Question 1

$x=\frac{w+y+z}{7}$ for $y$

Accepted Answer

A)  $y=7 x+w+z$ 
B)  $y=7 x-w-z$ 
C)  $y=x-w-z-7$ 
D)  $y=7 x-7 w-7 z$ 
A)  $y=7 x+w+z$ 
B)  $y=7 x-w-z$ 
C)  $y=x-w-z-7$ 
D)  $y=7 x-7 w-7 z$

Question 2

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|x+1|-5 \geq 19$

Accepted Answer

A)  $ [-25,23] $
  
B)  $ (-\infty,-25] \cup[23, \infty) $
  
C)  $ [-13,25] $
  
D)  $ (-\infty,-25] \cup[13, \infty) $
  
A)  $ [-25,23] $
  
B)  $ (-\infty,-25] \cup[23, \infty) $
  
C)  $ [-13,25] $
  
D)  $ (-\infty,-25] \cup[13, \infty) $

Question 3

Choose the expression that is equivalent to the following: $(5 x+4 y)(8 y+4 x)$

Accepted Answer

A)  $9 x+12 y$ 
B)  $(5 x+4 x)(4 y+8 y)$ 
C)  $(5 x+4 y)(4 x+8 y)$ 
D)  $(5 x+4 y)(4 y+8 x)$ 
A)  $9 x+12 y$ 
B)  $(5 x+4 x)(4 y+8 y)$ 
C)  $(5 x+4 y)(4 x+8 y)$ 
D)  $(5 x+4 y)(4 y+8 x)$

Question 4

Write the inequality in interval notation
-$\mathrm{x}\frac{3}{2}$

Accepted Answer

A)  $\left[\frac{1}{4}, \frac{3}{2}\right]$ 
B)  $\left(\frac{1}{4}, \frac{3}{2}\right)$ 
C)  $\left(-\infty, \frac{1}{4}\right) \cup\left(\frac{3}{2}, \infty\right)$ 
D)  $\left(-\infty, \frac{3}{2}\right) \cup\left(\frac{1}{4}, \infty\right)$ 
A)  $\left[\frac{1}{4}, \frac{3}{2}\right]$ 
B)  $\left(\frac{1}{4}, \frac{3}{2}\right)$ 
C)  $\left(-\infty, \frac{1}{4}\right) \cup\left(\frac{3}{2}, \infty\right)$ 
D)  $\left(-\infty, \frac{3}{2}\right) \cup\left(\frac{1}{4}, \infty\right)$

Question 5

Rewrite the expression $(7+4 a)+8 b$ by applying the associative property. If the associative property does not apply, state this.

Accepted Answer

A)  $8 \mathrm{~b}+(7+4 \mathrm{a})$ 
B)  $7+(4 a+8 b)$ 
C)  $(4 a+7)+8 b$ 
D)  Associative property does not apply 
A)  $8 \mathrm{~b}+(7+4 \mathrm{a})$ 
B)  $7+(4 a+8 b)$ 
C)  $(4 a+7)+8 b$ 
D)  Associative property does not apply

Question 6

Evaluate the algebraic expression under the given conditions
-$y^{2}-5 y-12$ for $y=2$

Accepted Answer

A)  -14 
B)  2 
C)  -30 
D)  - 18 
A)  -14 
B)  2 
C)  -30 
D)  - 18

Question 7

What property of real numbers is illustrated by the following statement: $(3+2 \mathrm{a})+4 \mathrm{~b}=4 \mathrm{~b}+(3+2 \mathrm{a})$

Accepted Answer

A)  associative property of addition 
B)  commutative property of multiplication 
C)  distributive property 
D)  commutative property of addition 
A)  associative property of addition 
B)  commutative property of multiplication 
C)  distributive property 
D)  commutative property of addition

Question 8

Find the measure of an angle such that the sum of the measures of its complement and its supplement is $174^{\circ}$.

