Question 1

Solve the problem.
-Andy left a $15 \%$ tip for a meal that cost $\$ 59$. What was the total cost of the meal including the tip?

Accepted Answer

A)  $\$ 8.85$ 
B)  $\$ 76.70$ 
C)  $\$ 50.15$ 
D)  $\$ 67.85$ 
A)  $\$ 8.85$ 
B)  $\$ 76.70$ 
C)  $\$ 50.15$ 
D)  $\$ 67.85$ D

Question 2

Solve.
-A city government budgeted $\$ 39.7$ million for public transportation. This was $\$ 16.4$ million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Accepted Answer

A)  $\$ 22.8$ million 
B)  $\$ 24.3$ million 
C)  $\$ 23.3$ million 
D)  $\$ 27.3$ million 
A)  $\$ 22.8$ million 
B)  $\$ 24.3$ million 
C)  $\$ 23.3$ million 
D)  $\$ 27.3$ million C

Question 3

Solve the problem.
-After spending $\$ 3250$ for tables and $\$ 2350$ for chairs a convention center manager finds that the furniture cost 3\% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Accepted Answer

A)  $\$ 5773$ 
B)  $\$ 2423$ 
C)  $\$ 168$ 
D)  $\$ 5437$ 
A)  $\$ 5773$ 
B)  $\$ 2423$ 
C)  $\$ 168$ 
D)  $\$ 5437$ D

Question 4

Solve.
-$7.4 x-12.9 x=-99$

Accepted Answer

A)  19 
B)  20 
C)  18 
D)  17 
A)  19 
B)  20 
C)  18 
D)  17

Question 5

Solve the equation using the addition principle.
-$-25.4=25.0+\mathrm{s}$

Accepted Answer

A)  50.4 
B)  -50.4 
C)  -0.4 
D)  0.4 
A)  50.4 
B)  -50.4 
C)  -0.4 
D)  0.4

Question 6

Solve the problem. Round to the nearest hundredth, if necessary.
-What is $87 \%$ of 483 ?

Accepted Answer

A)  4202.1 
B)  42.02 
C)  42,021 
D)  420.21 
A)  4202.1 
B)  42.02 
C)  42,021 
D)  420.21

Question 7

Solve the equation using the addition principle.
-$\frac{1}{5}+x=4$

Accepted Answer

A)  $\frac{19}{5}$ 
B)  $\frac{3}{5}$ 
C)  19 
D)  $\frac{21}{5}$ 
A)  $\frac{19}{5}$ 
B)  $\frac{3}{5}$ 
C)  19 
D)  $\frac{21}{5}$

Question 8

Solve the problem. Round to the nearest hundredth, if necessary.
-84 is $70 \%$ of what number?

Accepted Answer

A)  1200 
B)  58.8 
C)  12 
D)  120 
A)  1200 
B)  58.8 
C)  12 
D)  120

Question 9

Solve the problem. Round to the nearest tenth of a percent.
-What percent of 52 is 586 ?

Accepted Answer

A)  $1126.9 \%$ 
B)  $0.9 \%$ 
C)  $112.7 \%$ 
D)  $0.1 \%$ 
A)  $1126.9 \%$ 
B)  $0.9 \%$ 
C)  $112.7 \%$ 
D)  $0.1 \%$

Question 10

Solve the problem. Round to the nearest hundredth, if necessary.
-What number is $7000 \%$ of 386 ?

Accepted Answer

A)  27,020 
B)  $2,702,000$ 
C)  2702 
D)  270,200 
A)  27,020 
B)  $2,702,000$ 
C)  2702 
D)  270,200

Question 11

Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of 1800 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

A)  $500 \mathrm{ft}, 500 \mathrm{ft}, 500 \mathrm{ft}$ 
B)  $500 \mathrm{ft}, 700 \mathrm{ft}, 900 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$ 
D)  $400 \mathrm{ft}, 600 \mathrm{ft}, 800 \mathrm{ft}$ 
A)  $500 \mathrm{ft}, 500 \mathrm{ft}, 500 \mathrm{ft}$ 
B)  $500 \mathrm{ft}, 700 \mathrm{ft}, 900 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$ 
D)  $400 \mathrm{ft}, 600 \mathrm{ft}, 800 \mathrm{ft}$

Question 12

Translate the sentence to an inequality.
-A number is less than or equal to 8 .

Accepted Answer

A) $x \leq 8$ B) $x \geq 8$ C) $x>8$ D) $x<8$ A) $x \leq 8$ B) $x \geq 8$ C) $x>8$ D) $x<8$

Question 13

Determine whether the given number is a solution of the inequality.
-$\mathrm{x} \leq-2,-5.5$

Accepted Answer

A) True 
 B)False

Question 14

Solve the problem.
-One side of a rectangle is 12 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at least 54 ?

