Question 1

Write the inequality in interval notation
-$x>15$ or $x \leq 5$

Accepted Answer

A)  $(-\infty, 15) \cup[5, \infty)$ 
B)  $(-\infty, 5) \cup[15, \infty)$ 
C)  $(-\infty, 5] \cup(15, \infty)$ 
D)  $[5,15)$ 
A)  $(-\infty, 15) \cup[5, \infty)$ 
B)  $(-\infty, 5) \cup[15, \infty)$ 
C)  $(-\infty, 5] \cup(15, \infty)$ 
D)  $[5,15)$

Question 2

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary.
-$5.2 \mathrm{gal}$ to $\mathrm{pt}$

Accepted Answer

A)  $20.8 \mathrm{pt}$ 
B)  $41.6 \mathrm{pt}$ 
C)  $31.2 \mathrm{pt}$ 
D)  $62.4 \mathrm{pt}$ 
A)  $20.8 \mathrm{pt}$ 
B)  $41.6 \mathrm{pt}$ 
C)  $31.2 \mathrm{pt}$ 
D)  $62.4 \mathrm{pt}$

Question 3

Build a variable expression for the given phrase
-Six times a number

Accepted Answer

A)  $6-x$ 
B)  $6+x$ 
C)  $\frac{6}{x}$ 
D)  $6 \mathrm{x}$ 
A)  $6-x$ 
B)  $6+x$ 
C)  $\frac{6}{x}$ 
D)  $6 \mathrm{x}$

Question 4

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.
-$22 x^{4}-7 x^{3}+12 x^{2}-11 x+201$ 
A)  a) 4
b) $15 x^{3}, 12 x^{2},-11 x, 201$
c) $15,12,-11,201$ 
B)  a) 5
b) $22 x^{4}, 7 x^{3}, 12 x^{2}, 11 x, 201$
c) $22,7,12,11,201$ 
C)  a) 5
b) $22 x^{4},-7 x^{3}, 12 x^{2},-11 x, 201$
c) $22,-7,12,-11,201$ 
D)  a) 4
b) $15 x^{3}, 12 x^{2}, 11 x, 201$
c) 15, 12, 11, 201 
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.
-$22 x^{4}-7 x^{3}+12 x^{2}-11 x+201$ 
A)  a) 4
b) $15 x^{3}, 12 x^{2},-11 x, 201$
c) $15,12,-11,201$ 
B)  a) 5
b) $22 x^{4}, 7 x^{3}, 12 x^{2}, 11 x, 201$
c) $22,7,12,11,201$ 
C)  a) 5
b) $22 x^{4},-7 x^{3}, 12 x^{2},-11 x, 201$
c) $22,-7,12,-11,201$ 
D)  a) 4
b) $15 x^{3}, 12 x^{2}, 11 x, 201$
c) 15, 12, 11, 201

Question 5

Simplify, where possible
-$30 x-9 y-20 x-7 y$

Accepted Answer

A)  $10 x-9 y-7$ 
B)  $10 x-2 y$ 
C)  $10 x-16 y$ 
D)  - $10 x-16 y$ 
A)  $10 x-9 y-7$ 
B)  $10 x-2 y$ 
C)  $10 x-16 y$ 
D)  - $10 x-16 y$

Question 6

Graph the inequality
-$\mathrm{x} \leq-4.1$ or $\mathrm{x}>-0.7$

Accepted Answer

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

Question 7

Graph the solution on a number line, and express it in interval notation.
-$-21 \leq-3 \mathrm{x}-3 \leq-9$

Accepted Answer

A)  $ 2< x<6,(2,6) $
  
B)  $ -6< x<-2,(-6,-2) $
  
C)  $ -6 \leq x \leq-2,[-6,-2] $
  
D)  $ 2 \leq x \leq 6,[2,6] $
  
A)  $ 2< x<6,(2,6) $
  
B)  $ -6< x<-2,(-6,-2) $
  
C)  $ -6 \leq x \leq-2,[-6,-2] $
  
D)  $ 2 \leq x \leq 6,[2,6] $

Question 8

Build a variable expression for the given phrase
-A number minus five hundred five

