Question 1

Decide what values of the variable cannot possibly be solutions for the equation.
-$$x ^ { 4 } + 2000 = 141 x ^ { 2 }$$

Accepted Answer

A)  $\{ 16,125 \}$ 
B)  $\{ 4,5 \sqrt { 5 } \}$ 
C)  $\{ - 5 \sqrt { 5 } , - 4,4,5 \sqrt { 5 } \}$ 
D)  $\{ - 125 , - 16,16,125 \}$ 
A)  $\{ 16,125 \}$ 
B)  $\{ 4,5 \sqrt { 5 } \}$ 
C)  $\{ - 5 \sqrt { 5 } , - 4,4,5 \sqrt { 5 } \}$ 
D)  $\{ - 125 , - 16,16,125 \}$

Question 2

Solve the problem.
-A bank loaned out $54,000, part of it at the rate of 2.75% per year and the rest at a rate of 3.25% per year. If the interest received was $1595.00, how much was loaned at 2.75%?

Accepted Answer

A)  $22,000 
B)  $32,000 
C)  $33,000 
D)  $21,000 
A)  $22,000 
B)  $32,000 
C)  $33,000 
D)  $21,000

Question 3

Solve for y.
-$$5 x + 9 y = 7$$

Accepted Answer

A)  $y = 5 + 5 x$ 
B)  $y = \frac { 16 } { 5 x }$ 
C)  $y = 16 - 5 x$ 
D)  $y = \frac { 7 - 5 x } { 9 }$ 
A)  $y = 5 + 5 x$ 
B)  $y = \frac { 16 } { 5 x }$ 
C)  $y = 16 - 5 x$ 
D)  $y = \frac { 7 - 5 x } { 9 }$

Question 4

Solve the problem.
-Jill is 9 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 2 hours. How fast is Joe walking?

Accepted Answer

A)  3 km/hr 
B)  1.5 km/hr 
C)  5 km/hr 
D)  4 km/hr 
A)  3 km/hr 
B)  1.5 km/hr 
C)  5 km/hr 
D)  4 km/hr

Question 5

Solve and graph the inequality. Give answer in interval notation.
-$$- 6 x - 3 \leq - 7 x - 5$$

Accepted Answer

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

Question 6

Graph the solution set.
-$| x | \geq 3$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 7

Graph the solution set.
-$\left| \frac { 5 x + 6 } { 4 x - 9 } \right| = 2$

Accepted Answer

A)  $\left\{ - \frac { 24 } { 13 } , 4 \right\}$ 
B)  $\left\{ 4 , \frac { 24 } { 13 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 5 } , - \frac { 8 } { 5 } \right\}$ 
D)  $\left\{ 8 , \frac { 12 } { 13 } \right\}$ 
A)  $\left\{ - \frac { 24 } { 13 } , 4 \right\}$ 
B)  $\left\{ 4 , \frac { 24 } { 13 } \right\}$ 
C)  $\left\{ - \frac { 4 } { 5 } , - \frac { 8 } { 5 } \right\}$ 
D)  $\left\{ 8 , \frac { 12 } { 13 } \right\}$

Question 8

Solve the equation by completing the square.
-$$4 x ^ { 2 } - 7 x = 1$$

Accepted Answer

A)  $\left\{ \frac { 7 \pm \sqrt { 65 } } { 8 } \right\}$ 
B)  $\left\{ - \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$ 
C)  $\left\{ \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$ 
D)  $\left\{ \frac { - 7 \pm \sqrt { 65 } } { 8 } \right\}$ 
A)  $\left\{ \frac { 7 \pm \sqrt { 65 } } { 8 } \right\}$ 
B)  $\left\{ - \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$ 
C)  $\left\{ \frac { 7 } { 8 } \pm \frac { \sqrt { 65 } } { 8 } \mathrm { i } \right\}$ 
D)  $\left\{ \frac { - 7 \pm \sqrt { 65 } } { 8 } \right\}$

