Question 1

Solve the inequality. Graph the solution set and write it in interval notation.
-$x - 6 > 5 x + 6$

Accepted Answer

A)  $( - 3 , \infty )$
 
B) $( 0,3 )$
 
C) $( x , - 3 )$
 
D)  $( 3 , \infty )$

Question 2

Solve. Round all amounts to one decimal place.
-40% of what number is 63?

Accepted Answer

A)  157.5 
B)  1575 
C)  25.2 
D)  15.8

Question 3

Solve.
-Nathan invested his $5000 poker winnings in a 4 year Certificate of Deposit at a rate of 0.04. Use the formula I = Prt to find the amount of interest Nathan's investment will earn.

Accepted Answer

A)  $800 
B)  $5,200 
C)  $200 
D)  $5,800

Question 4

Solve the equation.
-$\frac { 1 } { 7 } \mathrm { a } = 0$

Accepted Answer

A)  7 
B)  $- 7$ 
C)  0 
D)  1

Question 5

Solve.
-During an intramural basketball game, Team A scored 14 fewer points than Team B. Together, both teams scored a total of 146 points. How many points did Team A score during the game?

Accepted Answer

A)  67 points 
B)  80 points 
C)  73 points 
D)  66 points

Question 6

Solve the inequality. Graph the solution set and write it in interval notation.
-$\frac { 1 } { 3 } x \geq 5$

Accepted Answer

A)  $[ 15 , \infty )$
 
B)  $\left( \frac { 5 } { 3 } , \infty \right)$
 
C)  $\left( - \infty , \frac { 3 } { 5 } \right)$
 
D)  $\left( - \infty , \frac { 1 } { 15 } \right]$

Question 7

Solve the equation.
-$0.03 ( 4 x - 3 ) = 0.12 ( x + 7 ) - 0.93$

Accepted Answer

A)  $- 0.09$ 
B)  no solution 
C)  $- 0.93$ 
D)  all real numbers

Question 8

Solve the equation.
-$\frac { 2 ( x - 5 ) } { 3 } = x - 2$

Accepted Answer

A)  8 
B)  $- 4$ 
C)  $- 8$ 
D)  4

Question 9

Write the algebraic expression described. Simplify if possible.
-In the race for Student Body President, Jose received 157 more votes than Angela. If Angela received x votes, how many votes did Jose receive?

Accepted Answer

A)  157x votes 
B)  (x - 157) votes 
C)  (157 - x) votes 
D)  (x + 157) votes

Question 10

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-2(y + 7) = 3(y - 5)

Accepted Answer

A)  1 
B)  -1 
C)  -29 
D)  29

Question 11

Solve.
-A number subtracted from 12 amounts to the quotient of 20 and -2. Find the number.

Accepted Answer

A)  2 
B)  21 
C)  52 
D)  22

Question 12

Solve the equation.
-$\frac { 1 } { 5 } + \mathrm { f } = 9$

Accepted Answer

A)  $\frac { 44 } { 5 }$ 
B)  44 
C)  $\frac { 46 } { 5 }$ 
D)  $\frac { 8 } { 5 }$

Question 13

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-A store is advertising 35% off sale on everything in the store. Find the sale price of a watch that regularly sells for $260.

Accepted Answer

A)  $9.10 
B)  $91.00 
C)  $2509.00 
D)  $169.00

Question 14

Solve the equation.
-$- \frac { 6 } { 7 } m = - \frac { 1 } { 9 }$

Accepted Answer

A)  $- \frac { 7 } { 9 }$ 
B)  $- \frac { 7 } { 54 }$ 
C)  $\frac { 54 } { 7 }$ 
D)  $\frac { 7 } { 54 }$

Question 15

Solve.
-Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has. Together they have 105 foreign coins. Find how many coins Mary has.

Accepted Answer

A)  14 coins 
B)  35 coins 
C)  70 coins 
D)  63 coins

Question 16

Solve.
-The code to unlock a safety deposit box is three consecutive odd integers whose sum is 105. Find the integers.

Accepted Answer

A)  35, 37, 39 
B)  35, 36, 37 
C)  33, 35, 37 
D)  34, 36, 38

Question 17

Write the phrase as a variable expression. Use x for the unknown number.
-The product of -19 and the sum of a number and 32

Accepted Answer

A)  -19(x + 32) 
B)  -19 + 32x 
C)  -19x + 32 
D)  -608x

Question 18

Solve the equation.
-$3 n = 5 ( 5 n + 8 )$

Accepted Answer

A)  $\frac { 40 } { 3 }$ 
B)  $\frac { 20 } { 11 }$ 
C)  $- \frac { 20 } { 11 }$ 
D)  $\frac { 11 } { 20 }$

Question 19

Simplify the expression. First use the distributive property to remove any parentheses.
-(12z + 10) - (3z - 5)

Accepted Answer

A)  9z + 15 
B)  15z + 15 
C)  9z + 5 
D)  9z - 15

Question 20

Fill in the blank with one of the words or phrases listed below.

-A(n) can be written in the form ax + b , ≤, ≥).

Accepted Answer

A)  linear equation in one variable 
B)  linear inequality in one variable 
C)  formula 
D)  numerical coefficient

Exam 2: Equations, Inequalities, and Problem Solving

Solve the inequality. Graph the solution set and write it in interval notation. - $x - 6 > 5 x + 6$ $Solve the inequality. Graph the solution set and write it in interval notation. - x - 6 > 5 x + 6 A) ( - 3 , \infty ) B) ( 0,3 ) C) ( x , - 3 ) D) ( 3 , \infty )$

Solve. Round all amounts to one decimal place. -40% of what number is 63?

Solve. -Nathan invested his $5000 poker winnings in a 4 year Certificate of Deposit at a rate of 0.04. Use the formula I = Prt to find the amount of interest Nathan's investment will earn.

Solve the equation. - $\frac { 1 } { 7 } \mathrm { a } = 0$

Solve. -During an intramural basketball game, Team A scored 14 fewer points than Team B. Together, both teams scored a total of 146 points. How many points did Team A score during the game?

Solve the equation. - $0.03 ( 4 x - 3 ) = 0.12 ( x + 7 ) - 0.93$

Solve the equation. - $\frac { 2 ( x - 5 ) } { 3 } = x - 2$

Write the algebraic expression described. Simplify if possible. -In the race for Student Body President, Jose received 157 more votes than Angela. If Angela received x votes, how many votes did Jose receive?

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -2(y + 7) = 3(y - 5)

Solve. -A number subtracted from 12 amounts to the quotient of 20 and -2. Find the number.

Solve the equation. - $\frac { 1 } { 5 } + \mathrm { f } = 9$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -A store is advertising 35% off sale on everything in the store. Find the sale price of a watch that regularly sells for $260.

Solve the equation. - $- \frac { 6 } { 7 } m = - \frac { 1 } { 9 }$

Solve. -Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has. Together they have 105 foreign coins. Find how many coins Mary has.

Solve. -The code to unlock a safety deposit box is three consecutive odd integers whose sum is 105. Find the integers.

Write the phrase as a variable expression. Use x for the unknown number. -The product of -19 and the sum of a number and 32

Solve the equation. - $3 n = 5 ( 5 n + 8 )$

Simplify the expression. First use the distributive property to remove any parentheses. -(12z + 10) - (3z - 5)

Fill in the blank with one of the words or phrases listed below. -A(n) can be written in the form ax + b < c, (or >, ≤, ≥) .