Question 1

If you are given the measure of one angle of a triangle, would you be able to provide the measures of the two other angles?

Accepted Answer

No. Not en

Question 2

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set.
-$3 x+8(x+1)+4=12-4 x$

Accepted Answer

A)  Contradiction; $\varnothing$ 
B)  Identity; {all real numbers} 
C)  Conditional; $\{1\}$ 
D)  Conditional; $\{0\}$ 
A)  Contradiction; $\varnothing$ 
B)  Identity; {all real numbers} 
C)  Conditional; $\{1\}$ 
D)  Conditional; $\{0\}$

Question 3

Solve the equation or inequality.
-$|3 x-2|-1>-4$

Accepted Answer

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

Question 4

Solve the problem.
-Find the measure of each angle in the triangle.

Accepted Answer

A)  $28^{\circ}, 128^{\circ}, 24^{\circ}$ 
B)  $34^{\circ}, 125^{\circ}, 21^{\circ}$ 
C)  $34^{\circ}, 35^{\circ}, 21^{\circ}$ 
D)  $38^{\circ}, 123^{\circ}, 19^{\circ}$ 
A)  $28^{\circ}, 128^{\circ}, 24^{\circ}$ 
B)  $34^{\circ}, 125^{\circ}, 21^{\circ}$ 
C)  $34^{\circ}, 35^{\circ}, 21^{\circ}$ 
D)  $38^{\circ}, 123^{\circ}, 19^{\circ}$

Question 5

Solve the inequality. Give the solution set in both interval and graph forms.
-$-18<3 y \leq-6$

Accepted Answer

A)  $ (-6,-2) $
  
B)  $ (-6,-2] $
  
C)  $ [-6,-2) $
  
D)  $ [-6,-2] $
  
A)  $ (-6,-2) $
  
B)  $ (-6,-2] $
  
C)  $ [-6,-2) $
  
D)  $ [-6,-2] $

Question 6

Solve the problem.
-A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 36 marbles in it. At least how many green marbles does it have?

Accepted Answer

A)  At least 24 green marbles 
B)  At least 13 green marbles 
C)  At least 18 green marbles 
D)  At least 12 green marbles 
A)  At least 24 green marbles 
B)  At least 13 green marbles 
C)  At least 18 green marbles 
D)  At least 12 green marbles

Question 7

Solve the absolute value equation.
-$|2 s-4|=|3-s|$

Accepted Answer

A)  $\{1\}$ 
B)  $\left\{-1,-\frac{7}{3}\right\}$ 
C)  $\left\{1, \frac{3}{7}\right\}$ 
D)  $\left\{1, \frac{7}{3}\right\}$ 
A)  $\{1\}$ 
B)  $\left\{-1,-\frac{7}{3}\right\}$ 
C)  $\left\{1, \frac{3}{7}\right\}$ 
D)  $\left\{1, \frac{7}{3}\right\}$

Question 8

For the compound inequality, give the solution set in both interval and graph forms.
-$5 \mathrm{x}-9-3$

Accepted Answer

A)  $(-2,3)$ 
  
B)  $(-\infty,-2) \cup(3, \infty)$
  
C)  $(-\infty,-2)$
  
D)  $(-\infty, 3)$
  
A)  $(-2,3)$ 
  
B)  $(-\infty,-2) \cup(3, \infty)$
  
C)  $(-\infty,-2)$
  
D)  $(-\infty, 3)$

Question 9

Solve the problem.
-Find the total amount that must be repaid if $\$ 4100$ is borrowed at $7.2 \%$ simple interest for 3 years.

Accepted Answer

A)  $\$ 4395.20$ 
B)  $\$ 5808.33$ 
C)  $\$ 4985.60$ 
D)  $\$ 885.60$ 
A)  $\$ 4395.20$ 
B)  $\$ 5808.33$ 
C)  $\$ 4985.60$ 
D)  $\$ 885.60$

Question 10

Solve the inequality and graph the solution set.
-$|3-x| \geq 5$

Accepted Answer

A)  $[-2,8]$
  
B)  $[-2, \infty)$
  
C)  $(-\infty,-2] \cup[8, \infty)$
  
D)  $[8, \infty)$
  
A)  $[-2,8]$
  
B)  $[-2, \infty)$
  
C)  $(-\infty,-2] \cup[8, \infty)$
  
D)  $[8, \infty)$

Question 11

In order to purchase fence for a garden, would you need to use perimeter or area to decide how much to buy?

Accepted Answer

A)  Area 
B)  Perimeter 
A)  Area 
B)  Perimeter

Question 12

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set.
-$B \cup C$

Accepted Answer

A)  $\{q, s, u, w, y, z\}$ 
B)  $\{\mathrm{q}, \mathrm{w}, \mathrm{y}, \mathrm{z}\}$ 
C)  $\{\mathrm{y}, \mathrm{z}\}$ 
D)  $\{\mathrm{q}, \mathrm{s}, \mathrm{v}, \mathrm{w}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$ 
A)  $\{q, s, u, w, y, z\}$ 
B)  $\{\mathrm{q}, \mathrm{w}, \mathrm{y}, \mathrm{z}\}$ 
C)  $\{\mathrm{y}, \mathrm{z}\}$ 
D)  $\{\mathrm{q}, \mathrm{s}, \mathrm{v}, \mathrm{w}, \mathrm{x}, \mathrm{y}, \mathrm{z}\}$

Question 13

Solve the problem.
-Janet drove 360 kilometers and the trip took 5 hours. How fast was Janet traveling?

