Question 1

Solve the formula for the specified variable.
-$\mathrm { d } = \mathrm { rt } \quad$ for $\mathrm { r }$

Accepted Answer

A)  $r = \frac { d } { t }$ 
B)  $r = \frac { t } { d }$ 
C)  $\mathrm { r } = \mathrm { dt }$ 
D)  $r = d - t$

Question 2

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Sales at a local ice cream shop went up 80% in 5 years. If 12,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer, if
Necessary.)

Accepted Answer

A)  6667 ice cream cones 
B)  15,000 ice cream cones 
C)  9600 ice cream cones 
D)  2400 ice cream cones

Question 3

Solve the equation.
-$\frac { v } { - 2 } = 8$

Accepted Answer

A)  -10 
B)  16 
C)  10 
D)  -16

Question 4

Solve.
-If $26,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?

Accepted Answer

A)  $20,000 
B)  $2000 
C)  $1880 
D)  $18,800

Question 5

Solve.
-Nine times a number, added to 5 , is $- 31$. Find the number.

Accepted Answer

A)  $- 36$ 
B)  $- 4$ 
C)  $- 324$ 
D)  4

Question 6

Solve.
-Dave can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 32 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average
Speed on level ground.

Accepted Answer

A)  $6 \frac { 5 } { 7 } \mathrm { mph }$ 
B)  $4 \frac { 4 } { 7 } \mathrm { mph }$ 
C)  $3 \frac { 5 } { 7 } \mathrm { mph }$ 
D)  $7 \frac { 1 } { 7 } \mathrm { mph }$

Question 7

Solve.
-The perimeter of a triangle is 50 centimeters. Find the lengths of its sides, if the longest side is 8 centimeters longer than the shortest side, and the remaining side is 3 centimeters longer than the
Shortest side.

Accepted Answer

A)  5 cm, 10 cm, 13 cm 
B)  13 cm, 16 cm, 21 cm 
C)  13 cm, 16 cm, 24 cm 
D)  16 cm, 19 cm, 24 cm

Question 8

Graph the set of numbers given in interval notation. Then write an inequality statement in x describing the numbers
graphed.
-$(4, \infty)$

Accepted Answer

A)  $x  4$
 
C) $x \leq 4$
 
D) $x \geq 4$

Question 9

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 3 \geq \frac { 1 } { 3 } x$

Accepted Answer

A)  $( - \infty , - 9 )$
 
B)  $( - \infty , - 9 ]$
 
C) $( - 9 , \infty )$
 
D)  $[ - 9 , \infty )$

Question 10

Solve.
-Claire has received scores of 85, 88, 87, and 75 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 83? (Hint: The average
Of a list of numbers is their sum divided by the number of numbers in the list.)

Accepted Answer

A)  78 
B)  79 
C)  80 
D)  81

Question 11

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to
answer the question. 
-If State University has approximately 28,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Accepted Answer

A)  5040 students 
B)  952 students 
C)  504 students 
D)  9520 students

Question 12

Solve.
-A car rental agency advertised renting a luxury, full-size car for $29.95 per day and $0.19 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend.

Accepted Answer

A)  100 
B)  3 
C)  737 
D)  884

Question 13

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--26 + 10 = 3x + 4 - 2x

Accepted Answer

A)  -40 
B)  -20 
C)  40 
D)  20

Question 14

Solve the equation.
-t - 8 = 14

Accepted Answer

A)  -22 
B)  6 
C)  22 
D)  -6

Question 15

Solve. Round to one decimal place when necessary.
-The number $2.7$ is what percent of 24 ?

Accepted Answer

A)  $888.9 \%$ 
B)  $11.3 \%$ 
C)  $0.1 \%$ 
D)  $1.1 \%$

Question 16

Solve the equation.
--32.2 = -4.6c

Accepted Answer

A)  27.6 
B)  -27.6 
C)  7 
D)  2

Question 17

Solve the equation.
-$\frac { 1 } { 5 } ( x + 6 ) = \frac { 1 } { 7 } ( x + 8 )$

Accepted Answer

A)  $\{ 3 \}$ 
B)  $- 1$ 
C)  1 
D)  $- 12$

Question 18

Solve the equation.
--4x = 16

Accepted Answer

A)  -20 
B)  1 
C)  20 
D)  -4

Question 19

Solve the inequality. Graph the solution set and write it in interval notation.
-$42 x + 12 > 6 ( 6 x + 3 )$

Accepted Answer

A)  $( - \infty , 1 ]$
 
B)  $( - \infty , 1 )$
 
C)  $( 1 , \infty )$
 
D)  $[ 1 , \infty )$

Question 20

Simplify the expression. First use the distributive property to remove any parentheses.
-5(x + 3) + 7x + 6

Accepted Answer

A)  12x - 9 
B)  12x + 9 
C)  2x + 21 
D)  12x + 21

Exam 2: Equations, Inequalities, and Problem Solving

Solve the formula for the specified variable. - $\mathrm { d } = \mathrm { rt } \quad$ for $\mathrm { r }$

Solve the equation. - $\frac { v } { - 2 } = 8$

Solve. -If $26,000 is invested at 10% simple annual interest, how much should be invested at 12% annual simple interest so that the total yearly income from both investments is $5000?

Solve. -Nine times a number, added to 5 , is $- 31$ . Find the number.

Solve. -Dave can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 32 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average Speed on level ground.

Solve. -The perimeter of a triangle is 50 centimeters. Find the lengths of its sides, if the longest side is 8 centimeters longer than the shortest side, and the remaining side is 3 centimeters longer than the Shortest side.

Solve. -Claire has received scores of 85, 88, 87, and 75 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 83? (Hint: The average Of a list of numbers is their sum divided by the number of numbers in the list.)

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -If State University has approximately 28,000 students, about how many would you expect to consume 5-6 pizzas in a typical month?

Solve. -A car rental agency advertised renting a luxury, full-size car for $29.95 per day and $0.19 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend.

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --26 + 10 = 3x + 4 - 2x

Solve the equation. -t - 8 = 14

Solve. Round to one decimal place when necessary. -The number $2.7$ is what percent of 24 ?

Solve the equation. --32.2 = -4.6c

Solve the equation. - $\frac { 1 } { 5 } ( x + 6 ) = \frac { 1 } { 7 } ( x + 8 )$

Solve the equation. --4x = 16

Solve the inequality. Graph the solution set and write it in interval notation. - $42 x + 12 > 6 ( 6 x + 3 )$ $Solve the inequality. Graph the solution set and write it in interval notation. - 42 x + 12 > 6 ( 6 x + 3 ) A) ( - \infty , 1 ] B) ( - \infty , 1 ) C) ( 1 , \infty ) D) [ 1 , \infty )$

Simplify the expression. First use the distributive property to remove any parentheses. -5(x + 3) + 7x + 6

Exam 2: Equations, Inequalities, and Problem Solving

Solve the formula for the specified variable. - d=rt\mathrm { d } = \mathrm { rt } \quadd=rt for r\mathrm { r }r

Solve the equation. - v−2=8\frac { v } { - 2 } = 8−2v​=8