Question 1

For the compound inequality, give the solution set in both interval and graph forms.
-$4 x>4$ and $x+5<5$

Accepted Answer

A)  $[-1,0]$ 
  
B)  $[-1,0)$
  
C)  $(-1,0]$
  
D)  $\varnothing$
  
A)  $[-1,0]$ 
  
B)  $[-1,0)$
  
C)  $(-1,0]$
  
D)  $\varnothing$

Question 2

Solve the problem.
-Find the surface area of a cylinder with a radius of $5 \mathrm{~cm}$ and a height of $30 \mathrm{~cm}$. Use 3.14 for $\pi$.

Accepted Answer

A)  $1099 \mathrm{~cm}^{2}$ 
B)  $5652 \mathrm{~cm}^{2}$ 
C)  $973.4 \mathrm{~cm}^{2}$ 
D)  $942 \mathrm{~cm}^{2}$ 
A)  $1099 \mathrm{~cm}^{2}$ 
B)  $5652 \mathrm{~cm}^{2}$ 
C)  $973.4 \mathrm{~cm}^{2}$ 
D)  $942 \mathrm{~cm}^{2}$

Question 3

Solve the problem.
-Find the simple interest if $\$ 3700$ is borrowed at $15.7 \%$ for 3 months $(0.25 \mathrm{yr})$.

Accepted Answer

A)  $\$ 14,522.50$ 
B)  $\$ 145.23$ 
C)  $\$ 58.92$ 
D)  $\$ 2323.60$ 
A)  $\$ 14,522.50$ 
B)  $\$ 145.23$ 
C)  $\$ 58.92$ 
D)  $\$ 2323.60$

Question 4

This pair of equations is equivalent. $5 x-7=3$ and $8 x+6=22$

Accepted Answer

A) True 
 B)False

Question 5

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-$(2, \infty)$

Accepted Answer

A) $x>2$ B) $x \leq 2$ C) $x<2$ D) $x \geq 2$ A) $x>2$ B) $x \leq 2$ C) $x<2$ D) $x \geq 2$

Question 6

Solve the equation or inequality.
-$|-6 x-4|>-6$

Accepted Answer

A)  $\varnothing$ 
B)  $(-\infty, \infty)$ 
C)  $\left(-\frac{5}{3}, \frac{1}{3}\right)$ 
D)  $\left(-\infty, \frac{1}{3}\right)$ 
A)  $\varnothing$ 
B)  $(-\infty, \infty)$ 
C)  $\left(-\frac{5}{3}, \frac{1}{3}\right)$ 
D)  $\left(-\infty, \frac{1}{3}\right)$

Question 7

Solve the problem involving consecutive integers.
-The sum of two consecutive integers is -337 . Find the larger integer.

Accepted Answer

A)  -167 
B)  -169 
C)  -168 
D)  -170 
A)  -167 
B)  -169 
C)  -168 
D)  -170

Question 8

Solve the problem.
-Find the simple interest if $\$ 3200$ is invested at $11.3 \%$ for 2 years.

Accepted Answer

A)  $\$ 723.20$ 
B)  $\$ 566.37$ 
C)  $\$ 180.80$ 
D)  $\$ 361.60$ 
A)  $\$ 723.20$ 
B)  $\$ 566.37$ 
C)  $\$ 180.80$ 
D)  $\$ 361.60$

Question 9

Solve the inequality and graph the solution set.
-$|x|>10$

Accepted Answer

A)  $(-\infty,-10) \cup(10, \infty)$
  
B)  $(10, \infty)$
  
C)  $(-10,10)$
  
D)  $(-10, \infty)$
  
A)  $(-\infty,-10) \cup(10, \infty)$
  
B)  $(10, \infty)$
  
C)  $(-10,10)$
  
D)  $(-10, \infty)$

Question 10

Solve the compound or absolute value inequality.
-$18 \leq 7 x-3$ and $8 x-6<50$

Accepted Answer

A)  $(3,7]$ 
B)  $(3,7)$ 
C)  $[3,7]$ 
D)  $[3,7)$ 
A)  $(3,7]$ 
B)  $(3,7)$ 
C)  $[3,7]$ 
D)  $[3,7)$

Question 11

Solve the investment problem.
-Mardi received an inheritance of $\$ 40,000$. She invested part at $12 \%$ and deposited the remainder in tax-free bonds at $7 \%$. Her total annual income from the investments was $\$ 4300$. Find the amount invested at $12 \%$.

