }$

Question 9

Solve the problem.
-Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $45.35. How many dimes did she deposit?

Accepted Answer

A)  299 dimes 
B)  309 dimes 
C)  304 dimes 
D)  603 dimes 
A)  299 dimes 
B)  309 dimes 
C)  304 dimes 
D)  603 dimes

Question 10

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-4(x - 5) - (3x + 9) = 4

Accepted Answer

A)  - 18 
B)  - 25 
C)  33 
D)  - 33 
A)  - 18 
B)  - 25 
C)  33 
D)  - 33

Question 11

Solve the equation.
-0.25(80) + 0.60x = 0.40(80 + x)

Accepted Answer

A)  60 
B)  30 
C)  50 
D)  70 
A)  60 
B)  30 
C)  50 
D)  70

Question 12

Simplify the expression by combining any like terms.
-$4 y + y - 9 y$

Accepted Answer

A)  $- 4 y$ 
B)  $- 5 y$ 
C)  $- 5 y + y$ 
D)  $- 6 y$ 
A)  $- 4 y$ 
B)  $- 5 y$ 
C)  $- 5 y + y$ 
D)  $- 6 y$

Question 13

Solve the problem.
-Jon throws all his nickels and dimes in a jar at home each day. He counted all his coins one day and found that he had collected $37.45. If there were five times as many nickels as dimes, how many of Each coin does he have?

Accepted Answer

A)  535 dimes; 530 nickels 
B)  535 dimes; 107 nickels 
C)  107 dimes; 5 nickels 
D)  107 dimes; 535 nickels 
A)  535 dimes; 530 nickels 
B)  535 dimes; 107 nickels 
C)  107 dimes; 5 nickels 
D)  107 dimes; 535 nickels

Question 14

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-A store is advertising a 41% off sale on all new DVD releases. Find the sale price of a newly released DVD collectors set that regularly sells for $92.00.

Accepted Answer

A)  $3.77 
B)  $54.28 
C)  $37.72 
D)  $88.23 
A)  $3.77 
B)  $54.28 
C)  $37.72 
D)  $88.23

Question 15

Solve the inequality. Graph the solution set and write it in interval notation.
-$\frac { 2 ( 5 x + 1 ) } { 4 } > 2$

Accepted Answer

A)  $\left(\infty, \frac{3}{5}\right)$
  
B)  $\left(\infty, -\frac{3}{5}\right)$
  
C)  $\left( \frac { 3 } { 5 } , \infty \right)$
  
D)  $\left( - \frac { 3 } { 5 } , \infty \right)$
  
A)  $\left(\infty, \frac{3}{5}\right)$
  
B)  $\left(\infty, -\frac{3}{5}\right)$
  
C)  $\left( \frac { 3 } { 5 } , \infty \right)$
  
D)  $\left( - \frac { 3 } { 5 } , \infty \right)$

Question 16

Solve.
-The area of a rectangle must be at least 78 square feet. If the length is 6 feet, find the minimum for the rectangle's width.

Accepted Answer

A)  $\frac { 1 } { 13 } \mathrm { ft }$ 
B)  $14 \mathrm { ft }$ 
C)  $33 \mathrm { ft }$ 
D)  $13 \mathrm { ft }$ 
A)  $\frac { 1 } { 13 } \mathrm { ft }$ 
B)  $14 \mathrm { ft }$ 
C)  $33 \mathrm { ft }$ 
D)  $13 \mathrm { ft }$

Question 17

Solve the equation.
-$\frac { 1 } { 2 } x - \frac { 1 } { 2 } = - 2$

Accepted Answer

A)  $- 3$ 
B)  $- 5$ 
C)  5 
D)  3 
A)  $- 3$ 
B)  $- 5$ 
C)  5 
D)  3

Question 18

Solve. Round all amounts to one decimal place.
-80% of what number is 62?

Accepted Answer

A)  7.8 
B)  77.5 
C)  775 
D)  49.6 
A)  7.8 
B)  77.5 
C)  775 
D)  49.6

Question 19

Graph the inequality on a number line. Then write the solution in interval notation.
-$x < 5$

Accepted Answer

A)  $(-\infty, 5]$
  
B) $(-\infty, 5)$
  
C) $[ 5 , \infty )$
  
D) $( 5 , \infty )$
  
A)  $(-\infty, 5]$
  
B) $(-\infty, 5)$
  
C) $[ 5 , \infty )$
  
D) $( 5 , \infty )$

Question 20

Simplify the expression by combining any like terms.
-8x + 1 + 2x + x - 4

Accepted Answer

A)  9x - 3 
B)  10x - 3 
C)  10x + 3 
D)  11x - 3 
A)  9x - 3 
B)  10x - 3 
C)  10x + 3 
D)  11x - 3

Simplify the expression. First use the distributive property to remove any parentheses. -5x + 2(x + 5)

Solve. -Find the height of a right circular cylinder whose volume is 100π cubic feet and whose radius is 5 feet.

Solve the equation. -0.50x - 0.20(50 + x) = -0.02(50)

Solve. -The length of a rectangular room is 3 feet longer than twice the width. If the room's perimeter is 126 feet, what are the room's dimensions?

Solve. -A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $50 under this promotional deal, how many minutes of phone Calls did he make? Round to the nearest integer, if necessary.

Solve. Round all amounts to one decimal place. -What number is 83% of 200?

Solve the equation. - $9 x + 7 ( - 2 x - 3 ) = - 24 - 2 x$

Solve the formula for the specified variable. - $A = \frac { 1 } { 2 } b h \quad \text { for } b$

Solve the problem. -Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $45.35. How many dimes did she deposit?

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -4(x - 5) - (3x + 9) = 4

Solve the equation. -0.25(80) + 0.60x = 0.40(80 + x)

Simplify the expression by combining any like terms. - $4 y + y - 9 y$

Solve the problem. -Jon throws all his nickels and dimes in a jar at home each day. He counted all his coins one day and found that he had collected $37.45. If there were five times as many nickels as dimes, how many of Each coin does he have?

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -A store is advertising a 41% off sale on all new DVD releases. Find the sale price of a newly released DVD collectors set that regularly sells for $92.00.

Solve the inequality. Graph the solution set and write it in interval notation. - $\frac { 2 ( 5 x + 1 ) } { 4 } > 2$ $Solve the inequality. Graph the solution set and write it in interval notation. - \frac { 2 ( 5 x + 1 ) } { 4 } > 2$

Solve. -The area of a rectangle must be at least 78 square feet. If the length is 6 feet, find the minimum for the rectangle's width.

Solve the equation. - $\frac { 1 } { 2 } x - \frac { 1 } { 2 } = - 2$

Solve. Round all amounts to one decimal place. -80% of what number is 62?

Graph the inequality on a number line. Then write the solution in interval notation. - $x < 5$

Simplify the expression by combining any like terms. -8x + 1 + 2x + x - 4

Review of Real Numbers

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Equations, Inequalities, and Problem Solving