Accepted Answer

A)  $505 x$ 
B)  $x+505$ 
C)  $505-\mathrm{x}$ 
D)  $x-505$ 
A)  $505 x$ 
B)  $x+505$ 
C)  $505-\mathrm{x}$ 
D)  $x-505$

Question 9

$|8 x+2|=|x+1|$

Accepted Answer

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

Question 10

The second angle of a triangle is 4 times as large as the first. The third angle is $140^{\circ}$ more than the sum of the other two angles. Find the measure of the second angle.

Accepted Answer

A)  $20^{\circ}$ 
B)  $1^{\circ}$ 
C)  $16^{\circ}$ 
D)  $4^{\circ}$ 
A)  $20^{\circ}$ 
B)  $1^{\circ}$ 
C)  $16^{\circ}$ 
D)  $4^{\circ}$

Question 11

Write the given expression using words.
-$2 \mathrm{x}-3$

Accepted Answer

A)  Three less than twice a number 
B)  Two more than three times a number 
C)  Two less than three times a number 
D)  Three more than twice a number 
A)  Three less than twice a number 
B)  Two more than three times a number 
C)  Two less than three times a number 
D)  Three more than twice a number

Question 12

To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac{5}{9}$. When the temperature is $50^{\circ} \mathrm{F}$, what is the temperature in degrees Celsius? Round to the nearest tenth of a degree.

Accepted Answer

A)  $58.0^{\circ} \mathrm{C}$ 
B)  $4.2^{\circ} \mathrm{C}$ 
C)  $10.0^{\circ} \mathrm{C}$ 
D)  $122.0^{\circ} \mathrm{C}$ 
A)  $58.0^{\circ} \mathrm{C}$ 
B)  $4.2^{\circ} \mathrm{C}$ 
C)  $10.0^{\circ} \mathrm{C}$ 
D)  $122.0^{\circ} \mathrm{C}$

Question 13

Write an expression which is equivalent to the expression $8(m-3 n)+4(m-3 n)$. Do not distribute the 8 or the 4 .

Accepted Answer

A)  $32(m-3 n)$ 
B)  $12(m-3 n)^{2}$ 
C)  $12(2 m-6 n)$ 
D)  $12(m-3 n)$ 
A)  $32(m-3 n)$ 
B)  $12(m-3 n)^{2}$ 
C)  $12(2 m-6 n)$ 
D)  $12(m-3 n)$

Question 14

The sum of two consecutive integers is - 239. Find the larger integer.

Accepted Answer

A)  -121 
B)  -118 
C)  -119 
D)  -120 
A)  -121 
B)  -118 
C)  -119 
D)  -120

Question 15

Evaluate the algebraic expression under the given conditions
-$\mathrm{b}^{2}$ - 4ac for $\mathrm{a}=8, \mathrm{~b}=-8$, and $\mathrm{c}=-6$

Accepted Answer

A)  256 
B)  128 
C)  -2880 
D)  108 
A)  256 
B)  128 
C)  -2880 
D)  108

Question 16

$\frac{1}{2}=\frac{n}{17}$

Accepted Answer

A)  $\left\{\frac{1}{34}\right\}$ 
B)  $\{34\}$ 
C)  $\left\{8 \frac{1}{2}\right\}$ 
D)  $\{17\}$ 
A)  $\left\{\frac{1}{34}\right\}$ 
B)  $\{34\}$ 
C)  $\left\{8 \frac{1}{2}\right\}$ 
D)  $\{17\}$

Question 17

If $a \leq b$, is it always true that - $9 a \leq-9 b$ ? Explain.

Accepted Answer

A) True 
 B)False

Question 18

To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac{5}{9}$. When the temperature is below $15^{\circ} \mathrm{F}$ the first grade students are not allowed to play outside. What is this temperature in degrees Celsius?