Accepted Answer

A)  $\$ 35,700$ 
B)  $\$ 30,000$ 
C)  $\$ 29,000$ 
D)  $\$ 15,000$ 
A)  $\$ 35,700$ 
B)  $\$ 30,000$ 
C)  $\$ 29,000$ 
D)  $\$ 15,000$

Question 12

Solve the equation.
-$\frac{p}{4}-\frac{3 p}{8}=3$

Accepted Answer

A)  $\{-21\}$ 
B)  $\{-24\}$ 
C)  $\{21\}$ 
D)  $\{24\}$ 
A)  $\{-21\}$ 
B)  $\{-24\}$ 
C)  $\{21\}$ 
D)  $\{24\}$

Question 13

Solve the equation.
-$|\mathrm{b}-6|=2$

Accepted Answer

A)  $\{-8,-4\}$ 
B)  $\varnothing$ 
C)  $\{8\}$ 
D)  $\{8,4\}$ 
A)  $\{-8,-4\}$ 
B)  $\varnothing$ 
C)  $\{8\}$ 
D)  $\{8,4\}$

Question 14

Solve the equation.
-$ 0.06y+0.09(5000-y)=0.22 y$

Accepted Answer

A)  $\{112.5\}$ 
B)  $\{1125\}$ 
C)  $\{5400\}$ 
D)  $\{1800\}$ 
A)  $\{112.5\}$ 
B)  $\{1125\}$ 
C)  $\{5400\}$ 
D)  $\{1800\}$

Question 15

Solve the problem.
-A plane climbs from an altitude of $14,000 \mathrm{ft}$ to a cruising altitude of $38,000 \mathrm{ft}$. The plane ascends at a rate of $3000 \mathrm{ft} / \mathrm{min}$. How long will it take to reach cruising altitude?

Accepted Answer

A)  $72,000,000 \mathrm{~min}$ 
B)  $17 \mathrm{~min}$ 
C)  $8 \mathrm{~min}$ 
D)  $0.1 \mathrm{~min}$ 
A)  $72,000,000 \mathrm{~min}$ 
B)  $17 \mathrm{~min}$ 
C)  $8 \mathrm{~min}$ 
D)  $0.1 \mathrm{~min}$

Question 16

Decide whether the following is an expression or an equation.
-$7(4 x+4)-5(3 x-9)$

Accepted Answer

A)  Expression 
B)  Equation 
A)  Expression 
B)  Equation

Question 17

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-

Accepted Answer

A) $x \leq-3$ B) $x>-3$ C) $x \geq-3$ D) $x<-3$ A) $x \leq-3$ B) $x>-3$ C) $x \geq-3$ D) $x<-3$

Question 18

Solve the percent problem.
-If Gloria received a 8 percent raise and is now making $\$ 24,840$ a year, what was her salary before the raise?

Accepted Answer

A)  $\$ 22,840$ 
B)  $\$ 24,000$ 
C)  $\$ 23,000$ 
D)  $\$ 23,840$ 
A)  $\$ 22,840$ 
B)  $\$ 24,000$ 
C)  $\$ 23,000$ 
D)  $\$ 23,840$

Question 19

Solve the problem.
-A biologist collected 171 fern and moss samples. There were 111 fewer ferns than moss samples. How many fern samples did the biologist collect?