Question 9

Find the quotient. Write the answer in standard form.
-$\frac { 9 } { - 1 }$

Accepted Answer

A)  9 
B)  $- 9$ 
C)  $9 \mathrm { i }$ 
D)  $- 9 \mathrm { i }$ 
A)  9 
B)  $- 9$ 
C)  $9 \mathrm { i }$ 
D)  $- 9 \mathrm { i }$

Question 10

Find the product. Write the answer in standard form.
-$( 4 - 5 i ) ( 6 - 6 i )$

Accepted Answer

A)  $54 - 6 \mathrm { i }$ 
B)  $- 6 + 54 \mathrm { i }$ 
C)  $30 \mathrm { i } ^ { 2 } - 54 \mathrm { i } + 24$ 
D)  $- 6 - 54 \mathrm { i }$ 
A)  $54 - 6 \mathrm { i }$ 
B)  $- 6 + 54 \mathrm { i }$ 
C)  $30 \mathrm { i } ^ { 2 } - 54 \mathrm { i } + 24$ 
D)  $- 6 - 54 \mathrm { i }$

Question 11

Determine whether or not the equation is linear.
-$$\frac { x + 2 } { 4 } = \frac { x + 7 } { 8 }$$

Accepted Answer

A)  $\{ 3 \}$ 
B)  $\left\{ \frac { 13 } { 2 } \right\}$ 
C)  $\{ 1 \}$ 
D)  $\{ 11 \}$ 
A)  $\{ 3 \}$ 
B)  $\left\{ \frac { 13 } { 2 } \right\}$ 
C)  $\{ 1 \}$ 
D)  $\{ 11 \}$

Question 12

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.
-$$- 6 x + 108 + 3 ( 2 x - 33 ) = 0$$

Accepted Answer

A)  Identity; $\{$ all real numbers $\}$ 
B)  Conditional; $\{ 2 \}$ 
C)  Conditional; $\{ 1 \}$ 
D)  Contradiction; $\varnothing$ 
A)  Identity; $\{$ all real numbers $\}$ 
B)  Conditional; $\{ 2 \}$ 
C)  Conditional; $\{ 1 \}$ 
D)  Contradiction; $\varnothing$

Question 13

Decide whether the statement is true or false.
-$- 4 \text { is a solution of } 7 x + 5 x = 13 x \text {. }$

Accepted Answer

A) True 
 B)False

Question 14

Decide what values of the variable cannot possibly be solutions for the equation.
-$$\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x ^ { 2 } + 5 x + 6 } = \frac { 3 } { x ^ { 2 } + x - 6 }$$

Accepted Answer

A)  $\{ - 3 , - 2,2 \}$ 
B)  $\left\{ \frac { 27 } { 5 } \right\}$ 
C)  $\{ 15 \}$ 
D)  $\{ 7 \}$ 
A)  $\{ - 3 , - 2,2 \}$ 
B)  $\left\{ \frac { 27 } { 5 } \right\}$ 
C)  $\{ 15 \}$ 
D)  $\{ 7 \}$

Question 15

Solve for y.
-$$9 x ^ { 2 } - y + 7 x = 0$$

Accepted Answer

A)  $y = - 9 x ^ { 2 } - 7 x$ 
B)  $y = 9 x ^ { 2 } + 7 x$ 
C)  $y = - 9 x ^ { 2 } + 7 x$ 
D)  $y = 9 x ^ { 2 } - 7 x$ 
A)  $y = - 9 x ^ { 2 } - 7 x$ 
B)  $y = 9 x ^ { 2 } + 7 x$ 
C)  $y = - 9 x ^ { 2 } + 7 x$ 
D)  $y = 9 x ^ { 2 } - 7 x$

Question 16

Find the sum or difference. Write the answer in standard form.
-$$( 8 + 9 i ) - ( - 6 + i )$$

Accepted Answer

A)  $14 - 8 \mathrm { i }$ 
B)  $- 14 - 8 i$ 
C)  $2 + 10 \mathrm { i }$ 
D)  $14 + 8 i$ 
A)  $14 - 8 \mathrm { i }$ 
B)  $- 14 - 8 i$ 
C)  $2 + 10 \mathrm { i }$ 
D)  $14 + 8 i$

Question 17

Solve the problem.
-Tom Quig traveled 290 miles east of St. Louis. For most of the trip he averaged 70 mph, but for one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was 7 hours, how many miles
Did he drive at the reduced speed?

