Question 1

Solve using the multiplication principle.
--

Accepted Answer

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

Question 2

Translate the sentence to an inequality.
-Four times a number less twenty-six must be more than fifty.

Accepted Answer

A)    
B)    
C)  4(x - 26) > 50 
D)  4x - 26 > 50 
A)    
B)    
C)  4(x - 26) > 50 
D)  4x - 26 > 50

Question 3

Solve the problem.
-Jennifer's annual salary was $23,000 last year and increased 35% this year. Find Jennifer's current annual salary.

Accepted Answer

A)  $31,050 
B)  $8050 
C)  $39,100 
D)  $26,950 
A)  $31,050 
B)  $8050 
C)  $39,100 
D)  $26,950

Question 4

Solve.
-6.6 - 2.6(x + 4.4) = 9 - 5(x + 2)

Accepted Answer

A)  5.6 
B)  15.6 
C)  1.6 
D)  10.6 
A)  5.6 
B)  15.6 
C)  1.6 
D)  10.6

Question 5

Solve the problem.
-One side of a triangle is 2 cm shorter than the base, x. The other side is 4 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 38 cm?

Accepted Answer

A)    
B)    
C)    
D)  x > 10 
A)    
B)    
C)    
D)  x > 10

Question 6

Solve the problem.
-A salesperson has two job offers. Company A offers a weekly salary of $240 plus commission of 8% of sales. Company B offers a weekly salary of $480 plus commission of 4% of sales. What is the amount of sales above
Which Company A's offer is the better of the two?

Accepted Answer

A)  $12,000 
B)  $3000 
C)  $6000 
D)  $6100 
A)  $12,000 
B)  $3000 
C)  $6000 
D)  $6100

Question 7

Solve the problem. Round to the nearest hundredth, if necessary.
-What number is 8.7% of 41?

Accepted Answer

A)  3.57 
B)  0.36 
C)  357 
D)  35.7 
A)  3.57 
B)  0.36 
C)  357 
D)  35.7

Question 8

Solve the problem. Round to the nearest hundredth, if necessary.
-50% of what number is 87?

Accepted Answer

A)  1740 
B)  43.5 
C)  17.4 
D)  174 
A)  1740 
B)  43.5 
C)  17.4 
D)  174

Question 9

Solve the problem.
-In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least 118.51°F. Find the Celsius temperatures at which the reaction may occur.

Accepted Answer

A)    
B)    
C)  C < 245.32° 
D)    
A)    
B)    
C)  C < 245.32° 
D)

Question 10

Solve the problem. Round to the nearest tenth of a percent.
-961 is what percent of 1679?

Accepted Answer

A)  174.7% 
B)  0.1% 
C)  0.6% 
D)  57.2% 
A)  174.7% 
B)  0.1% 
C)  0.6% 
D)  57.2%

Question 11

Solve the problem.
-CopyMart charges $27 plus 45¢ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $77.85? (Hint: 45¢ = $0.45)

Accepted Answer

A)  17 brochures 
B)  123 brochures 
C)  47 brochures 
D)  113 brochures 
A)  17 brochures 
B)  123 brochures 
C)  47 brochures 
D)  113 brochures

Question 12

Solve using the multiplication principle.
--x = -11

Accepted Answer

A)  -10 
B)    
C)  -11 
D)  11 
A)  -10 
B)    
C)  -11 
D)  11

Question 13

Solve the problem.
-Sales of frozen pizza for a club fund-raiser increased from 500 one year to 585 the next year. What was the percent of increase?

