Question 1

$\frac{1}{4}(12 x-16)=\frac{1}{5}(20 x-15)$

Accepted Answer

A)  $\left\{\frac{1}{12}\right\}$ 
B)  $\{1\}$ 
C)  $\{1\}$. 
D)  $\{12\}$ 
A)  $\left\{\frac{1}{12}\right\}$ 
B)  $\{1\}$ 
C)  $\{1\}$. 
D)  $\{12\}$ C

Question 2

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$6-|x+3| \geq-9$

Accepted Answer

A)  $[-18,12]$
  
B)  $[-15,15]$
  
C)  $(-\infty,-18] \cup[12, \infty)$
  
D)  $(-\infty, 12)$
  
A)  $[-18,12]$
  
B)  $[-15,15]$
  
C)  $(-\infty,-18] \cup[12, \infty)$
  
D)  $(-\infty, 12)$
  A

Question 3

Simplify, where possible
-$2 a-2 b+6 c-2(5 a+6 b-9 c)$

Accepted Answer

A)  $-8 a-8 b+15 c$ 
B)  $-8 a+10 b-12 c$ 
C)  $-8 a-14 b+24 c$ 
D)  $-3 a+4 b-3 c$ 
A)  $-8 a-8 b+15 c$ 
B)  $-8 a+10 b-12 c$ 
C)  $-8 a-14 b+24 c$ 
D)  $-3 a+4 b-3 c$ C

Question 4

A circle has a circumference of $40 \pi$ meters. Find the radius of the circle.

Accepted Answer

A)  20 meters 
B)  6 meters 
C)  40 meters 
D)  10 meters 
A)  20 meters 
B)  6 meters 
C)  40 meters 
D)  10 meters

Question 5

$4 x+y=4$ for $y$

Accepted Answer

A)  $y=4 x+4$ 
B)  $y=-4 x+4$ 
C)  $y=-4 x-4$ 
D)  $y=4 x-4$ 
A)  $y=4 x+4$ 
B)  $y=-4 x+4$ 
C)  $y=-4 x-4$ 
D)  $y=4 x-4$

Question 6

Graph the solution on a number line, and express it in interval notation.
-$\frac{x}{2}+5 \leq 10$

Accepted Answer

A)  $x \geq 10,[10, \infty)$
  
B)  $x \leq-3,(\infty,-3]$
  
C)  $\mathrm{x} \leq 10,(\infty, 10]$
  
D)  $\mathrm{x}<12$, $(\infty, 12)$
  
A)  $x \geq 10,[10, \infty)$
  
B)  $x \leq-3,(\infty,-3]$
  
C)  $\mathrm{x} \leq 10,(\infty, 10]$
  
D)  $\mathrm{x}<12$, $(\infty, 12)$

Question 7

Simplify, where possible
-$8(1-y)$

Accepted Answer

A)  $8-y$ 
B)  $8+8 y$ 
C)  $8-8 y$ 
D)  1 - $8 y$ 
A)  $8-y$ 
B)  $8+8 y$ 
C)  $8-8 y$ 
D)  1 - $8 y$

Question 8

A car rental company has two rental rates. Rate 1 is $\$ 54$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 108$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Accepted Answer

A)  More than 58,800 miles 
B)  More than 14,700 miles 
C)  More than 4200 miles 
D)  More than 30,100 miles 
A)  More than 58,800 miles 
B)  More than 14,700 miles 
C)  More than 4200 miles 
D)  More than 30,100 miles

Question 9

Simplify, where possible
-$-3 b+7 b$

Accepted Answer

A)  $4 b^{2}$ 
B)  $-10 b$ 
C)  $-4 b$ 
D)  $4 \mathrm{~b}$ 
A)  $4 b^{2}$ 
B)  $-10 b$ 
C)  $-4 b$ 
D)  $4 \mathrm{~b}$

Question 10

Graph the solution on a number line, and express it in interval notation.
-$-2 x<\frac{1}{7}$

