Question 1

The difference between two positive integers is 32 . One integer is three times as great as the other. Find the integers.

Accepted Answer

A)  16 and 48 
B)  48 and 80 
C)  32 and 48 
D)  16 and 32 
A)  16 and 48 
B)  48 and 80 
C)  32 and 48 
D)  16 and 32

Question 2

The sum of twice a number and 17 less than the number is the same as the difference between - 29 and the number. What is the number?

Accepted Answer

A)  -6 
B)  -2 
C)  -3 
D)  - 4 
A)  -6 
B)  -2 
C)  -3 
D)  - 4

Question 3

Evaluate the algebraic expression under the given conditions
-$(\mathrm{x}+\mathrm{h})^{2}-4(\mathrm{x}+\mathrm{h})+8$ for $\mathrm{x}=-2$ and $\mathrm{h}=1$

Accepted Answer

A)  21 
B)  13 
C)  18 
D)  17 
A)  21 
B)  13 
C)  18 
D)  17

Question 4

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation
-$|7-2 x| \leq 9$

Accepted Answer

A)  $[-1,8]$
  
B)  $\varnothing$
  
C)  $(-\infty,-1] \cup[8, \infty)$
  
D)  $[-8,1]$
  
A)  $[-1,8]$
  
B)  $\varnothing$
  
C)  $(-\infty,-1] \cup[8, \infty)$
  
D)  $[-8,1]$

Question 5

$\mathrm{P}=\mathrm{s}_{1}+\mathrm{s}_{2}+\mathrm{s}_{3}$ for $\mathrm{s}_{3}$

Accepted Answer

A)  $\mathrm{s}_{3}=\mathrm{P}+\mathrm{s}_{1}+\mathrm{s}_{2}$ 
B)  $s_{3}=P-s_{1}-s_{2}$ 
C)  $s_{3}=s_{1}+s_{2}-P$ 
D)  $s_{3}=s_{1}+P-s_{2}$ 
A)  $\mathrm{s}_{3}=\mathrm{P}+\mathrm{s}_{1}+\mathrm{s}_{2}$ 
B)  $s_{3}=P-s_{1}-s_{2}$ 
C)  $s_{3}=s_{1}+s_{2}-P$ 
D)  $s_{3}=s_{1}+P-s_{2}$

Question 6

Simplify, where possible
-$9 x-y-2(6 x-5 y+9 z)$

Accepted Answer

A)  $-3 x-11 y+18 z$ 
B)  $-3 x-6 y+9 z$ 
C)  $-3 x+4 y-9 z$ 
D)  $-3 x+9 y-18 z$ 
A)  $-3 x-11 y+18 z$ 
B)  $-3 x-6 y+9 z$ 
C)  $-3 x+4 y-9 z$ 
D)  $-3 x+9 y-18 z$

Question 7

$2 x+2+5 x=8 x+2-x$

Accepted Answer

A)  $\{0\}$ 
B)  $\{7\}$ 
C)  $\left\{\frac{1}{7}\right\}$ 
D)  $R$ 
A)  $\{0\}$ 
B)  $\{7\}$ 
C)  $\left\{\frac{1}{7}\right\}$ 
D)  $R$

Question 8

$5-|5 x-3|=-6$

Accepted Answer

A)  $\left\{-\frac{14}{5}, \frac{8}{5}\right\}$ 
B)  $\left\{\frac{14}{5}\right\}$ 
C)  $\left\{-\frac{8}{5}, \frac{14}{5}\right\}$ 
D)  $\left\{-\frac{8}{5}\right\}$ 
A)  $\left\{-\frac{14}{5}, \frac{8}{5}\right\}$ 
B)  $\left\{\frac{14}{5}\right\}$ 
C)  $\left\{-\frac{8}{5}, \frac{14}{5}\right\}$ 
D)  $\left\{-\frac{8}{5}\right\}$

Question 9

From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 13 miles per hour. In how many hours will they be 46 miles apart?

Accepted Answer

A)  3 hours 
B)  4 hours 
C)  2 hours 
D)  1 hour 
A)  3 hours 
B)  4 hours 
C)  2 hours 
D)  1 hour

Question 10

Evaluate the algebraic expression under the given conditions
-$8-2 y$ for $y=-3$

Accepted Answer

A)  11 
B)  2 
C)  14 
D)  10 
A)  11 
B)  2 
C)  14 
D)  10

Question 11

From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 14 miles per hour. In how many hours will they be 120 miles apart?