Accepted Answer

A)  $6^{\circ}$ 
B)  $3^{\circ}$ 
C)  $43^{\circ}$ 
D)  $48^{\circ}$ 
A)  $6^{\circ}$ 
B)  $3^{\circ}$ 
C)  $43^{\circ}$ 
D)  $48^{\circ}$

Question 9

Write the inequality in interval notation
-$-9< x<9$

Accepted Answer

A)  $[-9,9]$ 
B)  $(-9,9)$ 
C)  $(-9,9]$ 
D)  $(-\infty, 9)$ 
A)  $[-9,9]$ 
B)  $(-9,9)$ 
C)  $(-9,9]$ 
D)  $(-\infty, 9)$

Question 10

$|5-\mathrm{x}|=2$

Accepted Answer

A)  $\{3,7\}$ 
B)  $\{3\}$ 
C)  $\{3,-7\}$ 
D)  $\{7\}$ 
A)  $\{3,7\}$ 
B)  $\{3\}$ 
C)  $\{3,-7\}$ 
D)  $\{7\}$

Question 11

Simplify, where possible
-$-3(2 m-5)-4(2 m+3)$

Accepted Answer

A)  $-14 m-3$ 
B)  $-14 \mathrm{~m}-2$ 
C)  $4 \mathrm{~m}+3$ 
D)  $-14 m+3$ 
A)  $-14 m-3$ 
B)  $-14 \mathrm{~m}-2$ 
C)  $4 \mathrm{~m}+3$ 
D)  $-14 m+3$

Question 12

$-7 t+2=-4-9 t$

Accepted Answer

A)  $\left\{-\frac{1}{3}\right\}$ 
B)  $\left\{\frac{1}{3}\right\}$ 
C)  $\{-3\}$ 
D)  $\{8\}$ 
A)  $\left\{-\frac{1}{3}\right\}$ 
B)  $\left\{\frac{1}{3}\right\}$ 
C)  $\{-3\}$ 
D)  $\{8\}$

Question 13

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied.
-$6 \mathrm{x}-7$ is less than $\varepsilon$ away from 5 whenever $\mathrm{x}$ is less than $\delta$ away from 2.

Accepted Answer

A)  $\delta=\frac{\varepsilon}{6}$ 
B)  $\delta=\frac{\varepsilon}{8}$ 
C)  $\delta=\frac{\varepsilon}{4}$ 
D)  $\delta=\frac{\varepsilon}{7}$ 
A)  $\delta=\frac{\varepsilon}{6}$ 
B)  $\delta=\frac{\varepsilon}{8}$ 
C)  $\delta=\frac{\varepsilon}{4}$ 
D)  $\delta=\frac{\varepsilon}{7}$

Question 14

$\frac{2 \mathrm{n}-3}{4}=\frac{6 \mathrm{n}+4}{5}$

Accepted Answer

A)  $\left\{-\frac{1}{14}\right\}$ 
B)  $\left\{\frac{31}{34}\right\}$ 
C)  $\left\{\frac{1}{34}\right\}$ 
D)  $\left\{-\frac{31}{14}\right\}$ 
A)  $\left\{-\frac{1}{14}\right\}$ 
B)  $\left\{\frac{31}{34}\right\}$ 
C)  $\left\{\frac{1}{34}\right\}$ 
D)  $\left\{-\frac{31}{14}\right\}$

Question 15

The sum of three consecutive integers is 387 . Find the integers.

Accepted Answer

A)  $127,129,131$ 
B)  129, 130, 131 
C)  $128,129,130$ 
D)  $127,128,129$ 
A)  $127,129,131$ 
B)  129, 130, 131 
C)  $128,129,130$ 
D)  $127,128,129$

Question 16

Evaluate the algebraic expression under the given conditions
-$(x-3)(3 x-3)$ for $x=-3$

Accepted Answer

A)  51 
B)  -72 
C)  33 
D)  72 
A)  51 
B)  -72 
C)  33 
D)  72

Question 17

A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 21. Find the length of a side.

