Question 1

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--4w - 12 + 5w = 1

Accepted Answer

A)  -13 
B)  -11 
C)  13 
D)  11 
A)  -13 
B)  -11 
C)  13 
D)  11 C

Question 2

Simplify the expression. First use the distributive property to remove any parentheses.
--3(6x + 5)

Accepted Answer

A)  3x + 2 
B)  -33x 
C)  -18x + 5 
D)  -18x - 15 
A)  3x + 2 
B)  -33x 
C)  -18x + 5 
D)  -18x - 15 D

Question 3

Solve the inequality. Graph the solution set and write it in interval notation.
-$24 x - 8 \leq 4 ( 5 x + 3 )$

Accepted Answer

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

Question 4

Solve.
-In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum Is 57 and the U.S. won more than China who won more than Romania, how many medals did each Team win?

Accepted Answer

A)  U.S.: 18 medals; China: 17 medals; Romania: 16 medals 
B)  U.S.: 59 medals; China: 58 medals; Romania: 57 medals 
C)  U.S.: 20 medals; China: 19 medals; Romania: 18 medals 
D)  U.S.: 21 medals; China: 20 medals; Romania: 19 medals 
A)  U.S.: 18 medals; China: 17 medals; Romania: 16 medals 
B)  U.S.: 59 medals; China: 58 medals; Romania: 57 medals 
C)  U.S.: 20 medals; China: 19 medals; Romania: 18 medals 
D)  U.S.: 21 medals; China: 20 medals; Romania: 19 medals

Question 5

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Because of budget cutbacks, MaryAnn was required to take a 7% pay cut. If she earned $63,000 before the pay cut, find her salary after the pay cut.

Accepted Answer

A)  $58,590 
B)  $5859 
C)  $62,559 
D)  $62,955.90 
A)  $58,590 
B)  $5859 
C)  $62,559 
D)  $62,955.90

Question 6

Solve.
-An archer has $\$ 149$ to spend on a new archery set. A certain set containing a bow and three arrows costs $\$ 69$. With the purchase of this set, he can purchase additional arrows for $\$ 4$ per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $\$ 149$.

Accepted Answer

A)  at most $\frac { 149 } { 69 }$ arrows 
B)  at most 23 arrows 
C)  at most 20 arrows 
D)  at most $\frac { 149 } { 4 }$ arrows 
A)  at most $\frac { 149 } { 69 }$ arrows 
B)  at most 23 arrows 
C)  at most 20 arrows 
D)  at most $\frac { 149 } { 4 }$ arrows

Question 7

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-4n - 3n + 6 = 6

Accepted Answer

A)  0 
B)  12 
C)  6 
D)  -6 
A)  0 
B)  12 
C)  6 
D)  -6

Question 8

Solve the equation.
-$6 ( 3 x - 1 ) = 24$

Accepted Answer

A)  $\frac { 23 } { 18 }$ 
B)  $\frac { 25 } { 18 }$ 
C)  1 
D)  $\frac { 5 } { 3 }$ 
A)  $\frac { 23 } { 18 }$ 
B)  $\frac { 25 } { 18 }$ 
C)  1 
D)  $\frac { 5 } { 3 }$

Question 9

Write the algebraic expression described.
-To convert from meters to centimeters, we multiply by 100. For example, the number of centimeters in 3 meters is 100 · 3 = 300. If one piece of string has a length of x - 9 meters, and another piece of
String has a length of 8x + 7 centimeters, express their total length in centimeters as an algebraic
Expression.