Accepted Answer

A)  4 hours 
B)  5 hours 
C)  6 hours 
D)  Not enough information 
A)  4 hours 
B)  5 hours 
C)  6 hours 
D)  Not enough information

Question 12

Graph the inequality
-$\mathrm{x}<-3$ or $\mathrm{x} \geq 7$

Accepted Answer

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

Question 13

Write an inequality associated with the given graph
-

Accepted Answer

A) $x>2$ B) $x<2$ C) $x \leq 2$ D) $x \geq 2$ A) $x>2$ B) $x<2$ C) $x \leq 2$ D) $x \geq 2$

Question 14

Choose the expression that is equivalent to the following: $(8 x+5 y)\left(3 y^{3}\right)$

Accepted Answer

A)  $\left(3 y^{3}\right)(8 x+5 y)$ 
B)  $\left(8 x+3 y^{3}\right)(5 y)$ 
C)  $(8 x)+(5 y)\left(3 y^{3}\right)$ 
D)  $8 x+\left(5 y+3 y^{3}\right)$ 
A)  $\left(3 y^{3}\right)(8 x+5 y)$ 
B)  $\left(8 x+3 y^{3}\right)(5 y)$ 
C)  $(8 x)+(5 y)\left(3 y^{3}\right)$ 
D)  $8 x+\left(5 y+3 y^{3}\right)$

Question 15

Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 15 shares of the more valuable stock and 33 shares of the other stock. His total assets in stocks is $\$ 1890$. How much is the more expensive stock worth per share?

Accepted Answer

A)  $\$ 60$ per share 
B)  $\$ 66$ per share 
C)  $\$ 64$ per share 
D)  $\$ 58$ per share 
A)  $\$ 60$ per share 
B)  $\$ 66$ per share 
C)  $\$ 64$ per share 
D)  $\$ 58$ per share

Question 16

The sum of twice a number and 8 less than the number is the same as the difference between - 16 and the number. What is the number?

Accepted Answer

A)  -1 
B)  -4 
C)  -2 
D)  -3 
A)  -1 
B)  -4 
C)  -2 
D)  -3

Question 17

The sum of two consecutive even integers is 74 . Find the larger number.

Accepted Answer

A)  32 
B)  46 
C)  34 
D)  38 
A)  32 
B)  46 
C)  34 
D)  38

Question 18

Graph the solution on a number line, and express it in interval notation.
-$\frac{x}{5} \geq 4$

Accepted Answer

A) $\mathrm{x} \leq 20,(\infty, 20$ ] B) $x>20,(20, \infty)$ C) $\mathrm{x}<20,(\infty, 20)$ D) $\mathrm{x} \geq 20,[20, \infty)$ A) $\mathrm{x} \leq 20,(\infty, 20$ ] B) $x>20,(20, \infty)$ C) $\mathrm{x}<20,(\infty, 20)$ D) $\mathrm{x} \geq 20,[20, \infty)$

Question 19

$|2 \mathrm{x}+7|-2=2$

Accepted Answer

A)  $\left\{-\frac{11}{2},-\frac{3}{2}\right\}$ 
B)  $\left\{-\frac{11}{2}\right\}$ 
C)  $\left\{-\frac{3}{2}\right\}$ 
D)  $\varnothing$ 
A)  $\left\{-\frac{11}{2},-\frac{3}{2}\right\}$ 
B)  $\left\{-\frac{11}{2}\right\}$ 
C)  $\left\{-\frac{3}{2}\right\}$ 
D)  $\varnothing$

Question 20

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

Accepted Answer

A)  - 80 
B)  - 86 
C)  -76 
D)  - 90 
A)  - 80 
B)  - 86 
C)  -76 
D)  - 90

The difference between two positive integers is 32 . One integer is three times as great as the other. Find the integers.

The sum of twice a number and 17 less than the number is the same as the difference between - 29 and the number. What is the number?

Evaluate the algebraic expression under the given conditions - $(\mathrm{x}+\mathrm{h})^{2}-4(\mathrm{x}+\mathrm{h})+8$ for $\mathrm{x}=-2$ and $\mathrm{h}=1$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|7-2 x| \leq 9$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |7-2 x| \leq 9$

$\mathrm{P}=\mathrm{s}_{1}+\mathrm{s}_{2}+\mathrm{s}_{3}$ for $\mathrm{s}_{3}$

Simplify, where possible - $9 x-y-2(6 x-5 y+9 z)$

$2 x+2+5 x=8 x+2-x$

$5-|5 x-3|=-6$

From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 13 miles per hour. In how many hours will they be 46 miles apart?

Evaluate the algebraic expression under the given conditions - $8-2 y$ for $y=-3$

From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 14 miles per hour. In how many hours will they be 120 miles apart?

Graph the inequality - $\mathrm{x}<-3$ or $\mathrm{x} \geq 7$ $Graph the inequality - \mathrm{x}<-3 or \mathrm{x} \geq 7$

Write an inequality associated with the given graph -

Choose the expression that is equivalent to the following: $(8 x+5 y)\left(3 y^{3}\right)$

Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 15 shares of the more valuable stock and 33 shares of the other stock. His total assets in stocks is $\$ 1890$ . How much is the more expensive stock worth per share?