Accepted Answer

A) $x\frac{3}{7},\left(\frac{3}{7}, \infty\right)$ C) $x>-\frac{1}{14},\left(-\frac{1}{14}, \infty\right)$ D) $x<\frac{1}{14},\left(\infty, \frac{1}{14}\right)$ A) $x\frac{3}{7},\left(\frac{3}{7}, \infty\right)$ C) $x>-\frac{1}{14},\left(-\frac{1}{14}, \infty\right)$ D) $x<\frac{1}{14},\left(\infty, \frac{1}{14}\right)$

Question 11

Simplify, where possible
-$2(x+7+8 y)$

Accepted Answer

A)  $2 x+14+16 y$ 
B)  $2 x+14+8 y$ 
C)  $x+14+16 y$ 
D)  $2 x+7+8 y$ 
A)  $2 x+14+16 y$ 
B)  $2 x+14+8 y$ 
C)  $x+14+16 y$ 
D)  $2 x+7+8 y$

Question 12

Write an inequality associated with the given graph
-

Accepted Answer

A)  $-3 \leq x \leq 1$ 
B)  $\mathrm{x}1$ 
C)  $\mathrm{x} \leq-3$ or $\mathrm{x} \geq 1$ 
D)  $-3< x<1$ 
A)  $-3 \leq x \leq 1$ 
B)  $\mathrm{x}1$ 
C)  $\mathrm{x} \leq-3$ or $\mathrm{x} \geq 1$ 
D)  $-3< x<1$

Question 13

Gregor Mendel found that green alleles in pea pods (G) are dominant to yellow alleles (y), and a pea pod plant can only haveyellow pods if it is homozygous yellow (yy). When two heterozygous pea plants (Gy) are crossed, we would expect 3 out of every 4 offspring to have green pods. If 500 plants are created by crossing two heterozygous pea plants, how many of them would we expect to have green pods?

Accepted Answer

A)  500 
B)  375 
C)  100 
D)  125 
A)  500 
B)  375 
C)  100 
D)  125

Question 14

For the expression,

Accepted Answer

A)  determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$6 a-7 b+2 c-9(2 a+9 b-9 c)$ 
A)  a) 3
b) - $12 \mathrm{a}, 74 \mathrm{~b},-79 \mathrm{c}$
c) $-12,74,-79$ 
B)  a) 3
b) - 12a, - 16b, 11c
c) $-12,-16,11$ 
C)  a) 3
b) - 12a, - 88b, 83c
c) $-12,-88,83$ 
D)  a) 3
b) $4 \mathrm{a}, 2 \mathrm{~b},-7 \mathrm{c}$
c) $4,2,-7$ 
A)  determine the number of terms;
b) write down each term; and
c) write down the coefficient for each.
Be sure to simplify the expression before answering.
-$6 a-7 b+2 c-9(2 a+9 b-9 c)$ 
A)  a) 3
b) - $12 \mathrm{a}, 74 \mathrm{~b},-79 \mathrm{c}$
c) $-12,74,-79$ 
B)  a) 3
b) - 12a, - 16b, 11c
c) $-12,-16,11$ 
C)  a) 3
b) - 12a, - 88b, 83c
c) $-12,-88,83$ 
D)  a) 3
b) $4 \mathrm{a}, 2 \mathrm{~b},-7 \mathrm{c}$
c) $4,2,-7$

Question 15

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied.
-15x - 125 is less than $\varepsilon$ away from 130 whenever $\mathrm{x}$ is less than $\delta$ away from - 17 .

Accepted Answer

A)  $\delta=\frac{\varepsilon}{-15}$ 
B)  $\delta=\frac{\varepsilon}{-17}$ 
C)  $\delta=\frac{\varepsilon}{17}$ 
D)  $\delta=\frac{\varepsilon}{15}$ 
A)  $\delta=\frac{\varepsilon}{-15}$ 
B)  $\delta=\frac{\varepsilon}{-17}$ 
C)  $\delta=\frac{\varepsilon}{17}$ 
D)  $\delta=\frac{\varepsilon}{15}$

Question 16

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary.
-$9 \mathrm{qt}^{\mathrm{ft}} \mathrm{ft}^{2}$ to gal/acre $\left(1 \mathrm{acre}=43,560 \mathrm{ft}^{2}\right)$

