Question 1

Decide whether the following is an expression or an equation.
-$-3 x+10+10 x+7$

Accepted Answer

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

Question 2

Solve the equation or inequality.
-$|\mathrm{t}|=-16$

Accepted Answer

A)  $\{16\}$ 
B)  $\varnothing$ 
C)  $\left\{\frac{1}{16}\right\}$ 
D)  $\{-16\}$ 
A)  $\{16\}$ 
B)  $\varnothing$ 
C)  $\left\{\frac{1}{16}\right\}$ 
D)  $\{-16\}$

Question 3

Solve the equation.
-$\left|\frac{1}{2} n+2\right|=\left|\frac{3}{4} n-2\right|$

Accepted Answer

A)  $\{0\}$ 
B)  $\{16,0\}$ 
C)  $\varnothing$ 
D)  $\{16,12\}$ 
A)  $\{0\}$ 
B)  $\{16,0\}$ 
C)  $\varnothing$ 
D)  $\{16,12\}$

Question 4

Solve the equation for the specified variable. Use the distributive property to factor as necessary.
-$9 s+7 p=t p-7$ for $p$

Accepted Answer

A)  $p=\frac{9 s+7}{7}$ or $p=\frac{-9 s-7}{-7}$ 
B)  $\mathrm{p}=\frac{9 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{-9 \mathrm{~s}-7}{\mathrm{t}}$ 
C)  $\mathrm{p}=\frac{7-\mathrm{t}}{-9 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{9 \mathrm{~s}+7}$ 
D)  $p=\frac{-9 s-7}{7-t}$ or $p=\frac{9 s+7}{t-7}$ 
A)  $p=\frac{9 s+7}{7}$ or $p=\frac{-9 s-7}{-7}$ 
B)  $\mathrm{p}=\frac{9 \mathrm{~s}+7}{-\mathrm{t}}$ or $\mathrm{p}=\frac{-9 \mathrm{~s}-7}{\mathrm{t}}$ 
C)  $\mathrm{p}=\frac{7-\mathrm{t}}{-9 \mathrm{~s}-7}$ or $\mathrm{p}=\frac{\mathrm{t}-7}{9 \mathrm{~s}+7}$ 
D)  $p=\frac{-9 s-7}{7-t}$ or $p=\frac{9 s+7}{t-7}$

Question 5

Solve the inequality. Give the solution set in both interval and graph forms.
-$-2(3 z+11)<-8 z-18$

Accepted Answer

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

Question 6

Solve the problem.
-An equilateral triangle has perimeter 69 inches. What would be the perimeter of a square whose sides each measure the same length as the side of the triangle?

Accepted Answer

A)  46 inches 
B)  23 inches 
C)  92 inches 
D)  529 inches 
A)  46 inches 
B)  23 inches 
C)  92 inches 
D)  529 inches

Question 7

Decide whether the following is an expression or an equation.
-$3 x-(2 x-1)=2$

Accepted Answer

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

Question 8

Decide whether the following is an expression or an equation.
-$6(6 x+5)=8(9 x-6)$

Accepted Answer

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

Question 9

Provide an appropriate response.
-Give an equation or inequality that states the distance between $3 x$ and 6.6 is equal to 6 .

Accepted Answer

A)  $|3 x+6.6|<6$ 
B)  $|3 x-6.6|=6$ 
C)  $|3 x-6.6|<6$ 
D)  $3 x-6.6=6$ 
A)  $|3 x+6.6|<6$ 
B)  $|3 x-6.6|=6$ 
C)  $|3 x-6.6|<6$ 
D)  $3 x-6.6=6$

Question 10

Solve the compound or absolute value inequality.
-$|6-3 x| \geq 3$

Accepted Answer

A)  $(-\infty,-3] \cup[3, \infty)$ 
B)  $[1,3]$ 
C)  $(-\infty, 1] \cup[3, \infty)$ 
D)  $[3, \infty)$ 
A)  $(-\infty,-3] \cup[3, \infty)$ 
B)  $[1,3]$ 
C)  $(-\infty, 1] \cup[3, \infty)$ 
D)  $[3, \infty)$

Question 11

Solve the investment problem.
-Roberto invested some money at $8 \%$, and then invested $\$ 2000$ more than twice this amount at $10 \%$. His total annual income from the two investments was $\$ 3560$. How much was invested at $10 \%$ ?

