Question 1

Simplify, where possible
-$10 x-6 x$

Accepted Answer

A)  $4 x$ 
B)  $-4 x$ 
C)  $4 x^{2}$ 
D)  $16 x$ 
A)  $4 x$ 
B)  $-4 x$ 
C)  $4 x^{2}$ 
D)  $16 x$

Question 2

Write an inequality associated with the given interval notation
-$(-\infty, 16)$

Accepted Answer

A)  $\mathrm{x}16$ 
D)  $x \geq 16$ 
A)  $\mathrm{x}16$ 
D)  $x \geq 16$

Question 3

Simplify, where possible
-$6 a-4 b+2$

Accepted Answer

A)  $2 a b+2$ 
B)  $-2 a+2$ 
C)  $4 \mathrm{ab}$ 
D)  $6 a-4 b+2$ 
A)  $2 a b+2$ 
B)  $-2 a+2$ 
C)  $4 \mathrm{ab}$ 
D)  $6 a-4 b+2$

Question 4

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|8 x+3|-2>0$

Accepted Answer

A)  $ \left(-\frac{5}{8},-\frac{1}{8}\right) $
  
B)  $ \left(-\infty,-\frac{5}{8}\right) 
\cup\left(-\frac{1}{8}, \infty\right) $
  
C)  $ \left(-\frac{1}{8}, \infty\right) $
  
D)  $ (-\infty,-8) \cup(8, \infty) $
  
A)  $ \left(-\frac{5}{8},-\frac{1}{8}\right) $
  
B)  $ \left(-\infty,-\frac{5}{8}\right) 
\cup\left(-\frac{1}{8}, \infty\right) $
  
C)  $ \left(-\frac{1}{8}, \infty\right) $
  
D)  $ (-\infty,-8) \cup(8, \infty) $

Question 5

The sum of the measures of the angles of any triangle is $180^{\circ}$. In triangle $A B C$, angles $A$ and $B$ have the same measure, while the measure of angle $\mathrm{C}$ is $60^{\circ}$ larger than each of $\mathrm{A}$ and $\mathrm{B}$. What are the measures of the three angles?

Accepted Answer

A)  A and B: $100^{\circ}$; C: $40^{\circ}$ 
B)  A and B: $50^{\circ}$; C: $80^{\circ}$ 
C)  A and C: $80^{\circ}$; B: $50^{\circ}$ 
D)  A and B: $40^{\circ}$; C: $100^{\circ}$ 
A)  A and B: $100^{\circ}$; C: $40^{\circ}$ 
B)  A and B: $50^{\circ}$; C: $80^{\circ}$ 
C)  A and C: $80^{\circ}$; B: $50^{\circ}$ 
D)  A and B: $40^{\circ}$; C: $100^{\circ}$

Question 6

Graph the inequality
-$\mathrm{x} \leq 4$

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.
-$1 \leq 2 x-3 \leq 9$

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

Write the inequality in interval notation
-$-7.5< x \leq-0.1$

Accepted Answer

A)  $(\infty,-7.5) \cup[-0.1, \infty)$ 
B)  $[-7.5,-0.1)$ 
C)  $(-7.5,-0.1]$ 
D)  $(\infty,-7.5] \cup(-0.1, \infty)$ 
A)  $(\infty,-7.5) \cup[-0.1, \infty)$ 
B)  $[-7.5,-0.1)$ 
C)  $(-7.5,-0.1]$ 
D)  $(\infty,-7.5] \cup(-0.1, \infty)$

Question 9

$\frac{n+8}{12}=\frac{10}{7}$

Accepted Answer

A)  $\{16\}$ 
B)  $\left\{\frac{176}{7}\right\}$ 
C)  $\{64\}$ 
D)  $\left\{\frac{64}{7}\right\}$ 
A)  $\{16\}$ 
B)  $\left\{\frac{176}{7}\right\}$ 
C)  $\{64\}$ 
D)  $\left\{\frac{64}{7}\right\}$

Question 10

$|6 x+2|+6=9$

Accepted Answer

A)  $\left\{-\frac{1}{6}, \frac{5}{6}\right\}$ 
B)  $\left\{\frac{1}{6},-\frac{5}{6}\right\}$ 
C)  $\left\{\frac{1}{2},-\frac{5}{2}\right\}$ 
D)  $\varnothing$ 
A)  $\left\{-\frac{1}{6}, \frac{5}{6}\right\}$ 
B)  $\left\{\frac{1}{6},-\frac{5}{6}\right\}$ 
C)  $\left\{\frac{1}{2},-\frac{5}{2}\right\}$ 
D)  $\varnothing$

Question 11

Graph the solution on a number line, and express it in interval notation.
-$16<4 \mathrm{x} \leq 20$