Accepted Answer

A)  $98,010 \mathrm{gal} / \mathrm{acre}$ 
B)  $196,020 \mathrm{gal} / \mathrm{acre}$ 
C)  $4840 \mathrm{gal} / \mathrm{acre}$ 
D)  $19,360 \mathrm{gal} / \mathrm{acre}$ 
A)  $98,010 \mathrm{gal} / \mathrm{acre}$ 
B)  $196,020 \mathrm{gal} / \mathrm{acre}$ 
C)  $4840 \mathrm{gal} / \mathrm{acre}$ 
D)  $19,360 \mathrm{gal} / \mathrm{acre}$

Question 17

Graph the solution on a number line, and express it in interval notation.
-$12 x+6 \leq 11 x+7$

Accepted Answer

A)  $ x \leq 1,(-\infty, 1] $
  
B)  $ x12,(12, \infty) $
  
A)  $ x \leq 1,(-\infty, 1] $
  
B)  $ x12,(12, \infty) $

Question 18

Simplify, where possible
-$-2(-3 x-6 y+8)$

Accepted Answer

A)  $6 x-12 y+16$ 
B)  $6 x-6 y+8$ 
C)  $6 x+12 y-16$ 
D)  $6 x+6 y-8$ 
A)  $6 x-12 y+16$ 
B)  $6 x-6 y+8$ 
C)  $6 x+12 y-16$ 
D)  $6 x+6 y-8$

Question 19

Write an inequality associated with the given interval notation
-$[-3,4]$

Accepted Answer

A)  $\mathrm{x} \geq-3$ or $\mathrm{x} \leq 4$ 
B)  $\mathrm{x} \leq-3$ or $\mathrm{x} \geq 4$ 
C)  $-3< x<4$ 
D)  $-3 \leq x \leq 4$ 
A)  $\mathrm{x} \geq-3$ or $\mathrm{x} \leq 4$ 
B)  $\mathrm{x} \leq-3$ or $\mathrm{x} \geq 4$ 
C)  $-3< x<4$ 
D)  $-3 \leq x \leq 4$

Question 20

Graph the inequality
-$x>0$

Accepted Answer

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

$\frac{1}{4}(12 x-16)=\frac{1}{5}(20 x-15)$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $6-|x+3| \geq-9$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 6-|x+3| \geq-9$

Simplify, where possible - $2 a-2 b+6 c-2(5 a+6 b-9 c)$

A circle has a circumference of $40 \pi$ meters. Find the radius of the circle.

$4 x+y=4$ for $y$

Graph the solution on a number line, and express it in interval notation. - $\frac{x}{2}+5 \leq 10$ $Graph the solution on a number line, and express it in interval notation. - \frac{x}{2}+5 \leq 10$

Simplify, where possible - $8(1-y)$

A car rental company has two rental rates. Rate 1 is $\$ 54$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 108$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Simplify, where possible - $-3 b+7 b$

Graph the solution on a number line, and express it in interval notation. - $-2 x<\frac{1}{7}$ $Graph the solution on a number line, and express it in interval notation. - -2 x<\frac{1}{7}$

Simplify, where possible - $2(x+7+8 y)$

Write an inequality associated with the given graph -

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $6 a-7 b+2 c-9(2 a+9 b-9 c)$

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied. -15x - 125 is less than $\varepsilon$ away from 130 whenever $\mathrm{x}$ is less than $\delta$ away from - 17 .

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - $9 \mathrm{qt}^{\mathrm{ft}} \mathrm{ft}^{2}$ to gal/acre $\left(1 \mathrm{acre}=43,560 \mathrm{ft}^{2}\right)$

Graph the solution on a number line, and express it in interval notation. - $12 x+6 \leq 11 x+7$ $Graph the solution on a number line, and express it in interval notation. - 12 x+6 \leq 11 x+7$

Simplify, where possible - $-2(-3 x-6 y+8)$

Write an inequality associated with the given interval notation - $[-3,4]$

Graph the inequality - $x>0$

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Linear and Absolute Value Equations and Inequalities

14(12x−16)=15(20x−15)\frac{1}{4}(12 x-16)=\frac{1}{5}(20 x-15)41​(12x−16)=51​(20x−15)

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 6−∣x+3∣≥−96-|x+3| \geq-96−∣x+3∣≥−9

Simplify, where possible - 2a−2b+6c−2(5a+6b−9c)2 a-2 b+6 c-2(5 a+6 b-9 c)2a−2b+6c−2(5a+6b−9c)

A circle has a circumference of 40π40 \pi40π meters. Find the radius of the circle.