Accepted Answer

A)  30 fern samples 
B)  141 fern samples 
C)  126 fern samples 
D)  60 fern samples 
A)  30 fern samples 
B)  141 fern samples 
C)  126 fern samples 
D)  60 fern samples

Question 20

For the compound inequality, give the solution set in both interval and graph forms.
-$x>2$ or $x<2$

Accepted Answer

A)  $(-\infty, 2) \cup(2, \infty)$
  
B)  $\{2\}$
  
C)  $(2, \infty)$
  
D)  $(-\infty, 2)$
  
A)  $(-\infty, 2) \cup(2, \infty)$
  
B)  $\{2\}$
  
C)  $(2, \infty)$
  
D)  $(-\infty, 2)$

For the compound inequality, give the solution set in both interval and graph forms. - $4 x>4$ and $x+5<5$

Solve the problem. -Find the surface area of a cylinder with a radius of $5 \mathrm{~cm}$ and a height of $30 \mathrm{~cm}$ . Use 3.14 for $\pi$ .

Solve the problem. -Find the simple interest if $\$ 3700$ is borrowed at $15.7 \%$ for 3 months $(0.25 \mathrm{yr})$ .

This pair of equations is equivalent. $5 x-7=3$ and $8 x+6=22$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $(2, \infty)$

Solve the equation or inequality. - $|-6 x-4|>-6$

Solve the problem involving consecutive integers. -The sum of two consecutive integers is -337 . Find the larger integer.

Solve the problem. -Find the simple interest if $\$ 3200$ is invested at $11.3 \%$ for 2 years.

Solve the inequality and graph the solution set. - $|x|>10$

Solve the compound or absolute value inequality. - $18 \leq 7 x-3$ and $8 x-6<50$

Solve the investment problem. -Mardi received an inheritance of $\$ 40,000$ . She invested part at $12 \%$ and deposited the remainder in tax-free bonds at $7 \%$ . Her total annual income from the investments was $\$ 4300$ . Find the amount invested at $12 \%$ .

Solve the equation. - $\frac{p}{4}-\frac{3 p}{8}=3$

Solve the equation. - $|\mathrm{b}-6|=2$

Solve the equation. - $0.06y+0.09(5000-y)=0.22 y$

Solve the problem. -A plane climbs from an altitude of $14,000 \mathrm{ft}$ to a cruising altitude of $38,000 \mathrm{ft}$ . The plane ascends at a rate of $3000 \mathrm{ft} / \mathrm{min}$ . How long will it take to reach cruising altitude?

Decide whether the following is an expression or an equation. - $7(4 x+4)-5(3 x-9)$

Write an inequality statement involving the letter x that describes the given graph or interval notation. -

Solve the percent problem. -If Gloria received a 8 percent raise and is now making $\$ 24,840$ a year, what was her salary before the raise?

Solve the problem. -A biologist collected 171 fern and moss samples. There were 111 fewer ferns than moss samples. How many fern samples did the biologist collect?

For the compound inequality, give the solution set in both interval and graph forms. - $x>2$ or $x<2$

Review of the Real Number System

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 2: Linear Equations, Inequalities, and Applications

For the compound inequality, give the solution set in both interval and graph forms. - 4x>44 x>44x>4 and x+5<5x+5<5x+5<5

Solve the problem. -Find the surface area of a cylinder with a radius of 5 cm5 \mathrm{~cm}5 cm and a height of 30 cm30 \mathrm{~cm}30 cm . Use 3.14 for π\piπ .

Solve the problem. -Find the simple interest if $3700\$ 3700$3700 is borrowed at 15.7%15.7 \%15.7% for 3 months (0.25yr)(0.25 \mathrm{yr})(0.25yr) .

This pair of equations is equivalent. 5x−7=35 x-7=35x−7=3 and 8x+6=228 x+6=228x+6=22

Write an inequality statement involving the letter x that describes the given graph or interval notation. - (2,∞)(2, \infty)(2,∞)

Solve the equation or inequality. - ∣−6x−4∣>−6|-6 x-4|>-6∣−6x−4∣>−6

Solve the problem involving consecutive integers. -The sum of two consecutive integers is -337 . Find the larger integer.

Solve the problem. -Find the simple interest if $3200\$ 3200$3200 is invested at 11.3%11.3 \%11.3% for 2 years.