The sum of twice a number and 8 less than the number is the same as the difference between - 16 and the number. What is the number?

The sum of two consecutive even integers is 74 . Find the larger number.

Graph the solution on a number line, and express it in interval notation. - $\frac{x}{5} \geq 4$ $Graph the solution on a number line, and express it in interval notation. - \frac{x}{5} \geq 4$

$|2 \mathrm{x}+7|-2=2$

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

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

The difference between two positive integers is 32 . One integer is three times as great as the other. Find the integers.

The sum of twice a number and 17 less than the number is the same as the difference between - 29 and the number. What is the number?

Evaluate the algebraic expression under the given conditions - (x+h)2−4(x+h)+8(\mathrm{x}+\mathrm{h})^{2}-4(\mathrm{x}+\mathrm{h})+8(x+h)2−4(x+h)+8 for x=−2\mathrm{x}=-2x=−2 and h=1\mathrm{h}=1h=1

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - ∣7−2x∣≤9|7-2 x| \leq 9∣7−2x∣≤9

P=s1+s2+s3\mathrm{P}=\mathrm{s}_{1}+\mathrm{s}_{2}+\mathrm{s}_{3}P=s1​+s2​+s3​ for s3\mathrm{s}_{3}s3​

Simplify, where possible - 9x−y−2(6x−5y+9z)9 x-y-2(6 x-5 y+9 z)9x−y−2(6x−5y+9z)

2x+2+5x=8x+2−x2 x+2+5 x=8 x+2-x2x+2+5x=8x+2−x

5−∣5x−3∣=−65-|5 x-3|=-65−∣5x−3∣=−6

From a point on a river, two boats are driven in opposite directions, one at 10 miles per hour and the other at 13 miles per hour. In how many hours will they be 46 miles apart?

Evaluate the algebraic expression under the given conditions - 8−2y8-2 y8−2y for y=−3y=-3y=−3

From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10 miles per hour and Fred rides 14 miles per hour. In how many hours will they be 120 miles apart?

Graph the inequality - x<−3\mathrm{x}<-3x<−3 or x≥7\mathrm{x} \geq 7x≥7

Write an inequality associated with the given graph -

Choose the expression that is equivalent to the following: (8x+5y)(3y3)(8 x+5 y)\left(3 y^{3}\right)(8x+5y)(3y3)

Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 15 shares of the more valuable stock and 33 shares of the other stock. His total assets in stocks is $1890\$ 1890$1890 . How much is the more expensive stock worth per share?

The sum of twice a number and 8 less than the number is the same as the difference between - 16 and the number. What is the number?

The sum of two consecutive even integers is 74 . Find the larger number.

Graph the solution on a number line, and express it in interval notation. - x5≥4\frac{x}{5} \geq 45x​≥4

∣2x+7∣−2=2|2 \mathrm{x}+7|-2=2∣2x+7∣−2=2

Evaluate the algebraic expression under the given conditions - b2b^{2}b2 - 4ac for b=−4,a=4,c=6b=-4, a=4, c=6b=−4,a=4,c=6

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

Evaluate the algebraic expression under the given conditions - $(\mathrm{x}+\mathrm{h})^{2}-4(\mathrm{x}+\mathrm{h})+8$ for $\mathrm{x}=-2$ and $\mathrm{h}=1$

Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - $|7-2 x| \leq 9$ $Solve the inequality. Graph your solution on a number line, and write your solution in interval notation - |7-2 x| \leq 9$

$\mathrm{P}=\mathrm{s}_{1}+\mathrm{s}_{2}+\mathrm{s}_{3}$ for $\mathrm{s}_{3}$

Simplify, where possible - $9 x-y-2(6 x-5 y+9 z)$

$2 x+2+5 x=8 x+2-x$

$5-|5 x-3|=-6$

Evaluate the algebraic expression under the given conditions - $8-2 y$ for $y=-3$

Graph the inequality - $\mathrm{x}<-3$ or $\mathrm{x} \geq 7$ $Graph the inequality - \mathrm{x}<-3 or \mathrm{x} \geq 7$

Choose the expression that is equivalent to the following: $(8 x+5 y)\left(3 y^{3}\right)$

Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 15 shares of the more valuable stock and 33 shares of the other stock. His total assets in stocks is $\$ 1890$ . How much is the more expensive stock worth per share?

Graph the solution on a number line, and express it in interval notation. - $\frac{x}{5} \geq 4$ $Graph the solution on a number line, and express it in interval notation. - \frac{x}{5} \geq 4$

$|2 \mathrm{x}+7|-2=2$

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