Question 1

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
--6k + 4 + 7k = 12 - 24

Accepted Answer

A)  40 
B)  16 
C)  -16 
D)  -40 
A)  40 
B)  16 
C)  -16 
D)  -40

Question 2

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

-The of a term is its numerical factor.

Accepted Answer

A)  like terms 
B)  numerical coefficient 
C)  compound inequalities 
D)  formula 
A)  like terms 
B)  numerical coefficient 
C)  compound inequalities 
D)  formula

Question 3

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

-If both sides of an inequality are multiplied by the same negative number, the direction of the inequality symbol is .

Accepted Answer

A)  no solution 
B)  the same 
C)  reversed 
D)  all real numbers 
A)  no solution 
B)  the same 
C)  reversed 
D)  all real numbers

Question 4

Solve the equation.
-$\frac { x } { 13 } - 9 = - 3$

Accepted Answer

A)  78 
B)  80 
C)  $- 78$ 
D)  $- 80$ 
A)  78 
B)  80 
C)  $- 78$ 
D)  $- 80$

Question 5

Solve.
-If two planes leave an airport at the same time with one flying west at 230 miles per hour and the other flying east at 550 miles per hour, how long will it take them to be 2340 miles apart?

Accepted Answer

A)  2.5 hr 
B)  4 hr 
C)  2 hr 
D)  3 hr 
A)  2.5 hr 
B)  4 hr 
C)  2 hr 
D)  3 hr

Question 6

Solve.
-To trim the edges of a rectangular table cloth, 30 feet of lace are needed. The length of the table cloth is exactly one-half its width. What are the dimensions of the table cloth?

Accepted Answer

A)  length: $10 \mathrm { ft }$; width: $5 \mathrm { ft }$ 
B)  length: $5 \mathrm { ft }$; width: $10 \mathrm { ft }$ 
C)  length: $2 \frac { 1 } { 2 } \mathrm { ft }$; width: $5 \mathrm { ft }$ 
D)  length: $10 \mathrm { ft }$; width: $20 \mathrm { ft }$ 
A)  length: $10 \mathrm { ft }$; width: $5 \mathrm { ft }$ 
B)  length: $5 \mathrm { ft }$; width: $10 \mathrm { ft }$ 
C)  length: $2 \frac { 1 } { 2 } \mathrm { ft }$; width: $5 \mathrm { ft }$ 
D)  length: $10 \mathrm { ft }$; width: $20 \mathrm { ft }$

Question 7

Write the algebraic expression described. Simplify if possible.
-During a walk-a-thon, Rosilyn walked 18 fewer laps than June walked. If June walked b laps, how many laps did Rosilyn walk?

Accepted Answer

A)  $( b + 18 )$ laps 
B)  $\frac { b } { 18 }$ laps 
C)  $( b - 18 )$ laps 
D)  $( 18 - b )$ laps 
A)  $( b + 18 )$ laps 
B)  $\frac { b } { 18 }$ laps 
C)  $( b - 18 )$ laps 
D)  $( 18 - b )$ laps

Question 8

Solve the problem.
-On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $4 each and a number of necklaces at $13 each. She wrote a check for $930 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?

Accepted Answer

A)  80 bracelets and 40 necklaces 
B)  65 bracelets and 55 necklaces 
C)  75 bracelets and 45 necklaces 
D)  70 bracelets and 50 necklaces 
A)  80 bracelets and 40 necklaces 
B)  65 bracelets and 55 necklaces 
C)  75 bracelets and 45 necklaces 
D)  70 bracelets and 50 necklaces

Question 9

Solve the equation.
-$8.4 m - 8.5 - 5.7 m = - 2.2 + 2.7 m - 6.3$

Accepted Answer

A)  no solution 
B)  $0.2$ 
C)  all real numbers 
D)  0 
A)  no solution 
B)  $0.2$ 
C)  all real numbers 
D)  0

Question 10

Indicate whether the list of terms are like or unlike.
-$4 z , - 15 z$

Accepted Answer

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

Question 11

Solve the equation.
-$0.4 x - 0.6 x - 5 = 3$

Accepted Answer

A)  $- 40$ 
B)  40 
C)  35 
D)  $- 35$ 
A)  $- 40$ 
B)  40 
C)  35 
D)  $- 35$

Question 12

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Ming got a 17% raise in her salary from last year. This year she is earning $119,340. How much did she make last year?