Accepted Answer

A)  14.5% 
B)  17% 
C)  85.5% 
D)  83% 
A)  14.5% 
B)  17% 
C)  85.5% 
D)  83%

Question 14

Solve the problem.
-If Gloria received a 3 percent raise and is now making $21,630 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Accepted Answer

A)  $21,000 
B)  $19,630 
C)  $20,981 
D)  $22,000 
A)  $21,000 
B)  $19,630 
C)  $20,981 
D)  $22,000

Question 15

Solve.
-5x - 2 + 7x - 6 = 7x + 5x + 8

Accepted Answer

A)  All real numbers 
B)  8 
C)  No solution 
D)  0 
A)  All real numbers 
B)  8 
C)  No solution 
D)  0

Question 16

Solve.
-10k + 1 = 2(5k - 4)

Accepted Answer

A)  5 
B)  No solution 
C)  All real numbers 
D)  -5 
A)  5 
B)  No solution 
C)  All real numbers 
D)  -5

Question 17

Graph the inequality.
--4 < x < 0

Accepted Answer

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

Question 18

Solve the problem.
-A shop keeper is making a triangular sign for his store front, but he must keep the sign under   to adhere to zoning laws. If the base of the sign is 4 ft, what is the maximum height of the triangular sign?

Accepted Answer

A)  2.500 ft 
B)  10.0 ft 
C)  36 ft 
D)  5.00 ft 
A)  2.500 ft 
B)  10.0 ft 
C)  36 ft 
D)  5.00 ft

Question 19

Evaluate the formula for the given values of the variables.
-When all n teams in a league play every other team twice, a total of N games are played, where   basketball league has 5 teams and all teams play each other twice. How many games are played?

Accepted Answer

A)  15 games 
B)  5 games 
C)  20 games 
D)  30 games 
A)  15 games 
B)  5 games 
C)  20 games 
D)  30 games

Question 20

Solve the equation using the addition principle.
--7 + b = 11

Accepted Answer

A)  -18 
B)  4 
C)  -4 
D)  18 
A)  -18 
B)  4 
C)  -4 
D)  18

Solve using the multiplication principle. --

Translate the sentence to an inequality. -Four times a number less twenty-six must be more than fifty.

Solve the problem. -Jennifer's annual salary was $23,000 last year and increased 35% this year. Find Jennifer's current annual salary.

Solve. -6.6 - 2.6(x + 4.4) = 9 - 5(x + 2)

Solve the problem. -One side of a triangle is 2 cm shorter than the base, x. The other side is 4 cm longer than the base. What lengths of the base will allow the perimeter of the triangle to be at least 38 cm?

Solve the problem. -A salesperson has two job offers. Company A offers a weekly salary of $240 plus commission of 8% of sales. Company B offers a weekly salary of $480 plus commission of 4% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

Solve the problem. Round to the nearest hundredth, if necessary. -What number is 8.7% of 41?

Solve the problem. Round to the nearest hundredth, if necessary. -50% of what number is 87?

Solve the problem. -In order for a chemical reaction to take place, the Fahrenheit temperature of the reagents must be at least 118.51°F. Find the Celsius temperatures at which the reaction may occur.

Solve the problem. Round to the nearest tenth of a percent. -961 is what percent of 1679?

Solve the problem. -CopyMart charges $27 plus 45¢ per copy to produce promotional brochures. How many brochures can Steve purchase if he has a budget of $77.85? (Hint: 45¢ = $0.45)

Solve using the multiplication principle. --x = -11

Solve the problem. -Sales of frozen pizza for a club fund-raiser increased from 500 one year to 585 the next year. What was the percent of increase?

Solve the problem. -If Gloria received a 3 percent raise and is now making $21,630 a year, what was her salary before the raise? Round to the nearest dollar if necessary.

Solve. -5x - 2 + 7x - 6 = 7x + 5x + 8

Solve. -10k + 1 = 2(5k - 4)

Graph the inequality. --4 < x < 0

Solve the problem. -A shop keeper is making a triangular sign for his store front, but he must keep the sign under to adhere to zoning laws. If the base of the sign is 4 ft, what is the maximum height of the triangular sign?

Evaluate the formula for the given values of the variables. -When all n teams in a league play every other team twice, a total of N games are played, where basketball league has 5 teams and all teams play each other twice. How many games are played?

Solve the equation using the addition principle. --7 + b = 11

Introduction

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Calculating Means and Medians of Data Sets

Filters

Exam 3: Solving Equations and Inequalities