Accepted Answer

A)  (900x - 200) cm 
B)  (9x - 2) cm 
C)  (108x - 893) cm 
D)  (801x + 691) cm 
A)  (900x - 200) cm 
B)  (9x - 2) cm 
C)  (108x - 893) cm 
D)  (801x + 691) cm

Question 10

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
-One-half a number, minus ten, plus five times the number

Accepted Answer

A)  $\frac { 1 } { 2 } x - 10 + 5 x$ 
B)  $\frac { 11 } { 2 } x - 10$ 
C)  $\frac { 11 } { 2 } x - 5$ 
D)  $\frac { 1 } { 2 } x - 5$ 
A)  $\frac { 1 } { 2 } x - 10 + 5 x$ 
B)  $\frac { 11 } { 2 } x - 10$ 
C)  $\frac { 11 } { 2 } x - 5$ 
D)  $\frac { 1 } { 2 } x - 5$

Question 11

Solve.
-Two angles are complementary if their sum is $90 ^ { \circ }$. If the measure of the first angle is $x ^ { \circ }$, and the measure of the second angle is $( 3 x - 2 ) ^ { \circ }$, find the measure of each angle.

Accepted Answer

A)  1 st angle $= 22 ^ { \circ } ; 2$ nd angle $= 68 ^ { \circ }$ 
B)  1 st angle $= 23 ^ { \circ } ; 2$ nd angle $= 67 ^ { \circ }$ 
C)  1 st angle $= 22 ^ { \circ }$; 2nd angle $= 64 ^ { \circ }$ 
D)  1 st angle $= 31 ^ { \circ } ;$ 2nd angle $= 59 ^ { \circ }$ 
A)  1 st angle $= 22 ^ { \circ } ; 2$ nd angle $= 68 ^ { \circ }$ 
B)  1 st angle $= 23 ^ { \circ } ; 2$ nd angle $= 67 ^ { \circ }$ 
C)  1 st angle $= 22 ^ { \circ }$; 2nd angle $= 64 ^ { \circ }$ 
D)  1 st angle $= 31 ^ { \circ } ;$ 2nd angle $= 59 ^ { \circ }$

Question 12

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
-The difference of fifteen and a number, divided by five

Accepted Answer

A)  $\frac { 15 - x } { 5 }$ 
B)  $15 - \frac { x } { 5 }$ 
C)  $\frac { x - 15 } { 5 }$ 
D)  $\frac { x } { 5 } - 15$ 
A)  $\frac { 15 - x } { 5 }$ 
B)  $15 - \frac { x } { 5 }$ 
C)  $\frac { x - 15 } { 5 }$ 
D)  $\frac { x } { 5 } - 15$

Question 13

Simplify the expression.
-$6 x + 10 - 4 x + 9$

Accepted Answer

A)  $21 \mathrm { x }$ 
B)  $2 x + 1$ 
C)  $2 x + 19$ 
D)  $10 x + 19$ 
A)  $21 \mathrm { x }$ 
B)  $2 x + 1$ 
C)  $2 x + 19$ 
D)  $10 x + 19$

Question 14

Simplify the expression. First use the distributive property to remove any parentheses.
-$- \frac { 4 } { 7 } ( z - 14 ) - \frac { 1 } { 14 } z$

Accepted Answer

A)  $\frac { 9 } { 14 } z + 8$ 
B)  $- \frac { 9 } { 14 } z + 8$ 
C)  $\frac { 9 } { 14 } z - 8$ 
D)  $\frac { 1 } { 2 } \mathrm { z } + 14$ 
A)  $\frac { 9 } { 14 } z + 8$ 
B)  $- \frac { 9 } { 14 } z + 8$ 
C)  $\frac { 9 } { 14 } z - 8$ 
D)  $\frac { 1 } { 2 } \mathrm { z } + 14$

Question 15

Solve.
-A motorcycle traveling at 50 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles?

