Question 1

Decide if the statement is .
--4 is a solution of $9 x=-36$.

Accepted Answer

A) True 
 B)False

Question 2

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-89 greater than a number

Accepted Answer

A)  $89 x$ 
B)  $x-89$ 
C)  $x+89$ 
D)  89 
A)  $89 x$ 
B)  $x-89$ 
C)  $x+89$ 
D)  89

Question 3

If $kk$

Accepted Answer

A)  $\left(-\frac{\mathrm{k}-7}{7}, \frac{\mathrm{k}-7}{7}\right)$ 
B)  $\{0\}$ 
C)  $\varnothing$ 
D)  $(-\infty, \infty)$ 
A)  $\left(-\frac{\mathrm{k}-7}{7}, \frac{\mathrm{k}-7}{7}\right)$ 
B)  $\{0\}$ 
C)  $\varnothing$ 
D)  $(-\infty, \infty)$

Question 4

Solve the problem.
-A circle has a circumference of $30 \pi \mathrm{m}$. Find the radius of the circle.

Accepted Answer

A)  $15 \mathrm{~m}$ 
B)  $8 \mathrm{~m}$ 
C)  $30 \mathrm{~m}$ 
D)  $5 \mathrm{~m}$ 
A)  $15 \mathrm{~m}$ 
B)  $8 \mathrm{~m}$ 
C)  $30 \mathrm{~m}$ 
D)  $5 \mathrm{~m}$

Question 5

Solve the equation.
-$\left|2+\frac{1}{5} x\right|=5$

Accepted Answer

A)  $\{-15,35\}$ 
B)  $[35,15\}$ 
C)  $\varnothing$ 
D)  $\{-35,15\}$ 
A)  $\{-15,35\}$ 
B)  $[35,15\}$ 
C)  $\varnothing$ 
D)  $\{-35,15\}$

Question 6

The three-part inequality $a< x \leq b$ means " $a$ is less than $x$ and $x$ is less than or equal to $b "$. Which of these inequalities is not satisfied by any real number $x$ ?

Accepted Answer

A)  $-5< x \leq-11$ 
B)  $-8< x \leq-7$ 
C)  $0< x \leq 4$ 
D)  $-2< x \leq 6$ 
A)  $-5< x \leq-11$ 
B)  $-8< x \leq-7$ 
C)  $0< x \leq 4$ 
D)  $-2< x \leq 6$

Question 7

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.
-$A \cap D$

Accepted Answer

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

Question 8

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.
-$\frac{1}{3} x-\frac{2}{5} x+\frac{4}{15} x-1$

Accepted Answer

A)  Equation; $\left\{\frac{1}{3}\right\}$ 
B)  Expression; $\frac{1}{5} x-1$ 
C)  Expression; $\frac{3}{5} x-1$ 
D)  Equation; $\left\{-\frac{1}{3}\right\}$ 
A)  Equation; $\left\{\frac{1}{3}\right\}$ 
B)  Expression; $\frac{1}{5} x-1$ 
C)  Expression; $\frac{3}{5} x-1$ 
D)  Equation; $\left\{-\frac{1}{3}\right\}$

Question 9

Solve the problem.
-A pie-shaped (triangular) lake-front lot has a perimeter of $1000 \mathrm{ft}$. One side is $300 \mathrm{ft}$ longer than the shortest side, while the third side is $400 \mathrm{ft}$ longer than the shortest side. Find the lengths of all three sides.

Accepted Answer

A)  $200 \mathrm{ft}, 200 \mathrm{ft}, 200 \mathrm{ft}$ 
B)  $200 \mathrm{ft}, 500 \mathrm{ft}, 600 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 400 \mathrm{ft}, 500 \mathrm{ft}$ 
D)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$ 
A)  $200 \mathrm{ft}, 200 \mathrm{ft}, 200 \mathrm{ft}$ 
B)  $200 \mathrm{ft}, 500 \mathrm{ft}, 600 \mathrm{ft}$ 
C)  $100 \mathrm{ft}, 400 \mathrm{ft}, 500 \mathrm{ft}$ 
D)  $100 \mathrm{ft}, 200 \mathrm{ft}, 300 \mathrm{ft}$

Question 10

$2 x-5=5+7 x-3$
Is this a linear equation?

Accepted Answer

A) True 
 B)False

Question 11

The intersection of the sets $(-\infty,-22)$ and $(-22, \infty)$ is $\{-22\}$.