Accepted Answer

A)  $\$ 6000$ 
B)  $\$ 2600$ 
C)  $\$ 26.000$ 
D)  $\$ 24.000$ 
A)  $\$ 6000$ 
B)  $\$ 2600$ 
C)  $\$ 26.000$ 
D)  $\$ 24.000$

Question 12

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation.
-$3(2 x-4)=5(x+4)$

Accepted Answer

A)  Expression; $5 x+3$ 
B)  Equation; $\{32\}$ 
C)  Equation; $\{-8\}$ 
D)  Expression; $5 x-3$ 
A)  Expression; $5 x+3$ 
B)  Equation; $\{32\}$ 
C)  Equation; $\{-8\}$ 
D)  Expression; $5 x-3$

Question 13

The volume of a rectangular solid is to be 120 cubic units. Give two sets of possible dimensions for the solid.

Accepted Answer

Answers will vary, b

Question 14

Decide if the statement is .
--8 is a solution of $2 x-4 x=-47$.

Accepted Answer

A) True 
 B)False

Question 15

Solve the inequality. Give the solution set in both interval and graph forms.
-$-\frac{2}{5} x>-8$

Accepted Answer

A)  $(-\infty, 20)$
  
B)  $(20, \infty)$
  
C)  $[20, \infty)$
  
D)  $(-\infty, 20]$
  
A)  $(-\infty, 20)$
  
B)  $(20, \infty)$
  
C)  $[20, \infty)$
  
D)  $(-\infty, 20]$

Question 16

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.
-The quotient of 21 and ten times a nonzero number

Accepted Answer

A)  $\frac{10}{21 x}(x \neq 0)$ 
B)  $\frac{21}{10 x}(x=0)$ 
C)  $\frac{21}{10 x}(x \neq 0)$ 
D)  $\frac{21}{10+x}(x \neq 0)$ 
A)  $\frac{10}{21 x}(x \neq 0)$ 
B)  $\frac{21}{10 x}(x=0)$ 
C)  $\frac{21}{10 x}(x \neq 0)$ 
D)  $\frac{21}{10+x}(x \neq 0)$

Question 17

Solve the absolute value equation.
-$|7 \mathrm{k}-3|+2=7$

Accepted Answer

A)  $(-\infty, \infty)$ 
B)  $\left\{-\frac{2}{7}, \frac{8}{7}\right\}$ 
C)  $\left\{\frac{7}{8},-\frac{7}{2}\right\}$ 
D)  $\varnothing$ 
A)  $(-\infty, \infty)$ 
B)  $\left\{-\frac{2}{7}, \frac{8}{7}\right\}$ 
C)  $\left\{\frac{7}{8},-\frac{7}{2}\right\}$ 
D)  $\varnothing$

Question 18

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

Accepted Answer

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

Question 19

If $a \leq b$, is it always true that $a-4 \leq b-4$ ? Explain.

Accepted Answer

Yes. Adding a positive or nega

Question 20

Solve the inequality. Give the solution set in both interval and graph forms.
-$15(4 x-14)<6(10 x-12)$

Accepted Answer

A)  $(-\infty, 0)$
  
B)  $\varnothing$
  
C)  $(0, \infty)$
  
D)  $(-\infty, \infty)$
  
A)  $(-\infty, 0)$
  
B)  $\varnothing$
  
C)  $(0, \infty)$
  
D)  $(-\infty, \infty)$

Decide whether the following is an expression or an equation. - $-3 x+10+10 x+7$

Solve the equation or inequality. - $|\mathrm{t}|=-16$

Solve the equation. - $\left|\frac{1}{2} n+2\right|=\left|\frac{3}{4} n-2\right|$

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - $9 s+7 p=t p-7$ for $p$

Solve the inequality. Give the solution set in both interval and graph forms. - $-2(3 z+11)<-8 z-18$

Solve the problem. -An equilateral triangle has perimeter 69 inches. What would be the perimeter of a square whose sides each measure the same length as the side of the triangle?

Decide whether the following is an expression or an equation. - $3 x-(2 x-1)=2$

Decide whether the following is an expression or an equation. - $6(6 x+5)=8(9 x-6)$

Provide an appropriate response. -Give an equation or inequality that states the distance between $3 x$ and 6.6 is equal to 6 .

Solve the compound or absolute value inequality. - $|6-3 x| \geq 3$

Solve the investment problem. -Roberto invested some money at $8 \%$ , and then invested $\$ 2000$ more than twice this amount at $10 \%$ . His total annual income from the two investments was $\$ 3560$ . How much was invested at $10 \%$ ?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $3(2 x-4)=5(x+4)$

The volume of a rectangular solid is to be 120 cubic units. Give two sets of possible dimensions for the solid.

Decide if the statement is . --8 is a solution of $2 x-4 x=-47$ .

Solve the inequality. Give the solution set in both interval and graph forms. - $-\frac{2}{5} x>-8$ $Solve the inequality. Give the solution set in both interval and graph forms. - -\frac{2}{5} x>-8$

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -The quotient of 21 and ten times a nonzero number

Solve the absolute value equation. - $|7 \mathrm{k}-3|+2=7$

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

If $a \leq b$ , is it always true that $a-4 \leq b-4$ ? Explain.