Accepted Answer

A)  $5.0^{\circ} \mathrm{C}$ 
B)  $59.0^{\circ} \mathrm{C}$ 
C)  $23.7^{\circ} \mathrm{C}$ 
D)  $-9.4^{\circ} \mathrm{C}$ 
A)  $5.0^{\circ} \mathrm{C}$ 
B)  $59.0^{\circ} \mathrm{C}$ 
C)  $23.7^{\circ} \mathrm{C}$ 
D)  $-9.4^{\circ} \mathrm{C}$

Question 19

Graph the solution on a number line, and express it in interval notation.
-$5 \mathrm{x}<20$ or $\quad \mathrm{x}+4 \geq 14$

Accepted Answer

A)  $ x>4,(4, \infty) $
  
B)  $ x4,(-\infty,-10] \cup(4, \infty) $
  
A)  $ x>4,(4, \infty) $
  
B)  $ x4,(-\infty,-10] \cup(4, \infty) $

Question 20

Build a variable expression for the given phrase
-The product of eight and three more than a number

Accepted Answer

A)  $8+3 \cdot x$ 
B)  $8(x+3)$ 
C)  $8 \cdot 3+x$ 
D)  $(8+3) \mathrm{x}$ 
A)  $8+3 \cdot x$ 
B)  $8(x+3)$ 
C)  $8 \cdot 3+x$ 
D)  $(8+3) \mathrm{x}$

Write the inequality in interval notation - $x>15$ or $x \leq 5$

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - $5.2 \mathrm{gal}$ to $\mathrm{pt}$

Build a variable expression for the given phrase -Six times a number

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. - $22 x^{4}-7 x^{3}+12 x^{2}-11 x+201$

Simplify, where possible - $30 x-9 y-20 x-7 y$

Graph the inequality - $\mathrm{x} \leq-4.1$ or $\mathrm{x}>-0.7$ $Graph the inequality - \mathrm{x} \leq-4.1 or \mathrm{x}>-0.7$

Graph the solution on a number line, and express it in interval notation. - $-21 \leq-3 \mathrm{x}-3 \leq-9$ $Graph the solution on a number line, and express it in interval notation. - -21 \leq-3 \mathrm{x}-3 \leq-9$

Build a variable expression for the given phrase -A number minus five hundred five

$|8 x+2|=|x+1|$

The second angle of a triangle is 4 times as large as the first. The third angle is $140^{\circ}$ more than the sum of the other two angles. Find the measure of the second angle.

Write the given expression using words. - $2 \mathrm{x}-3$

To convert a Fahrenheit temperature to a Celsius temperature, we subtract 32 from the Fahrenheit temperature and then multiply the result by $\frac{5}{9}$ . When the temperature is $50^{\circ} \mathrm{F}$ , what is the temperature in degrees Celsius? Round to the nearest tenth of a degree.

Write an expression which is equivalent to the expression $8(m-3 n)+4(m-3 n)$ . Do not distribute the 8 or the 4 .

The sum of two consecutive integers is - 239. Find the larger integer.

Evaluate the algebraic expression under the given conditions - $\mathrm{b}^{2}$ - 4ac for $\mathrm{a}=8, \mathrm{~b}=-8$ , and $\mathrm{c}=-6$

$\frac{1}{2}=\frac{n}{17}$

If $a \leq b$ , is it always true that - $9 a \leq-9 b$ ? Explain.