Accepted Answer

A)  $102,000 
B)  $17,340 
C)  $2,028,780 
D)  $7020 
A)  $102,000 
B)  $17,340 
C)  $2,028,780 
D)  $7020

Question 13

Simplify the expression. First use the distributive property to remove any parentheses.
-10m + 2n - 2m + 10(m - 5n)

Accepted Answer

A)  -2m + 52n 
B)  22m + 52n 
C)  18m - 3n 
D)  18m - 48n 
A)  -2m + 52n 
B)  22m + 52n 
C)  18m - 3n 
D)  18m - 48n

Question 14

Solve the equation.
-5(x + 3) - (5x + 15) = 0

Accepted Answer

A)  no solution 
B)  all real numbers 
C)  3 
D)  0 
A)  no solution 
B)  all real numbers 
C)  3 
D)  0

Question 15

Simplify the expression. First use the distributive property to remove any parentheses.
--(-8m + 9n - 4)

Accepted Answer

A)  -8m + 9n - 4 
B)  8m - 9n - 4 
C)  -8m + 9n + 4 
D)  8m - 9n + 4 
A)  -8m + 9n - 4 
B)  8m - 9n - 4 
C)  -8m + 9n + 4 
D)  8m - 9n + 4

Question 16

Solve the equation.
-$- 4 ( x - 5 ) = x + 7 - 5 x$

Accepted Answer

A)  no solution 
B)   
C)  $- $ 
D)  0 
A)  no solution 
B)   
C)  $- $ 
D)  0

Question 17

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells
For $8 per pound. They have a 40-pound barrel of the raisins. How many pounds of the nuts should
They mix with the barrel of raisins so that they hit their target value of $6 per pound for the
Mixture?

Accepted Answer

A)  60 lb 
B)  56 lb 
C)  64 lb 
D)  52 lb 
A)  60 lb 
B)  56 lb 
C)  64 lb 
D)  52 lb

Question 18

Simplify the expression by combining any like terms.
-$4 b - 7 b$

Accepted Answer

A)  $- 3 b$ 
B)  $3 b$ 
C)  $- 11 \mathrm {~b}$ 
D)  $- 3 b ^ { 2 }$ 
A)  $- 3 b$ 
B)  $3 b$ 
C)  $- 11 \mathrm {~b}$ 
D)  $- 3 b ^ { 2 }$

Question 19

Substitute the given values into the formula and solve for the unknown variable.
-$\mathrm { I } =$ prt; $\mathrm { I } = 8.4 , \mathrm { p } = 140 , \mathrm { r } = 0.02$

Accepted Answer

A)  $23.52$ 
B)  $0.2352$ 
C)  $0.3$ 
D)  3 
A)  $23.52$ 
B)  $0.2352$ 
C)  $0.3$ 
D)  3

Question 20

Solve the inequality. Graph the solution set and write it in interval notation.
-$6 < 2 x \leq 14$

Accepted Answer

A)  $[ 3,7 )$
  
B) $[ - 7 , - 3 )$
  
C) $( - 7 , - 3 ]$
  
D) $( 3,7 ]$
  
A)  $[ 3,7 )$
  
B) $[ - 7 , - 3 )$
  
C) $( - 7 , - 3 ]$
  
D) $( 3,7 ]$

Solve the equation. Don't forget to first simplify each side of the equation, if possible. --6k + 4 + 7k = 12 - 24

Fill in the blank with one of the words or phrases listed below. -The of a term is its numerical factor.

Fill in the blank with one of the words or phrases listed below. -If both sides of an inequality are multiplied by the same negative number, the direction of the inequality symbol is .

Solve the equation. - $\frac { x } { 13 } - 9 = - 3$

Solve. -If two planes leave an airport at the same time with one flying west at 230 miles per hour and the other flying east at 550 miles per hour, how long will it take them to be 2340 miles apart?

Solve. -To trim the edges of a rectangular table cloth, 30 feet of lace are needed. The length of the table cloth is exactly one-half its width. What are the dimensions of the table cloth?

Write the algebraic expression described. Simplify if possible. -During a walk-a-thon, Rosilyn walked 18 fewer laps than June walked. If June walked b laps, how many laps did Rosilyn walk?

Solve the problem. -On a buying trip in Los Angeles, Rosaria Perez ordered 120 pieces of jewelry: a number of bracelets at $4 each and a number of necklaces at $13 each. She wrote a check for $930 to pay for the order. How many bracelets and how many necklaces did Rosaria purchase?

Solve the equation. - $8.4 m - 8.5 - 5.7 m = - 2.2 + 2.7 m - 6.3$

Indicate whether the list of terms are like or unlike. - $4 z , - 15 z$

Solve the equation. - $0.4 x - 0.6 x - 5 = 3$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Ming got a 17% raise in her salary from last year. This year she is earning $119,340. How much did she make last year?

Simplify the expression. First use the distributive property to remove any parentheses. -10m + 2n - 2m + 10(m - 5n)

Solve the equation. -5(x + 3) - (5x + 15) = 0

Simplify the expression. First use the distributive property to remove any parentheses. --(-8m + 9n - 4)

Solve the equation. - $- 4 ( x - 5 ) = x + 7 - 5 x$

Simplify the expression by combining any like terms. - $4 b - 7 b$

Substitute the given values into the formula and solve for the unknown variable. - $\mathrm { I } =$ prt; $\mathrm { I } = 8.4 , \mathrm { p } = 140 , \mathrm { r } = 0.02$

Solve the inequality. Graph the solution set and write it in interval notation. - $6 < 2 x \leq 14$ $Solve the inequality. Graph the solution set and write it in interval notation. - 6 < 2 x \leq 14$

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