Solve the inequality. Give the solution set in both interval and graph forms. - $15(4 x-14)<6(10 x-12)$

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 whether the following is an expression or an equation. - −3x+10+10x+7-3 x+10+10 x+7−3x+10+10x+7

Solve the equation or inequality. - ∣t∣=−16|\mathrm{t}|=-16∣t∣=−16

Solve the equation. - ∣12n+2∣=∣34n−2∣\left|\frac{1}{2} n+2\right|=\left|\frac{3}{4} n-2\right|​21​n+2​=​43​n−2​

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - 9s+7p=tp−79 s+7 p=t p-79s+7p=tp−7 for ppp

Solve the inequality. Give the solution set in both interval and graph forms. - −2(3z+11)<−8z−18-2(3 z+11)<-8 z-18−2(3z+11)<−8z−18

Solve the problem. -An equilateral triangle has perimeter 69 inches. What would be the perimeter of a square whose sides each measure the same length as the side of the triangle?

Decide whether the following is an expression or an equation. - 3x−(2x−1)=23 x-(2 x-1)=23x−(2x−1)=2

Decide whether the following is an expression or an equation. - 6(6x+5)=8(9x−6)6(6 x+5)=8(9 x-6)6(6x+5)=8(9x−6)

Provide an appropriate response. -Give an equation or inequality that states the distance between 3x3 x3x and 6.6 is equal to 6 .

Solve the compound or absolute value inequality. - ∣6−3x∣≥3|6-3 x| \geq 3∣6−3x∣≥3

Solve the investment problem. -Roberto invested some money at 8%8 \%8% , and then invested $2000\$ 2000$2000 more than twice this amount at 10%10 \%10% . His total annual income from the two investments was $3560\$ 3560$3560 . How much was invested at 10%10 \%10% ?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - 3(2x−4)=5(x+4)3(2 x-4)=5(x+4)3(2x−4)=5(x+4)

The volume of a rectangular solid is to be 120 cubic units. Give two sets of possible dimensions for the solid.

Decide if the statement is . --8 is a solution of 2x−4x=−472 x-4 x=-472x−4x=−47 .

Solve the inequality. Give the solution set in both interval and graph forms. - −25x>−8-\frac{2}{5} x>-8−52​x>−8

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number. -The quotient of 21 and ten times a nonzero number

Solve the absolute value equation. - ∣7k−3∣+2=7|7 \mathrm{k}-3|+2=7∣7k−3∣+2=7

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

If a≤ba \leq ba≤b , is it always true that a−4≤b−4a-4 \leq b-4a−4≤b−4 ? Explain.

Solve the inequality. Give the solution set in both interval and graph forms. - 15(4x−14)<6(10x−12)15(4 x-14)<6(10 x-12)15(4x−14)<6(10x−12)

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 following is an expression or an equation. - $-3 x+10+10 x+7$

Solve the equation or inequality. - $|\mathrm{t}|=-16$

Solve the equation. - $\left|\frac{1}{2} n+2\right|=\left|\frac{3}{4} n-2\right|$

Solve the equation for the specified variable. Use the distributive property to factor as necessary. - $9 s+7 p=t p-7$ for $p$

Solve the inequality. Give the solution set in both interval and graph forms. - $-2(3 z+11)<-8 z-18$

Decide whether the following is an expression or an equation. - $3 x-(2 x-1)=2$

Decide whether the following is an expression or an equation. - $6(6 x+5)=8(9 x-6)$

Provide an appropriate response. -Give an equation or inequality that states the distance between $3 x$ and 6.6 is equal to 6 .

Solve the compound or absolute value inequality. - $|6-3 x| \geq 3$

Solve the investment problem. -Roberto invested some money at $8 \%$ , and then invested $\$ 2000$ more than twice this amount at $10 \%$ . His total annual income from the two investments was $\$ 3560$ . How much was invested at $10 \%$ ?

Decide whether the following is an expression or an equation. Simplify any expression or solve any equation. - $3(2 x-4)=5(x+4)$

Decide if the statement is . --8 is a solution of $2 x-4 x=-47$ .

Solve the inequality. Give the solution set in both interval and graph forms. - $-\frac{2}{5} x>-8$ $Solve the inequality. Give the solution set in both interval and graph forms. - -\frac{2}{5} x>-8$

Solve the absolute value equation. - $|7 \mathrm{k}-3|+2=7$

If $a \leq b$ , is it always true that $a-4 \leq b-4$ ? Explain.

Solve the inequality. Give the solution set in both interval and graph forms. - $15(4 x-14)<6(10 x-12)$