Accepted Answer

A)  80 mi 
B)  100 mi 
C)  90 mi 
D)  75 mi 
A)  80 mi 
B)  100 mi 
C)  90 mi 
D)  75 mi

Question 18

Find the sum or difference. Write the answer in standard form.
-$$( - 3 + 8 i ) - 7$$

Accepted Answer

A)  $- 10 + 8 i$ 
B)  $10 - 8 \mathrm { i }$ 
C)  $4 - 8 \mathrm { i }$ 
D)  $4 + 8 \mathrm { i }$ 
A)  $- 10 + 8 i$ 
B)  $10 - 8 \mathrm { i }$ 
C)  $4 - 8 \mathrm { i }$ 
D)  $4 + 8 \mathrm { i }$

Question 19

Decide what values of the variable cannot possibly be solutions for the equation.
-$$\frac { 24 } { x - 2 } + \frac { 24 } { x + 2 } = 5$$

Accepted Answer

A)  $\left\{ - \frac { 2 } { 5 } , 10 \right\}$ 
B)  $\left\{ - \frac { 5 } { 2 } , - 10 \right\}$ 
C)  $\{ 2,10 \}$ 
D)  $\left\{ \frac { 2 } { 5 } , - 10 \right\}$ 
A)  $\left\{ - \frac { 2 } { 5 } , 10 \right\}$ 
B)  $\left\{ - \frac { 5 } { 2 } , - 10 \right\}$ 
C)  $\{ 2,10 \}$ 
D)  $\left\{ \frac { 2 } { 5 } , - 10 \right\}$

Question 20

Solve the equation for the indicated variable. Assume no denominator is 0.
-$A = 2 \pi a ^ { 2 }$, for a

Accepted Answer

A)  $a = \frac { \pm A \sqrt { 2 \pi } } { 2 \pi }$ 
B)  $a = \frac { \pm \sqrt { 2 \pi \mathrm { A } } } { 2 \pi }$ 
C)  $a = \sqrt { 2 \pi \mathrm { A } }$ 
D)  $a = \frac { \pm \sqrt { \mathrm { A } \pi } } { 2 }$ 
A)  $a = \frac { \pm A \sqrt { 2 \pi } } { 2 \pi }$ 
B)  $a = \frac { \pm \sqrt { 2 \pi \mathrm { A } } } { 2 \pi }$ 
C)  $a = \sqrt { 2 \pi \mathrm { A } }$ 
D)  $a = \frac { \pm \sqrt { \mathrm { A } \pi } } { 2 }$

Decide what values of the variable cannot possibly be solutions for the equation. - $x ^ { 4 } + 2000 = 141 x ^ { 2 }$

Solve the problem. -A bank loaned out $54,000, part of it at the rate of 2.75% per year and the rest at a rate of 3.25% per year. If the interest received was $1595.00, how much was loaned at 2.75%?

Solve for y. - $5 x + 9 y = 7$

Solve the problem. -Jill is 9 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 2 hours. How fast is Joe walking?

Solve and graph the inequality. Give answer in interval notation. - $- 6 x - 3 \leq - 7 x - 5$ $Solve and graph the inequality. Give answer in interval notation. - - 6 x - 3 \leq - 7 x - 5$

Graph the solution set. - $| x | \geq 3$ $Graph the solution set. - | x | \geq 3$

Graph the solution set. - $\left| \frac { 5 x + 6 } { 4 x - 9 } \right| = 2$

Solve the equation by completing the square. - $4 x ^ { 2 } - 7 x = 1$

Find the quotient. Write the answer in standard form. - $\frac { 9 } { - 1 }$

Find the product. Write the answer in standard form. - $( 4 - 5 i ) ( 6 - 6 i )$

Determine whether or not the equation is linear. - $\frac { x + 2 } { 4 } = \frac { x + 7 } { 8 }$

