Question 1

Solve the equation.
-(y - 3)- (y + 9)= 4y

Accepted Answer

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

Question 2

Solve.
-Sally is making a cover for a round table. When finished, the cover will fit exactly with no excess hanging off. Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow for hemming. If the table
Has a diameter of 66 inches, how much fabric does Sally need? (Use 3.14 for.14 for $\pi$ . R. Round to 2 decimal places.)

Accepted Answer

A) 15,386 $\text { in. } 2$ 
B) 14,519.36 $\text { in. } 2$ 
C) 3846.5 in. $\text { in. } 2$ 
D) 4298.66 $\text { in. } { } ^ { 2 }$

Question 3

Solve the equation for the indicated variable.
-A = P + PRT for T

Accepted Answer

A)  $T = \frac { A - P } { P R }$ 
B)  $T = \frac { A } { R }$ 
C)  $\mathrm { T } = \frac { \mathrm { PR } } { \mathrm { A } - \mathrm { P } }$ 
D)  $\mathrm { T } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { PR } }$

Question 4

Solve. Round to the nearest tenth, if necessary.
-In the past ten years, the population of a city decreased from 200,000 to 195,000. Find the percent decrease.

Accepted Answer

A) 2.5% 
B) 3900% 
C) 2.6% 
D) 97.5%

Question 5

Solve the equation.
-12(4c - 4)= 9c - 8

Accepted Answer

A)  $\frac { 40 } { 39 }$ 
B)  $\frac { 40 } { 57 }$ 
C)  $\frac { 56 } { 39 }$ 
D) - $- \frac { 40 } { 39 }$

Question 6

Write the following as an equation, using x for the unknown number. Then solve.
-Four times a number added to 8 times the number equals 36. Find the number.

Accepted Answer

A) 4x - 8x = 36; -4.5 
B) 4x(8 + x)= 36; 4.5 
C) 4(x + 8)= 36x; 1 
D) 4x + 8x = 36; 3

Question 7

Solve.
-A standard train ticket in a certain city costs $2.00 per ride. People who use the train also have the option of purchasing a frequent rider pass for $16.50 each month. With the pass, a ticket costs only $1.25 per ride. Use an
Inequality to determine the number of train rides in a month for which purchasing the monthly pass is more
Economical than purchasing the standard train ticket.

Accepted Answer

A) 23 or more times 
B) 24 or more times 
C) 22 or more times 
D) 21 or more times

Question 8

Solve the inequality.
-$x + 4 < - 8$

Accepted Answer

A)  $\{ x \mid x \geq - 12 \}$
 
B)  $\{x \mid x \leq-12\}$
 
C)  $\{x \mid x - 12 \}$

Question 9

Solve.
-The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 330, find the house numbers.

Accepted Answer

A) 164, 328 
B) 164, 166 
C) 165, 167 
D) 163, 165

Question 10

Solve the equation.
-$\frac { 4 ( x - 4 ) } { 5 } = x - 6$

Accepted Answer

A) -14 
B) 14 
C) -10 
D) 34

Question 11

Solve.
-A chemist needs 7 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?

Accepted Answer

A) 1.4 liters of the 20% solution; 5.6 liters of the 70% solution 
B) 2.1 liters of the 20% solution; 4.9 liters of the 70% solution 
C) 2.8 liters of the 20% solution; 4.2 liters of the 70% solution 
D) 3.5 liters of the 20% solution; 3.5 liters of the 70% solution

Question 12

Solve. Round to the nearest hundredth, if necessary.
-What percent of 135 is 17.1?

Accepted Answer

A) 0.08% 
B) 0.13% 
C) 789.47% 
D) 12.67%

Question 13

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-(x - 7)- (x + 8)= 2x

Accepted Answer

A) 3 
B)  $- \frac { 15 } { 7 }$ 
C) - 3 
D)  $- \frac { 15 } { 2 }$

Question 14

Solve the inequality.
--0.2xx $\geq$ 1.4

Accepted Answer

A)  $\{ x \mid x \geq - 0.7 \}$ 
B) { $\{ x \mid x \geq - 7 \}$ 
C)  $\{ x \mid x \leq - 0.7 \}$ 
D) { $\{ x \mid x \leq - 7 \}$

Question 15

Solve. Round answers to the nearest cent.
-A store is advertising a 17% off sale on all new DVD releases. Find the sale price of a newly released DVD collectors set that regularly sells for $90.00.

Accepted Answer

A) $88.47 
B) $74.70 
C) $1.53 
D) $15.30

Question 16

Solve the equation.
-$\frac { 3 ( y - 2 ) } { 5 } = 1 - 3 y$

Accepted Answer

A)  $\frac { 11 } { 6 }$ 
B) - $- \frac { 11 } { 18 }$ 
C)  $\frac { 7 } { 6 }$ 
D)  $\frac { 11 } { 18 }$

Question 17

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { no solution } & \text { all real numbers } & \text { linear equation in one variable } \
\text { equivalent equations } & \text { formula } & \text { reversed } \
\text { linear inequality in one variable }&\text { the same }
\end{array}$$
-A(n)_______can be written in the form ax + b = c.

Accepted Answer

A) linear inequality in one variable 
B) reversed 
C) formula 
D) linear equation in one variable

Question 18

Solve.
-Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way)was 371 miles and it took him 5 hours. How fast was Ted driving? (Round answer to the nearest whole number)

Accepted Answer

A) 19 mph 
B) 186 mph 
C) 13 mph 
D) 74 mph

Question 19

Solve. Round to the nearest hundredth, if necessary.
-5% of 400 is what number?

Accepted Answer

A) 0.2 
B) 2 
C) 200 
D) 20

Question 20

Solve the equation.
--z = 7

Accepted Answer

A) -1 
B) -7 
C) 7 
D) 0

Exam 9: Equations, Inequalities, and Problem Solving

Solve the equation. -(y - 3) - (y + 9) = 4y

Solve the equation for the indicated variable. -A = P + PRT for T

Solve. Round to the nearest tenth, if necessary. -In the past ten years, the population of a city decreased from 200,000 to 195,000. Find the percent decrease.

Solve the equation. -12(4c - 4) = 9c - 8

Write the following as an equation, using x for the unknown number. Then solve. -Four times a number added to 8 times the number equals 36. Find the number.

Solve the inequality. - $x + 4 < - 8$ $Solve the inequality. - x + 4 < - 8 A) \{ x \mid x \geq - 12 \} B) \{x \mid x \leq-12\} C) \{x \mid x<-12\} D) \{ x \mid x > - 12 \}$

Solve. -The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 330, find the house numbers.

Solve the equation. - $\frac { 4 ( x - 4 ) } { 5 } = x - 6$

Solve. -A chemist needs 7 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution?

Solve. Round to the nearest hundredth, if necessary. -What percent of 135 is 17.1?

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -(x - 7) - (x + 8) = 2x

Solve the inequality. --0.2xx $\geq$ 1.4

Solve. Round answers to the nearest cent. -A store is advertising a 17% off sale on all new DVD releases. Find the sale price of a newly released DVD collectors set that regularly sells for $90.00.

Solve the equation. - $\frac { 3 ( y - 2 ) } { 5 } = 1 - 3 y$

Solve. -Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way) was 371 miles and it took him 5 hours. How fast was Ted driving? (Round answer to the nearest whole number)

Solve. Round to the nearest hundredth, if necessary. -5% of 400 is what number?

Solve the equation. --z = 7