Graph the solution on a number line, and express it in interval notation. - $5 \mathrm{x}<20$ or $\quad \mathrm{x}+4 \geq 14$ $Graph the solution on a number line, and express it in interval notation. - 5 \mathrm{x}<20 or \quad \mathrm{x}+4 \geq 14$

Build a variable expression for the given phrase -The product of eight and three more than a number

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

Write the inequality in interval notation - x>15x>15x>15 or x≤5x \leq 5x≤5

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - 5.2gal5.2 \mathrm{gal}5.2gal to pt\mathrm{pt}pt

Build a variable expression for the given phrase -Six times a number

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. - 22x4−7x3+12x2−11x+20122 x^{4}-7 x^{3}+12 x^{2}-11 x+20122x4−7x3+12x2−11x+201

Simplify, where possible - 30x−9y−20x−7y30 x-9 y-20 x-7 y30x−9y−20x−7y

Graph the inequality - x≤−4.1\mathrm{x} \leq-4.1x≤−4.1 or x>−0.7\mathrm{x}>-0.7x>−0.7

Graph the solution on a number line, and express it in interval notation. - −21≤−3x−3≤−9-21 \leq-3 \mathrm{x}-3 \leq-9−21≤−3x−3≤−9

Build a variable expression for the given phrase -A number minus five hundred five

∣8x+2∣=∣x+1∣|8 x+2|=|x+1|∣8x+2∣=∣x+1∣

The second angle of a triangle is 4 times as large as the first. The third angle is 140∘140^{\circ}140∘ more than the sum of the other two angles. Find the measure of the second angle.

Write the given expression using words. - 2x−32 \mathrm{x}-32x−3

Write an expression which is equivalent to the expression 8(m−3n)+4(m−3n)8(m-3 n)+4(m-3 n)8(m−3n)+4(m−3n) . Do not distribute the 8 or the 4 .

The sum of two consecutive integers is - 239. Find the larger integer.

Evaluate the algebraic expression under the given conditions - b2\mathrm{b}^{2}b2 - 4ac for a=8, b=−8\mathrm{a}=8, \mathrm{~b}=-8a=8, b=−8 , and c=−6\mathrm{c}=-6c=−6

12=n17\frac{1}{2}=\frac{n}{17}21​=17n​

If a≤ba \leq ba≤b , is it always true that - 9a≤−9b9 a \leq-9 b9a≤−9b ? Explain.

Graph the solution on a number line, and express it in interval notation. - 5x<205 \mathrm{x}<205x<20 or x+4≥14\quad \mathrm{x}+4 \geq 14x+4≥14

Build a variable expression for the given phrase -The product of eight and three more than a number

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

Write the inequality in interval notation - $x>15$ or $x \leq 5$

Use unit factors to convert the given quantity to the desired unit. Round to the nearest tenth if necessary. - $5.2 \mathrm{gal}$ to $\mathrm{pt}$

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. - $22 x^{4}-7 x^{3}+12 x^{2}-11 x+201$

Simplify, where possible - $30 x-9 y-20 x-7 y$

Graph the inequality - $\mathrm{x} \leq-4.1$ or $\mathrm{x}>-0.7$ $Graph the inequality - \mathrm{x} \leq-4.1 or \mathrm{x}>-0.7$

Graph the solution on a number line, and express it in interval notation. - $-21 \leq-3 \mathrm{x}-3 \leq-9$ $Graph the solution on a number line, and express it in interval notation. - -21 \leq-3 \mathrm{x}-3 \leq-9$

$|8 x+2|=|x+1|$

The second angle of a triangle is 4 times as large as the first. The third angle is $140^{\circ}$ more than the sum of the other two angles. Find the measure of the second angle.

Write the given expression using words. - $2 \mathrm{x}-3$

Write an expression which is equivalent to the expression $8(m-3 n)+4(m-3 n)$ . Do not distribute the 8 or the 4 .

Evaluate the algebraic expression under the given conditions - $\mathrm{b}^{2}$ - 4ac for $\mathrm{a}=8, \mathrm{~b}=-8$ , and $\mathrm{c}=-6$

$\frac{1}{2}=\frac{n}{17}$

If $a \leq b$ , is it always true that - $9 a \leq-9 b$ ? Explain.

Graph the solution on a number line, and express it in interval notation. - $5 \mathrm{x}<20$ or $\quad \mathrm{x}+4 \geq 14$ $Graph the solution on a number line, and express it in interval notation. - 5 \mathrm{x}<20 or \quad \mathrm{x}+4 \geq 14$