Accepted Answer

A)  72 kilometers per hour 
B)  62 kilometers per hour 
C)  92 kilometers per hour 
D)  82 kilometers per hour 
A)  72 kilometers per hour 
B)  62 kilometers per hour 
C)  92 kilometers per hour 
D)  82 kilometers per hour

Question 14

The solution set of the equation $7(6 s-5)=42 s-35$ is $\{1\}$. Explain.

Accepted Answer

A) True 
 B)False

Question 15

Solve the equation.
-$9 x+2(2 x-2)=18-9 x$

Accepted Answer

A)  $\{1\}$ 
B)  $\left\{\frac{7}{11}\right\}$ 
C)  $\{-1\}$ 
D)  $\left\{\frac{7}{2}\right\}$ 
A)  $\{1\}$ 
B)  $\left\{\frac{7}{11}\right\}$ 
C)  $\{-1\}$ 
D)  $\left\{\frac{7}{2}\right\}$

Question 16

Write an inequality statement involving the letter x that describes the given graph or interval notation.
-$(-1,3)$

Accepted Answer

A)  $-1 \leq  x < 3$ 
B)  $-1< x<3$ 
C)  $-1 \leq  x  \leq  3$ 
D)  $-1< x \leq 3$ 
A)  $-1 \leq  x < 3$ 
B)  $-1< x<3$ 
C)  $-1 \leq  x  \leq  3$ 
D)  $-1< x \leq 3$

Question 17

Solve the problem.
-Students at East Central High School earned $\$ 228$ selling candles. They want to make $\$ 4090$ for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary.

Accepted Answer

A)  $179 \%$ 
B)  $17.9 \%$ 
C)  $0.6 \%$ 
D)  $5.6 \%$ 
A)  $179 \%$ 
B)  $17.9 \%$ 
C)  $0.6 \%$ 
D)  $5.6 \%$

Question 18

Solve the equation.
-$\frac{a}{4}-\frac{1}{4}=-5$

Accepted Answer

A)  $\{-19\}$ 
B)  $\{21\}$ 
C)  $\{-21\}$ 
D)  $\{19\}$ 
A)  $\{-19\}$ 
B)  $\{21\}$ 
C)  $\{-21\}$ 
D)  $\{19\}$

Question 19

Solve the equation.
-$ 0.8\mathrm{x}-0.4(40+\mathrm{x})=8$

Accepted Answer

A)  $\{50\}$ 
B)  $\{30\}$ 
C)  $\{70\}$ 
D)  $\{60\}$ 
A)  $\{50\}$ 
B)  $\{30\}$ 
C)  $\{70\}$ 
D)  $\{60\}$

Question 20

Solve the equation.
-$6(4 x-8)-6(x+3)=2 x+84+x$

Accepted Answer

A)  $\{-56\}$ 
B)  $\{-38\}$ 
C)  $\{-8\}$ 
D)  $\{10\}$ 
A)  $\{-56\}$ 
B)  $\{-38\}$ 
C)  $\{-8\}$ 
D)  $\{10\}$

If you are given the measure of one angle of a triangle, would you be able to provide the measures of the two other angles?

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - $3 x+8(x+1)+4=12-4 x$

Solve the equation or inequality. - $|3 x-2|-1>-4$

Solve the problem. -Find the measure of each angle in the triangle.

Solve the inequality. Give the solution set in both interval and graph forms. - $-18<3 y \leq-6$ $Solve the inequality. Give the solution set in both interval and graph forms. - -18<3 y \leq-6$

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 36 marbles in it. At least how many green marbles does it have?

Solve the absolute value equation. - $|2 s-4|=|3-s|$

For the compound inequality, give the solution set in both interval and graph forms. - $5 \mathrm{x}-9<-19$ and $9-4 \mathrm{x}>-3$ $For the compound inequality, give the solution set in both interval and graph forms. - 5 \mathrm{x}-9<-19 and 9-4 \mathrm{x}>-3$

Solve the problem. -Find the total amount that must be repaid if $\$ 4100$ is borrowed at $7.2 \%$ simple interest for 3 years.

Solve the inequality and graph the solution set. - $|3-x| \geq 5$ $Solve the inequality and graph the solution set. - |3-x| \geq 5$

In order to purchase fence for a garden, would you need to use perimeter or area to decide how much to buy?

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - $B \cup C$

Solve the problem. -Janet drove 360 kilometers and the trip took 5 hours. How fast was Janet traveling?