4x+y=44 x+y=44x+y=4 for yyy

Graph the solution on a number line, and express it in interval notation. - x2+5≤10\frac{x}{2}+5 \leq 102x​+5≤10

Simplify, where possible - 8(1−y)8(1-y)8(1−y)

A car rental company has two rental rates. Rate 1 is $54\$ 54$54 per day plus $0.18\$ 0.18$0.18 per mile. Rate 2 is $108\$ 108$108 per day plus $0.09\$ 0.09$0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Simplify, where possible - −3b+7b-3 b+7 b−3b+7b

Graph the solution on a number line, and express it in interval notation. - −2x<17-2 x<\frac{1}{7}−2x<71​

Simplify, where possible - 2(x+7+8y)2(x+7+8 y)2(x+7+8y)

Write an inequality associated with the given graph -

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - 6a−7b+2c−9(2a+9b−9c)6 a-7 b+2 c-9(2 a+9 b-9 c)6a−7b+2c−9(2a+9b−9c)

Show that for any positive number ε\varepsilonε we can find a positive number δ\deltaδ such that the statement below is satisfied. -15x - 125 is less than ε\varepsilonε away from 130 whenever x\mathrm{x}x is less than δ\deltaδ away from - 17 .

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - 9qtftft29 \mathrm{qt}^{\mathrm{ft}} \mathrm{ft}^{2}9qtftft2 to gal/acre (1acre=43,560ft2)\left(1 \mathrm{acre}=43,560 \mathrm{ft}^{2}\right)(1acre=43,560ft2)

Graph the solution on a number line, and express it in interval notation. - 12x+6≤11x+712 x+6 \leq 11 x+712x+6≤11x+7

Simplify, where possible - −2(−3x−6y+8)-2(-3 x-6 y+8)−2(−3x−6y+8)

Write an inequality associated with the given interval notation - [−3,4][-3,4][−3,4]

Graph the inequality - x>0x>0x>0

Review of Real Numbers

Graphing Linear Equations

Systems of Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

$\frac{1}{4}(12 x-16)=\frac{1}{5}(20 x-15)$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $6-|x+3| \geq-9$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - 6-|x+3| \geq-9$

Simplify, where possible - $2 a-2 b+6 c-2(5 a+6 b-9 c)$

A circle has a circumference of $40 \pi$ meters. Find the radius of the circle.

$4 x+y=4$ for $y$

Graph the solution on a number line, and express it in interval notation. - $\frac{x}{2}+5 \leq 10$ $Graph the solution on a number line, and express it in interval notation. - \frac{x}{2}+5 \leq 10$

Simplify, where possible - $8(1-y)$

A car rental company has two rental rates. Rate 1 is $\$ 54$ per day plus $\$ 0.18$ per mile. Rate 2 is $\$ 108$ per day plus $\$ 0.09$ per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2 ?

Simplify, where possible - $-3 b+7 b$

Graph the solution on a number line, and express it in interval notation. - $-2 x<\frac{1}{7}$ $Graph the solution on a number line, and express it in interval notation. - -2 x<\frac{1}{7}$

Simplify, where possible - $2(x+7+8 y)$

For the expression, A) determine the number of terms; b) write down each term; and c) write down the coefficient for each. Be sure to simplify the expression before answering. - $6 a-7 b+2 c-9(2 a+9 b-9 c)$

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied. -15x - 125 is less than $\varepsilon$ away from 130 whenever $\mathrm{x}$ is less than $\delta$ away from - 17 .

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - $9 \mathrm{qt}^{\mathrm{ft}} \mathrm{ft}^{2}$ to gal/acre $\left(1 \mathrm{acre}=43,560 \mathrm{ft}^{2}\right)$

Graph the solution on a number line, and express it in interval notation. - $12 x+6 \leq 11 x+7$ $Graph the solution on a number line, and express it in interval notation. - 12 x+6 \leq 11 x+7$

Simplify, where possible - $-2(-3 x-6 y+8)$

Write an inequality associated with the given interval notation - $[-3,4]$

Graph the inequality - $x>0$