Accepted Answer

A)  $-4 \leq x < 5,[-4,5)$
  
B)  $-4< x \leq 5,(-4,5]$
  
C)  $4< x \leq 5$, $(4,5]$
  
D)  $4 \leq x<5,[4,5)$
  
A)  $-4 \leq x < 5,[-4,5)$
  
B)  $-4< x \leq 5,(-4,5]$
  
C)  $4< x \leq 5$, $(4,5]$
  
D)  $4 \leq x<5,[4,5)$

Question 12

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary
-$49 \mathrm{~g}$ to oz

Accepted Answer

A)  $1.7 \mathrm{oz}$ 
B)  $107.9 \mathrm{oz}$ or $107.8 \mathrm{oz}$ 
C)  $22.2 \mathrm{oz}$ 
D)  $1400 \mathrm{oz}$ or $1389.2 \mathrm{oz}$ 
A)  $1.7 \mathrm{oz}$ 
B)  $107.9 \mathrm{oz}$ or $107.8 \mathrm{oz}$ 
C)  $22.2 \mathrm{oz}$ 
D)  $1400 \mathrm{oz}$ or $1389.2 \mathrm{oz}$

Question 13

If 3 is added to a number and the sum is doubled, the result is 11 less than the number. Find the number.

Accepted Answer

A)  5 
B)  -5 
C)  8 
D)  -17 
A)  5 
B)  -5 
C)  8 
D)  -17

Question 14

Classify the absolute value inequality as
· Having a single interval containing its solutions, but not the entire set of real numbers
· Having the union of two disjoint intervals containing its solutions
· Being a contradiction with no solution
· Being an identity with the set of all real numbers as its solution set
-$|4 \mathrm{x}-1|-8 \leq 3$

Accepted Answer

A)  identity 
B)  union of two intervals 
C)  single interval 
D)  contradiction 
A)  identity 
B)  union of two intervals 
C)  single interval 
D)  contradiction

Question 15

Graph the solution on a number line, and express it in interval notation.
-$-3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4$

Accepted Answer

A)  $ -12 \leq x \leq 2,[-12,2] $
  
B)  $ -12< x<2 $, $ (-12,2) $
  
C)  $ -6< x<1 $, $ (-6,1) $
  
D)  $ -6 \leq x \leq 1,[-6,1] $
  
A)  $ -12 \leq x \leq 2,[-12,2] $
  
B)  $ -12< x<2 $, $ (-12,2) $
  
C)  $ -6< x<1 $, $ (-6,1) $
  
D)  $ -6 \leq x \leq 1,[-6,1] $

Question 16

Classify the absolute value equation as being a contradiction with no solution or as having two solutions.
-$|5 \mathrm{x}-1|-11=-4$

Accepted Answer

A)  Contradiction 
B)  Two solutions 
A)  Contradiction 
B)  Two solutions

Question 17

$5(2 z-5)=9(z+5)$

Accepted Answer

A)  $\{20\}$ 
B)  $\{20\}$. 
C)  $\{25\}$ 
D)  $\{70\}$ 
A)  $\{20\}$ 
B)  $\{20\}$. 
C)  $\{25\}$ 
D)  $\{70\}$

Question 18

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary
-$27 \mathrm{in.}$ to $\mathrm{cm}$

Accepted Answer

A)  $8.2 \mathrm{~cm}$ 
B)  $88.6 \mathrm{~cm}$ 
C)  $10.6 \mathrm{~cm}$ or $10.5 \mathrm{~cm}$ 
D)  $68.6 \mathrm{~cm}$ or $69.2 \mathrm{~cm}$ 
A)  $8.2 \mathrm{~cm}$ 
B)  $88.6 \mathrm{~cm}$ 
C)  $10.6 \mathrm{~cm}$ or $10.5 \mathrm{~cm}$ 
D)  $68.6 \mathrm{~cm}$ or $69.2 \mathrm{~cm}$

Question 19

Evaluate the algebraic expression under the given conditions
-$6(x+h)+7$ for $x=6$ and $h=0.001$

Accepted Answer

A)  42.994 
B)  29.006 
C)  43.006 
D)  43.001 
A)  42.994 
B)  29.006 
C)  43.006 
D)  43.001

Question 20

Simplify, where possible
-$3 x-y-9(4 x-8 y)$

Accepted Answer

A)  $-33 x-73 y$ 
B)  $-33 x-9 y$ 
C)  $-33 x+7 y$ 
D)  $-33 x+71 y$ 
A)  $-33 x-73 y$ 
B)  $-33 x-9 y$ 
C)  $-33 x+7 y$ 
D)  $-33 x+71 y$

Simplify, where possible - $10 x-6 x$

Write an inequality associated with the given interval notation - $(-\infty, 16)$

Simplify, where possible - $6 a-4 b+2$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x+3|-2>0$

The sum of the measures of the angles of any triangle is $180^{\circ}$ . In triangle $A B C$ , angles $A$ and $B$ have the same measure, while the measure of angle $\mathrm{C}$ is $60^{\circ}$ larger than each of $\mathrm{A}$ and $\mathrm{B}$ . What are the measures of the three angles?