Accepted Answer

A) True 
 B)False

Question 12

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-204 divided by some number

Accepted Answer

A)  $204+x$ 
B)  $\frac{204}{x}$ 
C)  $204-x$ 
D)  $204 x$ 
A)  $204+x$ 
B)  $\frac{204}{x}$ 
C)  $204-x$ 
D)  $204 x$

Question 13

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation.
-$|x|+7=16$

Accepted Answer

A)  $\{-16\}$ 
B)  $\{9\}$ 
C)  $\{-9,9\}$ 
D)  $\{-16,16\}$ 
A)  $\{-16\}$ 
B)  $\{9\}$ 
C)  $\{-9,9\}$ 
D)  $\{-16,16\}$

Question 14

Solve the equation.
-$|x|=12$

Accepted Answer

A)  $\{12\}$ 
B)  $\{-12\}$ 
C)  $\{144\}$ 
D)  $\{12,-12\}$ 
A)  $\{12\}$ 
B)  $\{-12\}$ 
C)  $\{144\}$ 
D)  $\{12,-12\}$

Question 15

Solve the problem.
-In a recent school board election, the two candidates for president received 1474 votes. The loser received 686 fewer votes than the winner. How many votes did the winner receive?

Accepted Answer

A)  883 votes 
B)  1080 votes 
C)  394 votes 
D)  788 votes 
A)  883 votes 
B)  1080 votes 
C)  394 votes 
D)  788 votes

Question 16

Solve the inequality. Give the solution set in both interval and graph forms.
-$-10 z+8 \geq-11 z+13$

Accepted Answer

A)  $ (-\infty, 5] $
  
B)  $ [5, \infty) $
  
C)  $ (-10, \infty) $
  
D)  $ (-\infty,-10) $
  
A)  $ (-\infty, 5] $
  
B)  $ [5, \infty) $
  
C)  $ (-10, \infty) $
  
D)  $ (-\infty,-10) $

Question 17

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-A number divided by 51

Accepted Answer

A)  $51+x$ 
B)  $51-x$ 
C)  $51 x$ 
D)  $\frac{x}{51}$ 
A)  $51+x$ 
B)  $51-x$ 
C)  $51 x$ 
D)  $\frac{x}{51}$

Question 18

Solve the equation.
-$(y-6)-(y+8)=9 y$

Accepted Answer

A)  $\left\{-\frac{7}{3}\right\}$ 
B)  $\left\{-\frac{1}{9}\right\}$ 
C)  $\left\{-\frac{7}{2}\right\}$ 
D)  $\left\{-\frac{14}{9}\right\}$ 
A)  $\left\{-\frac{7}{3}\right\}$ 
B)  $\left\{-\frac{1}{9}\right\}$ 
C)  $\left\{-\frac{7}{2}\right\}$ 
D)  $\left\{-\frac{14}{9}\right\}$

Question 19

Solve the problem.
-Find the measures of the vertical angles.

Accepted Answer

A)  $6^{\circ}, 6^{\circ}$ 
B)  $112^{\circ}, 112^{\circ}$ 
C)  $16^{\circ}, 16^{\circ}$ 
D)  $52^{\circ}, 52^{\circ}$ 
A)  $6^{\circ}, 6^{\circ}$ 
B)  $112^{\circ}, 112^{\circ}$ 
C)  $16^{\circ}, 16^{\circ}$ 
D)  $52^{\circ}, 52^{\circ}$

Question 20

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.
-$C \cup B$

Accepted Answer

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

Decide if the statement is . --4 is a solution of $9 x=-36$ .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -89 greater than a number

If $k<0$ , what is the solution set of $|7 f-7|>k$

Solve the problem. -A circle has a circumference of $30 \pi \mathrm{m}$ . Find the radius of the circle.

Solve the equation. - $\left|2+\frac{1}{5} x\right|=5$

The three-part inequality $a< x \leq b$ means " $a$ is less than $x$ and $x$ is less than or equal to $b "$ . Which of these inequalities is not satisfied by any real number $x$ ?

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. - $A \cap D$

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $\frac{1}{3} x-\frac{2}{5} x+\frac{4}{15} x-1$

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of $1000 \mathrm{ft}$ . One side is $300 \mathrm{ft}$ longer than the shortest side, while the third side is $400 \mathrm{ft}$ longer than the shortest side. Find the lengths of all three sides.

$2 x-5=5+7 x-3$ Is this a linear equation?