Accepted Answer

A)  $56 \frac { 1 } { 4 } \mathrm { mi }$ 
B)  $4 \frac { 1 } { 2 } \mathrm { mi }$ 
C)  $7 \frac { 1 } { 2 } \mathrm { mi }$ 
D)  $225 \mathrm { mi }$ 
A)  $56 \frac { 1 } { 4 } \mathrm { mi }$ 
B)  $4 \frac { 1 } { 2 } \mathrm { mi }$ 
C)  $7 \frac { 1 } { 2 } \mathrm { mi }$ 
D)  $225 \mathrm { mi }$

Question 16

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 17 \leq - 2 x - 5 \leq - 11$

Accepted Answer

A)  $[ 3,6 ]$
  
B) $( - 6 , - 3 )$
  
C) $( 3,6 )$
  
D)  $[ - 6 , - 3 ]$
  
A)  $[ 3,6 ]$
  
B) $( - 6 , - 3 )$
  
C) $( 3,6 )$
  
D)  $[ - 6 , - 3 ]$

Question 17

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-5% of students at a university attended a lecture. If 6000 students are enrolled at the university, about how many students attended the lecture?

Accepted Answer

A)  300 students 
B)  3000 students 
C)  30 students 
D)  30,000 students 
A)  300 students 
B)  3000 students 
C)  30 students 
D)  30,000 students

Question 18

Indicate whether the list of terms are like or unlike.
-$- 12 z ^ { 2 } , 2 z$

Accepted Answer

A)  like 
B)  unlike 
A)  like 
B)  unlike

Question 19

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to
answer the question.  
-What percent of college students consume 5-6 pizzas in a typical month?

Accepted Answer

A)  $18 \%$ 
B)  $5 \%$ 
C)  $41 \%$ 
D)  $34 \%$ 
A)  $18 \%$ 
B)  $5 \%$ 
C)  $41 \%$ 
D)  $34 \%$

Question 20

Write the following as an algebraic expression. Simplify if possible.
-Add 8x + 9 to 4x - 2.

Accepted Answer

A)  12x + 7 
B)  4x + 7 
C)  12x - 11 
D)  12x + 11 
A)  12x + 7 
B)  4x + 7 
C)  12x - 11 
D)  12x + 11

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --4w - 12 + 5w = 1

Simplify the expression. First use the distributive property to remove any parentheses. --3(6x + 5)

Solve the inequality. Graph the solution set and write it in interval notation. - $24 x - 8 \leq 4 ( 5 x + 3 )$ $Solve the inequality. Graph the solution set and write it in interval notation. - 24 x - 8 \leq 4 ( 5 x + 3 )$

Solve. -In a recent International Gymnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won by each team are three consecutive integers whose sum Is 57 and the U.S. won more than China who won more than Romania, how many medals did each Team win?

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Because of budget cutbacks, MaryAnn was required to take a 7% pay cut. If she earned $63,000 before the pay cut, find her salary after the pay cut.

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -4n - 3n + 6 = 6

Solve the equation. - $6 ( 3 x - 1 ) = 24$

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -One-half a number, minus ten, plus five times the number

Solve. -Two angles are complementary if their sum is $90 ^ { \circ }$ . If the measure of the first angle is $x ^ { \circ }$ , and the measure of the second angle is $( 3 x - 2 ) ^ { \circ }$ , find the measure of each angle.

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -The difference of fifteen and a number, divided by five

Simplify the expression. - $6 x + 10 - 4 x + 9$

Simplify the expression. First use the distributive property to remove any parentheses. - $- \frac { 4 } { 7 } ( z - 14 ) - \frac { 1 } { 14 } z$

Solve. -A motorcycle traveling at 50 miles per hour overtakes a car traveling at 30 miles per hour that had a three-hour head start. How far from the starting point are the two vehicles?

Solve the inequality. Graph the solution set and write it in interval notation. - $- 17 \leq - 2 x - 5 \leq - 11$ $Solve the inequality. Graph the solution set and write it in interval notation. - - 17 \leq - 2 x - 5 \leq - 11$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -5% of students at a university attended a lecture. If 6000 students are enrolled at the university, about how many students attended the lecture?

Indicate whether the list of terms are like or unlike. - $- 12 z ^ { 2 } , 2 z$

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to answer the question. -What percent of college students consume 5-6 pizzas in a typical month?

Write the following as an algebraic expression. Simplify if possible. -Add 8x + 9 to 4x - 2.

Review of Real Numbers

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 2: Equations, Inequalities, and Problem Solving