Graph the inequality - $\mathrm{x} \leq 4$

Graph the solution on a number line, and express it in interval notation. - $1 \leq 2 x-3 \leq 9$ $Graph the solution on a number line, and express it in interval notation. - 1 \leq 2 x-3 \leq 9$

Write the inequality in interval notation - $-7.5< x \leq-0.1$

$\frac{n+8}{12}=\frac{10}{7}$

$|6 x+2|+6=9$

Graph the solution on a number line, and express it in interval notation. - $16<4 \mathrm{x} \leq 20$ $Graph the solution on a number line, and express it in interval notation. - 16<4 \mathrm{x} \leq 20$

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $49 \mathrm{~g}$ to oz

If 3 is added to a number and the sum is doubled, the result is 11 less than the number. Find the number.

Graph the solution on a number line, and express it in interval notation. - $-3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4$ $Graph the solution on a number line, and express it in interval notation. - -3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4$

Classify the absolute value equation as being a contradiction with no solution or as having two solutions. - $|5 \mathrm{x}-1|-11=-4$

$5(2 z-5)=9(z+5)$

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $27 \mathrm{in.}$ to $\mathrm{cm}$

Evaluate the algebraic expression under the given conditions - $6(x+h)+7$ for $x=6$ and $h=0.001$

Simplify, where possible - $3 x-y-9(4 x-8 y)$

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

Simplify, where possible - 10x−6x10 x-6 x10x−6x

Write an inequality associated with the given interval notation - (−∞,16)(-\infty, 16)(−∞,16)

Simplify, where possible - 6a−4b+26 a-4 b+26a−4b+2

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣8x+3∣−2>0|8 x+3|-2>0∣8x+3∣−2>0

Graph the inequality - x≤4\mathrm{x} \leq 4x≤4

Graph the solution on a number line, and express it in interval notation. - 1≤2x−3≤91 \leq 2 x-3 \leq 91≤2x−3≤9

Write the inequality in interval notation - −7.5<x≤−0.1-7.5< x \leq-0.1−7.5<x≤−0.1

n+812=107\frac{n+8}{12}=\frac{10}{7}12n+8​=710​

∣6x+2∣+6=9|6 x+2|+6=9∣6x+2∣+6=9

Graph the solution on a number line, and express it in interval notation. - 16<4x≤2016<4 \mathrm{x} \leq 2016<4x≤20

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - 49 g49 \mathrm{~g}49 g to oz

If 3 is added to a number and the sum is doubled, the result is 11 less than the number. Find the number.

Graph the solution on a number line, and express it in interval notation. - −3≤3+12x≤4-3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4−3≤3+21​x≤4

Classify the absolute value equation as being a contradiction with no solution or as having two solutions. - ∣5x−1∣−11=−4|5 \mathrm{x}-1|-11=-4∣5x−1∣−11=−4

5(2z−5)=9(z+5)5(2 z-5)=9(z+5)5(2z−5)=9(z+5)

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - 27in.27 \mathrm{in.}27in. to cm\mathrm{cm}cm

Evaluate the algebraic expression under the given conditions - 6(x+h)+76(x+h)+76(x+h)+7 for x=6x=6x=6 and h=0.001h=0.001h=0.001

Simplify, where possible - 3x−y−9(4x−8y)3 x-y-9(4 x-8 y)3x−y−9(4x−8y)

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

Simplify, where possible - $10 x-6 x$

Write an inequality associated with the given interval notation - $(-\infty, 16)$

Simplify, where possible - $6 a-4 b+2$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|8 x+3|-2>0$

Graph the inequality - $\mathrm{x} \leq 4$

Graph the solution on a number line, and express it in interval notation. - $1 \leq 2 x-3 \leq 9$ $Graph the solution on a number line, and express it in interval notation. - 1 \leq 2 x-3 \leq 9$

Write the inequality in interval notation - $-7.5< x \leq-0.1$

$\frac{n+8}{12}=\frac{10}{7}$

$|6 x+2|+6=9$

Graph the solution on a number line, and express it in interval notation. - $16<4 \mathrm{x} \leq 20$ $Graph the solution on a number line, and express it in interval notation. - 16<4 \mathrm{x} \leq 20$

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $49 \mathrm{~g}$ to oz

Graph the solution on a number line, and express it in interval notation. - $-3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4$ $Graph the solution on a number line, and express it in interval notation. - -3 \leq 3+\frac{1}{2} \mathrm{x} \leq 4$

Classify the absolute value equation as being a contradiction with no solution or as having two solutions. - $|5 \mathrm{x}-1|-11=-4$

$5(2 z-5)=9(z+5)$

Convert the given quantity to the desired unit. Round to the nearest tenth if necessary - $27 \mathrm{in.}$ to $\mathrm{cm}$

Evaluate the algebraic expression under the given conditions - $6(x+h)+7$ for $x=6$ and $h=0.001$

Simplify, where possible - $3 x-y-9(4 x-8 y)$