Accepted Answer

A)  3 
B)  7 
C)  1 
D)  10 
A)  3 
B)  7 
C)  1 
D)  10

Question 18

$A=P(1+n r)$ for $r$

Accepted Answer

A)  $r=\frac{P-A}{P n}$ 
B)  $r=\frac{P n}{A-P}$ 
C)  $r=\frac{A}{n}$ 
D)  $r=\frac{A-P}{P n}$ 
A)  $r=\frac{P-A}{P n}$ 
B)  $r=\frac{P n}{A-P}$ 
C)  $r=\frac{A}{n}$ 
D)  $r=\frac{A-P}{P n}$

Question 19

Jill is 12 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at $1.5 \mathrm{~km} / \mathrm{hr}$. They meet in 3 hours. How fast is Joe walking?

Accepted Answer

A)  2.5 kilometers/hour 
B)  7.5 kilometers/hour 
C)  5.5 kilometers/hour 
D)  2 kilometers/hour 
A)  2.5 kilometers/hour 
B)  7.5 kilometers/hour 
C)  5.5 kilometers/hour 
D)  2 kilometers/hour

Question 20

Simplify, where possible
-7(3y-4z) - y

Accepted Answer

A)  $20 y-4 z$ 
B)  $20 y-28 z$ 
C)  $-4 y-4 z$ 
D)  $22 y-28 z$ 
A)  $20 y-4 z$ 
B)  $20 y-28 z$ 
C)  $-4 y-4 z$ 
D)  $22 y-28 z$

$x=\frac{w+y+z}{7}$ for $y$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|x+1|-5 \geq 19$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |x+1|-5 \geq 19$

Choose the expression that is equivalent to the following: $(5 x+4 y)(8 y+4 x)$

Write the inequality in interval notation - $\mathrm{x}<\frac{1}{4}$ or $\mathrm{x}>\frac{3}{2}$

Rewrite the expression $(7+4 a)+8 b$ by applying the associative property. If the associative property does not apply, state this.

Evaluate the algebraic expression under the given conditions - $y^{2}-5 y-12$ for $y=2$

What property of real numbers is illustrated by the following statement: $(3+2 \mathrm{a})+4 \mathrm{~b}=4 \mathrm{~b}+(3+2 \mathrm{a})$

Find the measure of an angle such that the sum of the measures of its complement and its supplement is $174^{\circ}$ .

Write the inequality in interval notation - $-9< x<9$

$|5-\mathrm{x}|=2$

Simplify, where possible - $-3(2 m-5)-4(2 m+3)$

$-7 t+2=-4-9 t$

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied. - $6 \mathrm{x}-7$ is less than $\varepsilon$ away from 5 whenever $\mathrm{x}$ is less than $\delta$ away from 2.

$\frac{2 \mathrm{n}-3}{4}=\frac{6 \mathrm{n}+4}{5}$

The sum of three consecutive integers is 387 . Find the integers.

Evaluate the algebraic expression under the given conditions - $(x-3)(3 x-3)$ for $x=-3$

A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 21. Find the length of a side.

$A=P(1+n r)$ for $r$

Jill is 12 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at $1.5 \mathrm{~km} / \mathrm{hr}$ . They meet in 3 hours. How fast is Joe walking?

Simplify, where possible -7(3y-4z) - 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

x=w+y+z7x=\frac{w+y+z}{7}x=7w+y+z​ for yyy

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣x+1∣−5≥19|x+1|-5 \geq 19∣x+1∣−5≥19

Choose the expression that is equivalent to the following: (5x+4y)(8y+4x)(5 x+4 y)(8 y+4 x)(5x+4y)(8y+4x)

Write the inequality in interval notation - x<14\mathrm{x}<\frac{1}{4}x<41​ or x>32\mathrm{x}>\frac{3}{2}x>23​

Rewrite the expression (7+4a)+8b(7+4 a)+8 b(7+4a)+8b by applying the associative property. If the associative property does not apply, state this.

