Question 1

Solve the equation.
-8x - 9x - 9 = 6x

Accepted Answer

A)  $- \frac { 9 } { 7 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 9 } { 7 }$ 
D) - $- \frac { 9 } { 5 }$ 
A)  $- \frac { 9 } { 7 }$ 
B)  $\frac { 7 } { 9 }$ 
C)  $\frac { 9 } { 7 }$ 
D) - $- \frac { 9 } { 5 }$

Question 2

Solve the inequality.
-$6 x > 114$

Accepted Answer

A) $\{ x \mid x > 19 \}$ B) $\{ x \mid x \leq 19 \}$ C) $\{ x \mid x \geq 19 \}$ D) $\{ x \mid x < 19 \}$ A) $\{ x \mid x > 19 \}$ B) $\{ x \mid x \leq 19 \}$ C) $\{ x \mid x \geq 19 \}$ D) $\{ x \mid x < 19 \}$

Question 3

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { no solution } & \text { all real numbers } & \text { linear equation in one variable } \
\text { equivalent equations } & \text { formula } & \text { reversed } \
\text { linear inequality in one variable }&\text { the same }
\end{array}$$
-The solution(s)to the equation x + 5 = x + 5 is/are_______ .

Accepted Answer

A) the same 
B) no solution 
C) all real numbers 
D) reversed 
A) the same 
B) no solution 
C) all real numbers 
D) reversed

Question 4

Solve the inequality.
-$10 x - 5 > 9 x - 11$

Accepted Answer

A)  $\{ x \mid x \leq - 16 \}$
  
B)  $\{ x \mid x \geq - 16 \}$
  
C)  $\{x \mid x - 6 \}$
  
A)  $\{ x \mid x \leq - 16 \}$
  
B)  $\{ x \mid x \geq - 16 \}$
  
C)  $\{x \mid x - 6 \}$

Question 5

Solve. Round to the nearest tenth, if necessary.
-Due to a lack of funding, the number of students enrolled at City College went from 8000 last year to 2000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary.)

Accepted Answer

A) 25% 
B) 300% 
C) 75% 
D) 400% 
A) 25% 
B) 300% 
C) 75% 
D) 400%

Question 6

Solve the equation.
-4(y 3+ 1)= 3y + 1

Accepted Answer

A)  $\frac { 7 } { 5 }$ 
B) - $- \frac { 7 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 5 }$ 
A)  $\frac { 7 } { 5 }$ 
B) - $- \frac { 7 } { 5 }$ 
C)  $\frac { 1 } { 5 }$ 
D)  $- \frac { 1 } { 5 }$

Question 7

Solve the equation.
-t - 1 = 14

Accepted Answer

A) 13 
B) 15 
C) -15 
D) -13 
A) 13 
B) 15 
C) -15 
D) -13

Question 8

Solve the inequality. Graph the solution set.
-$10 x + 7 > 9 x + 17$

Accepted Answer

A)  $\{x \mid x \leq 24\}$
  
B)  $\{ x \mid x  10 \}$
  
A)  $\{x \mid x \leq 24\}$
  
B)  $\{ x \mid x  10 \}$

Question 9

Solve. Round answers to the nearest cent.
-A store is advertising 45% off sale on everything in the store. Find the discount of a sofa that regularly sells for $2000.

Accepted Answer

A) $900.00 
B) $90.00 
C) $1910.00 
D) $1100.00 
A) $900.00 
B) $90.00 
C) $1910.00 
D) $1100.00

Question 10

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l } 
\text { no solution } & \text { all real numbers } & \text { linear equation in one variable } \
\text { equivalent equations } & \text { formula } & \text { reversed } \
\text { linear inequality in one variable }&\text { the same }
\end{array}$$
-The solution(s)to the equation x + 5 = x + 4 is/are _______.

Accepted Answer

A) the same 
B) all real numbers 
C) no solution 
D) reversed 
A) the same 
B) all real numbers 
C) no solution 
D) reversed

Question 11

Solve.
-Claire has received scores of 85, 88, 87, and 85 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 88? (Hint: The average of a list of numbers is their
Sum divided by the number of numbers in the list.)

Accepted Answer

A) 95 
B) 93 
C) 94 
D) 96 
A) 95 
B) 93 
C) 94 
D) 96

Question 12

Solve.
-The difference of a number and 3 is the same as 39 less the number. Find the number.

Accepted Answer

A) 18 
B) -18 
C) 21 
D) -21 
A) 18 
B) -18 
C) 21 
D) -21

Question 13

Solve. Round to the nearest hundredth, if necessary.
-82 is 10% of what number?

Accepted Answer

A) 8.2 
B) 8200 
C) 82 
D) 820 
A) 8.2 
B) 8200 
C) 82 
D) 820

Question 14

Solve the problem.
-Center City East Parking Garage has a capacity of 252 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1216 cars, find the capacity for each garage.

