Question 1

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-A retail store had monthly sales of $ 75,200 and spent 2% of it on legal fees. How much was spent on legal fees?

Accepted Answer

A)  $ 1504 
B)  $ 15,040 
C)  $ 376,000 
D)  $ 3,760,000

Question 2

Solve the inequality. Write the solution set in interval notation and graph it.
-1( -6x - 14) + 5(x - 4) > 1( -6x - 12) + 3(x + 16)

Accepted Answer

A)  (-$\infty$, -35)
 
B)  ( 35, $\infty$)
 
C)  ( -35, $\infty$)
 
D)  (-$\infty$, 35)

Question 3

Solve the equation.
--0.08y + 0.15( 6000 - y) = 0.02y

Accepted Answer

A)  { 225} 
B)  { 10,800} 
C)  { 2250} 
D)  { 3600}

Question 4

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-C = 2$\pi$r; C = 12.56, $\pi$ = 3.14

Accepted Answer

A)  15.70 
B)  2 
C)  78.88 
D)  4

Question 5

Choose the one alternative that best completes the statement or answers the question. Solve the problem.
-Find the measure of an angle such that the sum of the measures of its complement and its supplement is 176°.

Accepted Answer

A)  4° 
B)  47° 
C)  2° 
D)  42°

Question 6

Solve the problem.
-Jay drove 292 kilometers at the average rate of 73 kilometers per hour. How long did the trip take?

Accepted Answer

A)  3 hr  
B)   hr   
C)  5 hr  
D)  4 hr

Question 7

Solve the equation.
--  x + 2 x =  x +

Accepted Answer

A)   
B)  {0} 
C)  { 9} 
D)

Question 8

Solve the equation.
- =

Accepted Answer

A)   
B)   
C)  { 22} 
D)  { 11}

Question 9

Solve the equation.
-1.3x - 2.9 = 0.6x - 1.08

Accepted Answer

A)  { -0.385} 
B)  { 2.59} 
C)  { 2.6} 
D)  { 2.574}

Question 10

Choose the one alternative that best completes the statement or answers the question. Solve the problem.
-If 6 is added to a number and the sum is doubled, the result is -17 less than the number. Find the number.

Accepted Answer

A)  -29 
B)  5 
C)  -23 
D)  29

Question 11

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given.
-A = $\pi$r2; r = 8, $\pi$ = 3.14

Accepted Answer

A)  200.96 
B)  78.88 
C)  25.12 
D)  11.14

Question 12

Solve the equation. First simplify the expression by combining like terms.
-4.5x - 3.8 - 7.9x = -3.4x - 3.8

Accepted Answer

A)  { -1 } 
B)  { 1 } 
C)  { -3.4 } 
D)  { 0 }

Question 13

Choose the one alternative that best completes the statement or answers the question. Solve the problem.
-The difference between two positive integers is 34. One integer is three times as great as the other. Find the integers.

Accepted Answer

A)  34 and 51 
B)  51 and 85 
C)  17 and 51 
D)  17 and 34

Question 14

Solve the inequality. Write the solution set in interval notation and graph it.
-8 $\le$3t - 1 $\le$ 14

Accepted Answer

A)  [ -5, -3]
 
B)  [ 3, 5]
 
C)  ( -5, -3)
 
D)  ( 3, 5)

Question 15

Solve the problem.
-From a point on a straight road, two cars are driven in opposite directions, one at 65 miles per hour and the other at 66 miles per hour. In how many hours will they be 524 miles apart?

Accepted Answer

A)  3 hours 
B)  Not enough information 
C)  5 hours 
D)  4 hours

Question 16

Solve the problem.
-A line from the top of a cliff to the ground passes just over the top of a pole 5.0 ft high and meets the ground at a point 8.0 ft from the base of the pole. If the point is 79 ft from the base of the cliff, how high is the cliff? Round to the nearest unit.

Accepted Answer

A)  49 ft 
B)  3160 ft 
C)  395 ft 
D)  5 ft

Question 17

Solve the problem.
-Allied Plumbing spent $ 30,260 this year on general insurance alone. If total sales were $ 626,000, what percent of total sales was spent on general insurance? Round to the nearest tenth of a percent, if necessary.

Accepted Answer

A)  0.5% 
B)  4.8% 
C)  207% 
D)  20.7%

Question 18

Solve the problem.
-Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 48 patients?

Accepted Answer

A)  24 hr 
B)  8 hr 
C)  7 hr 
D)  288 hr

Question 19

Solve the equation.
-0.80x - 0.30( 40 + x) = 0.70( 40)

Accepted Answer

A)  70 
B)  40 
C)  80 
D)  90

Question 20

Provide an appropriate response.
-Which one of the following ratios is not the same as 4 to 6?

Accepted Answer

A)  6 to 4 
B)  2 to 3 
C)  20 to 30 
D)  8 to 12

Exam 3: Linear Equations and Inequalities in Two Variables; Functions

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A retail store had monthly sales of $ 75,200 and spent 2% of it on legal fees. How much was spent on legal fees?

Solve the inequality. Write the solution set in interval notation and graph it. -1( -6x - 14) + 5(x - 4) > 1( -6x - 12) + 3(x + 16)

Solve the equation. --0.08y + 0.15( 6000 - y) = 0.02y

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -C = 2 $\pi$ r; C = 12.56, $\pi$ = 3.14

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle such that the sum of the measures of its complement and its supplement is 176°.

Solve the problem. -Jay drove 292 kilometers at the average rate of 73 kilometers per hour. How long did the trip take?

Solve the equation. -- x + 2 x = x +

Solve the equation. - =

Solve the equation. -1.3x - 2.9 = 0.6x - 1.08

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -If 6 is added to a number and the sum is doubled, the result is -17 less than the number. Find the number.

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -A = $\pi$ r²; r = 8, $\pi$ = 3.14

Solve the equation. First simplify the expression by combining like terms. -4.5x - 3.8 - 7.9x = -3.4x - 3.8

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The difference between two positive integers is 34. One integer is three times as great as the other. Find the integers.

Solve the inequality. Write the solution set in interval notation and graph it. -8 $\le$ 3t - 1 $\le$ 14 $Solve the inequality. Write the solution set in interval notation and graph it. -8 \le 3t - 1 \le 14 A) [ -5, -3] B) [ 3, 5] C) ( -5, -3) D) ( 3, 5)$

Solve the problem. -From a point on a straight road, two cars are driven in opposite directions, one at 65 miles per hour and the other at 66 miles per hour. In how many hours will they be 524 miles apart?

Solve the problem. -A line from the top of a cliff to the ground passes just over the top of a pole 5.0 ft high and meets the ground at a point 8.0 ft from the base of the pole. If the point is 79 ft from the base of the cliff, how high is the cliff? Round to the nearest unit.

Solve the problem. -Allied Plumbing spent $ 30,260 this year on general insurance alone. If total sales were $ 626,000, what percent of total sales was spent on general insurance? Round to the nearest tenth of a percent, if necessary.

Solve the problem. -Dr. Smith can see 12 patients in 2 hours. At this rate, how long would it take him to see 48 patients?

Solve the equation. -0.80x - 0.30( 40 + x) = 0.70( 40)

Provide an appropriate response. -Which one of the following ratios is not the same as 4 to 6?