The intersection of the sets $(-\infty,-22)$ and $(-22, \infty)$ is $\{-22\}$ .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -204 divided by some number

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. - $|x|+7=16$

Solve the equation. - $|x|=12$

Solve the problem. -In a recent school board election, the two candidates for president received 1474 votes. The loser received 686 fewer votes than the winner. How many votes did the winner receive?

Solve the inequality. Give the solution set in both interval and graph forms. - $-10 z+8 \geq-11 z+13$ $Solve the inequality. Give the solution set in both interval and graph forms. - -10 z+8 \geq-11 z+13$

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -A number divided by 51

Solve the equation. - $(y-6)-(y+8)=9 y$

Solve the problem. -Find the measures of the vertical angles.

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. - $C \cup B$

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

Decide if the statement is . --4 is a solution of 9x=−369 x=-369x=−36 .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -89 greater than a number

If k<0k<0k<0 , what is the solution set of ∣7f−7∣>k|7 f-7|>k∣7f−7∣>k

Solve the problem. -A circle has a circumference of 30πm30 \pi \mathrm{m}30πm . Find the radius of the circle.

Solve the equation. - ∣2+15x∣=5\left|2+\frac{1}{5} x\right|=5​2+51​x​=5

The three-part inequality a<x≤ba< x \leq ba<x≤b means " aaa is less than xxx and xxx is less than or equal to b"b "b" . Which of these inequalities is not satisfied by any real number xxx ?

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. - A∩DA \cap DA∩D

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - 13x−25x+415x−1\frac{1}{3} x-\frac{2}{5} x+\frac{4}{15} x-131​x−52​x+154​x−1

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of 1000ft1000 \mathrm{ft}1000ft . One side is 300ft300 \mathrm{ft}300ft longer than the shortest side, while the third side is 400ft400 \mathrm{ft}400ft longer than the shortest side. Find the lengths of all three sides.

2x−5=5+7x−32 x-5=5+7 x-32x−5=5+7x−3 Is this a linear equation?

The intersection of the sets (−∞,−22)(-\infty,-22)(−∞,−22) and (−22,∞)(-22, \infty)(−22,∞) is {−22}\{-22\}{−22} .

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -204 divided by some number

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. - ∣x∣+7=16|x|+7=16∣x∣+7=16

Solve the equation. - ∣x∣=12|x|=12∣x∣=12

Solve the problem. -In a recent school board election, the two candidates for president received 1474 votes. The loser received 686 fewer votes than the winner. How many votes did the winner receive?

Solve the inequality. Give the solution set in both interval and graph forms. - −10z+8≥−11z+13-10 z+8 \geq-11 z+13−10z+8≥−11z+13

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -A number divided by 51

Solve the equation. - (y−6)−(y+8)=9y(y-6)-(y+8)=9 y(y−6)−(y+8)=9y

Solve the problem. -Find the measures of the vertical angles.

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. - C∪BC \cup BC∪B

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 if the statement is . --4 is a solution of $9 x=-36$ .

If $k<0$ , what is the solution set of $|7 f-7|>k$

Solve the problem. -A circle has a circumference of $30 \pi \mathrm{m}$ . Find the radius of the circle.

Solve the equation. - $\left|2+\frac{1}{5} x\right|=5$

The three-part inequality $a< x \leq b$ means " $a$ is less than $x$ and $x$ is less than or equal to $b "$ . Which of these inequalities is not satisfied by any real number $x$ ?

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. - $A \cap D$

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $\frac{1}{3} x-\frac{2}{5} x+\frac{4}{15} x-1$

Solve the problem. -A pie-shaped (triangular) lake-front lot has a perimeter of $1000 \mathrm{ft}$ . One side is $300 \mathrm{ft}$ longer than the shortest side, while the third side is $400 \mathrm{ft}$ longer than the shortest side. Find the lengths of all three sides.

$2 x-5=5+7 x-3$ Is this a linear equation?

The intersection of the sets $(-\infty,-22)$ and $(-22, \infty)$ is $\{-22\}$ .

Solve the given equation or inequality. If an equation is given, then write the solution set in set notation. If an inequality is given, then write the solution set in interval notation. - $|x|+7=16$

Solve the equation. - $|x|=12$

Solve the inequality. Give the solution set in both interval and graph forms. - $-10 z+8 \geq-11 z+13$ $Solve the inequality. Give the solution set in both interval and graph forms. - -10 z+8 \geq-11 z+13$

Solve the equation. - $(y-6)-(y+8)=9 y$

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. - $C \cup B$