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - $- 6 x + 108 + 3 ( 2 x - 33 ) = 0$

Decide whether the statement is true or false. - $- 4 \text { is a solution of } 7 x + 5 x = 13 x \text {. }$

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x ^ { 2 } + 5 x + 6 } = \frac { 3 } { x ^ { 2 } + x - 6 }$

Solve for y. - $9 x ^ { 2 } - y + 7 x = 0$

Find the sum or difference. Write the answer in standard form. - $( 8 + 9 i ) - ( - 6 + i )$

Solve the problem. -Tom Quig traveled 290 miles east of St. Louis. For most of the trip he averaged 70 mph, but for one period of time he was slowed to 20 mph due to a major accident. If the total time of travel was 7 hours, how many miles Did he drive at the reduced speed?

Find the sum or difference. Write the answer in standard form. - $( - 3 + 8 i ) - 7$

Decide what values of the variable cannot possibly be solutions for the equation. - $\frac { 24 } { x - 2 } + \frac { 24 } { x + 2 } = 5$

Solve the equation for the indicated variable. Assume no denominator is 0. - $A = 2 \pi a ^ { 2 }$ , for a

Review of Basic Concepts

Graphs and Functions

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 2: Equations and Inequalities

Decide what values of the variable cannot possibly be solutions for the equation. - x4+2000=141x2x ^ { 4 } + 2000 = 141 x ^ { 2 }x4+2000=141x2

Solve the problem. -A bank loaned out $54,000, part of it at the rate of 2.75% per year and the rest at a rate of 3.25% per year. If the interest received was $1595.00, how much was loaned at 2.75%?

Solve for y. - 5x+9y=75 x + 9 y = 75x+9y=7

Solve the problem. -Jill is 9 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 2 hours. How fast is Joe walking?

Solve and graph the inequality. Give answer in interval notation. - −6x−3≤−7x−5- 6 x - 3 \leq - 7 x - 5−6x−3≤−7x−5

Graph the solution set. - ∣x∣≥3| x | \geq 3∣x∣≥3

Graph the solution set. - ∣5x+64x−9∣=2\left| \frac { 5 x + 6 } { 4 x - 9 } \right| = 2​4x−95x+6​​=2

Solve the equation by completing the square. - 4x2−7x=14 x ^ { 2 } - 7 x = 14x2−7x=1

Find the quotient. Write the answer in standard form. - 9−1\frac { 9 } { - 1 }−19​

Find the product. Write the answer in standard form. - (4−5i)(6−6i)( 4 - 5 i ) ( 6 - 6 i )(4−5i)(6−6i)

Determine whether or not the equation is linear. - x+24=x+78\frac { x + 2 } { 4 } = \frac { x + 7 } { 8 }4x+2​=8x+7​

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. - −6x+108+3(2x−33)=0- 6 x + 108 + 3 ( 2 x - 33 ) = 0−6x+108+3(2x−33)=0

Decide whether the statement is true or false. - −4 is a solution of 7x+5x=13x. - 4 \text { is a solution of } 7 x + 5 x = 13 x \text {. }−4 is a solution of 7x+5x=13x.

Decide what values of the variable cannot possibly be solutions for the equation. - 5x2−4−3x2+5x+6=3x2+x−6\frac { 5 } { x ^ { 2 } - 4 } - \frac { 3 } { x ^ { 2 } + 5 x + 6 } = \frac { 3 } { x ^ { 2 } + x - 6 }x2−45​−x2+5x+63​=x2+x−63​

Solve for y. - 9x2−y+7x=09 x ^ { 2 } - y + 7 x = 09x2−y+7x=0

Find the sum or difference. Write the answer in standard form. - (8+9i)−(−6+i)( 8 + 9 i ) - ( - 6 + i )(8+9i)−(−6+i)