Accepted Answer

A)  $x \leq 15$ 
B)    
C)  $x \geq 15$ 
D)  $x<15$ 
A)  $x \leq 15$ 
B)    
C)  $x \geq 15$ 
D)  $x<15$

Question 15

Solve using the multiplication principle.
-$-\frac{3}{7} x=-12.75$

Accepted Answer

A)  16.75 
B)  26.75 
C)  5.75 
D)  29.75 
A)  16.75 
B)  26.75 
C)  5.75 
D)  29.75

Question 16

Solve.
-$4 y-7=5+y$

Accepted Answer

A)  4 
B)  $\frac{12}{5}$ 
C)  $-\frac{2}{3}$ 
D)  $-\frac{2}{5}$ 
A)  4 
B)  $\frac{12}{5}$ 
C)  $-\frac{2}{3}$ 
D)  $-\frac{2}{5}$

Question 17

Solve.
-$10 x-6=58-6 x$

Accepted Answer

A)  13 
B)  4 
C)  -4 
D)  16 
A)  13 
B)  4 
C)  -4 
D)  16

Question 18

Solve.
-$-3+7 p=-6$

Accepted Answer

A)  $-\frac{10}{7}$ 
B)  $-\frac{9}{7}$ 
C)  $-\frac{3}{7}$ 
D)  $\frac{3}{7}$ 
A)  $-\frac{10}{7}$ 
B)  $-\frac{9}{7}$ 
C)  $-\frac{3}{7}$ 
D)  $\frac{3}{7}$

Question 19

Solve the problem.
-Jennifer's annual salary increased from $\$ 28,000$ to $\$ 43,000$ over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Accepted Answer

A)  $53.6 \%$ 
B)  $34.9 \%$ 
C)  $5.4 \%$ 
D)  $0.5 \%$ 
A)  $53.6 \%$ 
B)  $34.9 \%$ 
C)  $5.4 \%$ 
D)  $0.5 \%$

Question 20

Solve the problem.
-The sum of three consecutive odd integers is 159 . Find the integers.

Accepted Answer

A)  $51,53,55$ 
B)  $53,55,57$ 
C)  $46,47,48$ 
D)  $55,57,59$ 
A)  $51,53,55$ 
B)  $53,55,57$ 
C)  $46,47,48$ 
D)  $55,57,59$

Solve the problem. -Andy left a $15 \%$ tip for a meal that cost $\$ 59$ . What was the total cost of the meal including the tip?

Solve. -A city government budgeted $\$ 39.7$ million for public transportation. This was $\$ 16.4$ million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Solve the problem. -After spending $\$ 3250$ for tables and $\$ 2350$ for chairs a convention center manager finds that the furniture cost 3\% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Solve. - $7.4 x-12.9 x=-99$

Solve the equation using the addition principle. - $-25.4=25.0+\mathrm{s}$

Solve the problem. Round to the nearest hundredth, if necessary. -What is $87 \%$ of 483 ?

Solve the equation using the addition principle. - $\frac{1}{5}+x=4$

Solve the problem. Round to the nearest hundredth, if necessary. -84 is $70 \%$ of what number?

Solve the problem. Round to the nearest tenth of a percent. -What percent of 52 is 586 ?

Solve the problem. Round to the nearest hundredth, if necessary. -What number is $7000 \%$ of 386 ?

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of 1800 feet. One side is 200 feet longer than the shortest side, while the third side is 400 feet longer than the shortest side. Find the lengths of all three sides.

Translate the sentence to an inequality. -A number is less than or equal to 8 .

Determine whether the given number is a solution of the inequality. - $\mathrm{x} \leq-2,-5.5$

Solve the problem. -One side of a rectangle is 12 inches and the other side is $x$ inches. What values of $x$ will make the perimeter at least 54 ?

Solve using the multiplication principle. - $-\frac{3}{7} x=-12.75$

Solve. - $4 y-7=5+y$

Solve. - $10 x-6=58-6 x$

Solve. - $-3+7 p=-6$

Solve the problem. -Jennifer's annual salary increased from $\$ 28,000$ to $\$ 43,000$ over the last five years. Find the percent increase in her salary during this time period. Round to the nearest tenth of a percent.

Solve the problem. -The sum of three consecutive odd integers is 159 . Find the integers.

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Introduction to Real Numbers and Algebraic Expressions

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 8: Solving Equations and Inequalities

Solve the problem. -Andy left a 15%15 \%15% tip for a meal that cost $59\$ 59$59 . What was the total cost of the meal including the tip?

Solve. -A city government budgeted $39.7\$ 39.7$39.7 million for public transportation. This was $16.4\$ 16.4$16.4 million more than was budgeted for parks and recreation. How much was budgeted for parks and recreation?

Solve the problem. -After spending $3250\$ 3250$3250 for tables and $2350\$ 2350$2350 for chairs a convention center manager finds that the furniture cost 3\% more than last year. Find the amount that he spent last year on tables and chairs. Round your answer to the nearest dollar.

Solve. - 7.4x−12.9x=−997.4 x-12.9 x=-997.4x−12.9x=−99

Solve the equation using the addition principle. - −25.4=25.0+s-25.4=25.0+\mathrm{s}−25.4=25.0+s

Solve the problem. Round to the nearest hundredth, if necessary. -What is 87%87 \%87% of 483 ?

Solve the equation using the addition principle. - 15+x=4\frac{1}{5}+x=451​+x=4

Solve the problem. Round to the nearest hundredth, if necessary. -84 is 70%70 \%70% of what number?