Solve the inequality and graph the solution set. - ∣x∣>10|x|>10∣x∣>10

Solve the compound or absolute value inequality. - 18≤7x−318 \leq 7 x-318≤7x−3 and 8x−6<508 x-6<508x−6<50

Solve the investment problem. -Mardi received an inheritance of $40,000\$ 40,000$40,000 . She invested part at 12%12 \%12% and deposited the remainder in tax-free bonds at 7%7 \%7% . Her total annual income from the investments was $4300\$ 4300$4300 . Find the amount invested at 12%12 \%12% .

Solve the equation. - p4−3p8=3\frac{p}{4}-\frac{3 p}{8}=34p​−83p​=3

Solve the equation. - ∣b−6∣=2|\mathrm{b}-6|=2∣b−6∣=2

Solve the equation. - 0.06y+0.09(5000−y)=0.22y 0.06y+0.09(5000-y)=0.22 y0.06y+0.09(5000−y)=0.22y

Solve the problem. -A plane climbs from an altitude of 14,000ft14,000 \mathrm{ft}14,000ft to a cruising altitude of 38,000ft38,000 \mathrm{ft}38,000ft . The plane ascends at a rate of 3000ft/min3000 \mathrm{ft} / \mathrm{min}3000ft/min . How long will it take to reach cruising altitude?

Decide whether the following is an expression or an equation. - 7(4x+4)−5(3x−9)7(4 x+4)-5(3 x-9)7(4x+4)−5(3x−9)

Write an inequality statement involving the letter x that describes the given graph or interval notation. -

Solve the percent problem. -If Gloria received a 8 percent raise and is now making $24,840\$ 24,840$24,840 a year, what was her salary before the raise?

Solve the problem. -A biologist collected 171 fern and moss samples. There were 111 fewer ferns than moss samples. How many fern samples did the biologist collect?

For the compound inequality, give the solution set in both interval and graph forms. - x>2x>2x>2 or x<2x<2x<2

Review of the Real Number System

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

For the compound inequality, give the solution set in both interval and graph forms. - $4 x>4$ and $x+5<5$

Solve the problem. -Find the surface area of a cylinder with a radius of $5 \mathrm{~cm}$ and a height of $30 \mathrm{~cm}$ . Use 3.14 for $\pi$ .

Solve the problem. -Find the simple interest if $\$ 3700$ is borrowed at $15.7 \%$ for 3 months $(0.25 \mathrm{yr})$ .

This pair of equations is equivalent. $5 x-7=3$ and $8 x+6=22$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $(2, \infty)$

Solve the equation or inequality. - $|-6 x-4|>-6$

Solve the problem. -Find the simple interest if $\$ 3200$ is invested at $11.3 \%$ for 2 years.

Solve the inequality and graph the solution set. - $|x|>10$

Solve the compound or absolute value inequality. - $18 \leq 7 x-3$ and $8 x-6<50$

Solve the investment problem. -Mardi received an inheritance of $\$ 40,000$ . She invested part at $12 \%$ and deposited the remainder in tax-free bonds at $7 \%$ . Her total annual income from the investments was $\$ 4300$ . Find the amount invested at $12 \%$ .

Solve the equation. - $\frac{p}{4}-\frac{3 p}{8}=3$

Solve the equation. - $|\mathrm{b}-6|=2$

Solve the equation. - $0.06y+0.09(5000-y)=0.22 y$

Solve the problem. -A plane climbs from an altitude of $14,000 \mathrm{ft}$ to a cruising altitude of $38,000 \mathrm{ft}$ . The plane ascends at a rate of $3000 \mathrm{ft} / \mathrm{min}$ . How long will it take to reach cruising altitude?

Decide whether the following is an expression or an equation. - $7(4 x+4)-5(3 x-9)$

Solve the percent problem. -If Gloria received a 8 percent raise and is now making $\$ 24,840$ a year, what was her salary before the raise?

For the compound inequality, give the solution set in both interval and graph forms. - $x>2$ or $x<2$