Accepted Answer

A) Center City East:482 carsCenter City West:734cars 
B) Center City East:744 carscars Center City West: 472 cars 
C) Center City East:472 carsCenter City West: 744 cars 
D) Center City East:734 cars  Center City West: 482 cars 
A) Center City East:482 carsCenter City West:734cars 
B) Center City East:744 carscars Center City West: 472 cars 
C) Center City East:472 carsCenter City West: 744 cars 
D) Center City East:734 cars  Center City West: 482 cars

Question 15

Solve the problem.
-The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $170,000, find each worker's salary.

Accepted Answer

A) president's salary = $42,500; department head's salary = $127,500 
B) president's salary = $85,000; department head's salary = $42,500 
C) president's salary = $127,500; department head's salary = $42,500 
D) president's salary = $12,750; department head's salary = $4250 
A) president's salary = $42,500; department head's salary = $127,500 
B) president's salary = $85,000; department head's salary = $42,500 
C) president's salary = $127,500; department head's salary = $42,500 
D) president's salary = $12,750; department head's salary = $4250

Question 16

Solve the problem.
-A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $51 under this promotional deal, how many minutes of phone calls did he make? Round to
The nearest integer, if necessary.

Accepted Answer

A) 720 min 
B) 1320 min 
C) 7 min 
D) 2 min 
A) 720 min 
B) 1320 min 
C) 7 min 
D) 2 min

Question 17

Solve the equation for the indicated variable.
-$\mathrm { A } = \frac { 1 } { 2 } h ( B + b )$ for B

Accepted Answer

A)  $B = \frac { 2 A - b h } { h }$ 
B)  $\mathrm { B } = \frac { 2 \mathrm {~A} + \mathrm { bh } } { \mathrm { h } }$ 
C) B = 2A - bh 
D)  $\mathrm { B } = \frac { \mathrm { A } - \mathrm { bh } } { \mathrm { h } }$ 
A)  $B = \frac { 2 A - b h } { h }$ 
B)  $\mathrm { B } = \frac { 2 \mathrm {~A} + \mathrm { bh } } { \mathrm { h } }$ 
C) B = 2A - bh 
D)  $\mathrm { B } = \frac { \mathrm { A } - \mathrm { bh } } { \mathrm { h } }$

Question 18

Solve the equation.
-$\frac { 1 } { 4 } \mathrm { f }$  - 3 = 1

Accepted Answer

A) -8 
B) 8 
C) 16 
D) -16 
A) -8 
B) 8 
C) 16 
D) -16

Question 19

Solve the equation.
--19 = 3x - 10

Accepted Answer

A) 3 
B) -3 
C) -8 
D) -12 
A) 3 
B) -3 
C) -8 
D) -12

Question 20

Solve the equation.
-$x - \frac { 1 } { 7 } = \frac { 6 } { 7 }$

Accepted Answer

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

Solve the equation. -8x - 9x - 9 = 6x

Solve the inequality. - $6 x > 114$

Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -The solution(s)to the equation x + 5 = x + 5 is/are_______ .

Solve the inequality. - $10 x - 5 > 9 x - 11$

Solve. Round to the nearest tenth, if necessary. -Due to a lack of funding, the number of students enrolled at City College went from 8000 last year to 2000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a percent, if necessary.)

Solve the equation. -4(y 3+ 1)= 3y + 1

Solve the equation. -t - 1 = 14

Solve the inequality. Graph the solution set. - $10 x + 7 > 9 x + 17$

Solve. Round answers to the nearest cent. -A store is advertising 45% off sale on everything in the store. Find the discount of a sofa that regularly sells for $2000.

Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -The solution(s)to the equation x + 5 = x + 4 is/are _______.

Solve. -Claire has received scores of 85, 88, 87, and 85 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 88? (Hint: The average of a list of numbers is their Sum divided by the number of numbers in the list.)

Solve. -The difference of a number and 3 is the same as 39 less the number. Find the number.

Solve. Round to the nearest hundredth, if necessary. -82 is 10% of what number?

Solve the problem. -Center City East Parking Garage has a capacity of 252 cars more than Center City West Parking Garage. If the combined capacity for the two garages is 1216 cars, find the capacity for each garage.

Solve the problem. -The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $170,000, find each worker's salary.

Solve the problem. -A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute for all calls. If Joe's phone bill was $51 under this promotional deal, how many minutes of phone calls did he make? Round to The nearest integer, if necessary.

Solve the equation for the indicated variable. - $\mathrm { A } = \frac { 1 } { 2 } h ( B + b )$ for B

Solve the equation. - $\frac { 1 } { 4 } \mathrm { f }$ - 3 = 1

Solve the equation. --19 = 3x - 10

Solve the equation. - $x - \frac { 1 } { 7 } = \frac { 6 } { 7 }$

The Whole Numbers

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Decimals

Ratio, Proportion, and Percent

Geometry

Statistics and Probability

Real Numbers and Introduction to Algebra

Graphing Equations and Inequalities

Systems of Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Roots and Radicals

Quadratic Equations and Nonlinear Graphs

Algebraic Equations and Inequalities

Filters

Exam 9: Equations, Inequalities, and Problem Solving