Evaluate the algebraic expression under the given conditions - y2−5y−12y^{2}-5 y-12y2−5y−12 for y=2y=2y=2

What property of real numbers is illustrated by the following statement: (3+2a)+4 b=4 b+(3+2a)(3+2 \mathrm{a})+4 \mathrm{~b}=4 \mathrm{~b}+(3+2 \mathrm{a})(3+2a)+4 b=4 b+(3+2a)

Find the measure of an angle such that the sum of the measures of its complement and its supplement is 174∘174^{\circ}174∘ .

Write the inequality in interval notation - −9<x<9-9< x<9−9<x<9

∣5−x∣=2|5-\mathrm{x}|=2∣5−x∣=2

Simplify, where possible - −3(2m−5)−4(2m+3)-3(2 m-5)-4(2 m+3)−3(2m−5)−4(2m+3)

−7t+2=−4−9t-7 t+2=-4-9 t−7t+2=−4−9t

Show that for any positive number ε\varepsilonε we can find a positive number δ\deltaδ such that the statement below is satisfied. - 6x−76 \mathrm{x}-76x−7 is less than ε\varepsilonε away from 5 whenever x\mathrm{x}x is less than δ\deltaδ away from 2.

2n−34=6n+45\frac{2 \mathrm{n}-3}{4}=\frac{6 \mathrm{n}+4}{5}42n−3​=56n+4​

The sum of three consecutive integers is 387 . Find the integers.

Evaluate the algebraic expression under the given conditions - (x−3)(3x−3)(x-3)(3 x-3)(x−3)(3x−3) for x=−3x=-3x=−3

A square plywood platform has a perimeter which is 7 times the length of a side, decreased by 21. Find the length of a side.

A=P(1+nr)A=P(1+n r)A=P(1+nr) for rrr

Jill is 12 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 km/hr1.5 \mathrm{~km} / \mathrm{hr}1.5 km/hr . They meet in 3 hours. How fast is Joe walking?

Simplify, where possible -7(3y-4z) - 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

$x=\frac{w+y+z}{7}$ for $y$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|x+1|-5 \geq 19$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |x+1|-5 \geq 19$

Choose the expression that is equivalent to the following: $(5 x+4 y)(8 y+4 x)$

Write the inequality in interval notation - $\mathrm{x}<\frac{1}{4}$ or $\mathrm{x}>\frac{3}{2}$

Rewrite the expression $(7+4 a)+8 b$ by applying the associative property. If the associative property does not apply, state this.

Evaluate the algebraic expression under the given conditions - $y^{2}-5 y-12$ for $y=2$

What property of real numbers is illustrated by the following statement: $(3+2 \mathrm{a})+4 \mathrm{~b}=4 \mathrm{~b}+(3+2 \mathrm{a})$

Find the measure of an angle such that the sum of the measures of its complement and its supplement is $174^{\circ}$ .

Write the inequality in interval notation - $-9< x<9$

$|5-\mathrm{x}|=2$

Simplify, where possible - $-3(2 m-5)-4(2 m+3)$

$-7 t+2=-4-9 t$

Show that for any positive number $\varepsilon$ we can find a positive number $\delta$ such that the statement below is satisfied. - $6 \mathrm{x}-7$ is less than $\varepsilon$ away from 5 whenever $\mathrm{x}$ is less than $\delta$ away from 2.

$\frac{2 \mathrm{n}-3}{4}=\frac{6 \mathrm{n}+4}{5}$

Evaluate the algebraic expression under the given conditions - $(x-3)(3 x-3)$ for $x=-3$

$A=P(1+n r)$ for $r$

Jill is 12 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at $1.5 \mathrm{~km} / \mathrm{hr}$ . They meet in 3 hours. How fast is Joe walking?