The solution set of the equation $7(6 s-5)=42 s-35$ is $\{1\}$ . Explain.

Solve the equation. - $9 x+2(2 x-2)=18-9 x$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $(-1,3)$

Solve the problem. -Students at East Central High School earned $\$ 228$ selling candles. They want to make $\$ 4090$ for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary.

Solve the equation. - $\frac{a}{4}-\frac{1}{4}=-5$

Solve the equation. - $0.8\mathrm{x}-0.4(40+\mathrm{x})=8$

Solve the equation. - $6(4 x-8)-6(x+3)=2 x+84+x$

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

If you are given the measure of one angle of a triangle, would you be able to provide the measures of the two other angles?

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - 3x+8(x+1)+4=12−4x3 x+8(x+1)+4=12-4 x3x+8(x+1)+4=12−4x

Solve the equation or inequality. - ∣3x−2∣−1>−4|3 x-2|-1>-4∣3x−2∣−1>−4

Solve the problem. -Find the measure of each angle in the triangle.

Solve the inequality. Give the solution set in both interval and graph forms. - −18<3y≤−6-18<3 y \leq-6−18<3y≤−6

Solve the problem. -A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 36 marbles in it. At least how many green marbles does it have?

Solve the absolute value equation. - ∣2s−4∣=∣3−s∣|2 s-4|=|3-s|∣2s−4∣=∣3−s∣

For the compound inequality, give the solution set in both interval and graph forms. - 5x−9<−195 \mathrm{x}-9<-195x−9<−19 and 9−4x>−39-4 \mathrm{x}>-39−4x>−3

Solve the problem. -Find the total amount that must be repaid if $4100\$ 4100$4100 is borrowed at 7.2%7.2 \%7.2% simple interest for 3 years.

Solve the inequality and graph the solution set. - ∣3−x∣≥5|3-x| \geq 5∣3−x∣≥5

In order to purchase fence for a garden, would you need to use perimeter or area to decide how much to buy?

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - B∪CB \cup CB∪C

Solve the problem. -Janet drove 360 kilometers and the trip took 5 hours. How fast was Janet traveling?

The solution set of the equation 7(6s−5)=42s−357(6 s-5)=42 s-357(6s−5)=42s−35 is {1}\{1\}{1} . Explain.

Solve the equation. - 9x+2(2x−2)=18−9x9 x+2(2 x-2)=18-9 x9x+2(2x−2)=18−9x

Write an inequality statement involving the letter x that describes the given graph or interval notation. - (−1,3)(-1,3)(−1,3)

Solve the problem. -Students at East Central High School earned $228\$ 228$228 selling candles. They want to make $4090\$ 4090$4090 for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary.

Solve the equation. - a4−14=−5\frac{a}{4}-\frac{1}{4}=-54a​−41​=−5

Solve the equation. - 0.8x−0.4(40+x)=8 0.8\mathrm{x}-0.4(40+\mathrm{x})=80.8x−0.4(40+x)=8

Solve the equation. - 6(4x−8)−6(x+3)=2x+84+x6(4 x-8)-6(x+3)=2 x+84+x6(4x−8)−6(x+3)=2x+84+x

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

Decide whether the equation is conditional, an identity, or a contradiction. Give the solution set. - $3 x+8(x+1)+4=12-4 x$

Solve the equation or inequality. - $|3 x-2|-1>-4$

Solve the inequality. Give the solution set in both interval and graph forms. - $-18<3 y \leq-6$ $Solve the inequality. Give the solution set in both interval and graph forms. - -18<3 y \leq-6$

Solve the absolute value equation. - $|2 s-4|=|3-s|$

For the compound inequality, give the solution set in both interval and graph forms. - $5 \mathrm{x}-9<-19$ and $9-4 \mathrm{x}>-3$ $For the compound inequality, give the solution set in both interval and graph forms. - 5 \mathrm{x}-9<-19 and 9-4 \mathrm{x}>-3$

Solve the problem. -Find the total amount that must be repaid if $\$ 4100$ is borrowed at $7.2 \%$ simple interest for 3 years.

Solve the inequality and graph the solution set. - $|3-x| \geq 5$ $Solve the inequality and graph the solution set. - |3-x| \geq 5$

Let A {q, s, u, v, w, x, y, z}, B {q, s, y, z}, C {v, w, x, y, z}, and D {s}. Specify the following set. - $B \cup C$

The solution set of the equation $7(6 s-5)=42 s-35$ is $\{1\}$ . Explain.

Solve the equation. - $9 x+2(2 x-2)=18-9 x$

Write an inequality statement involving the letter x that describes the given graph or interval notation. - $(-1,3)$

Solve the problem. -Students at East Central High School earned $\$ 228$ selling candles. They want to make $\$ 4090$ for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if necessary.

Solve the equation. - $\frac{a}{4}-\frac{1}{4}=-5$

Solve the equation. - $0.8\mathrm{x}-0.4(40+\mathrm{x})=8$

Solve the equation. - $6(4 x-8)-6(x+3)=2 x+84+x$