Question 1

Simplify the expression.
-1.1x + 4.2 + 5.3x - 6.6

Accepted Answer

A)  -4.4 
B)  6.4x - 2.4 
C)  6.4x + 2.4 
D)  6.4x - 10.8 
A)  -4.4 
B)  6.4x - 2.4 
C)  6.4x + 2.4 
D)  6.4x - 10.8

Question 2

Write the phrase as a variable expression. Use x for the unknown number.
-The quotient of $- 22$ and the difference of a number and 6

Accepted Answer

A)  $\frac { - 22 } { 6 - x }$ 
B)  $\frac { - 22 } { x + 6 }$ 
C)  $\frac { 6 } { x + 22 }$ 
D)  $\frac { - 22 } { x - 6 }$ 
A)  $\frac { - 22 } { 6 - x }$ 
B)  $\frac { - 22 } { x + 6 }$ 
C)  $\frac { 6 } { x + 22 }$ 
D)  $\frac { - 22 } { x - 6 }$

Question 3

Simplify the expression. First use the distributive property to remove any parentheses.
--6(2x - 7) - 4x + 6

Accepted Answer

A)  8x + 48 
B)  16x + 48 
C)  -16x - 36 
D)  -16x + 48 
A)  8x + 48 
B)  16x + 48 
C)  -16x - 36 
D)  -16x + 48

Question 4

Solve the equation.
-x - 18 = 3

Accepted Answer

A)  -21 
B)  15 
C)  -15 
D)  21 
A)  -21 
B)  15 
C)  -15 
D)  21

Question 5

Solve the equation.
-$9 y = 8 ( 4 y - 3 )$

Accepted Answer

A)  $\frac { 24 } { 23 }$ 
B)  $\frac { 23 } { 24 }$ 
C)  $\frac { 8 } { 3 }$ 
D)  $- \frac { 24 } { 23 }$ 
A)  $\frac { 24 } { 23 }$ 
B)  $\frac { 23 } { 24 }$ 
C)  $\frac { 8 } { 3 }$ 
D)  $- \frac { 24 } { 23 }$

Question 6

Solve the equation.
-$- 10.4 z + 1.6 = - 42.9 - 1.5 z$

Accepted Answer

A)  5 
B)  $- 53$ 
C)  $4.4$ 
D)  $4.3$ 
A)  5 
B)  $- 53$ 
C)  $4.4$ 
D)  $4.3$

Question 7

Identify the numerical coefficient of the term.
-$- Z$

Accepted Answer

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

Question 8

Solve the equation.
-$\frac { 1 } { 6 } \mathrm { f } - 5 = 1$

Accepted Answer

A)  $- 24$ 
B)  $- 36$ 
C)  24 
D)  36 
A)  $- 24$ 
B)  $- 36$ 
C)  24 
D)  36

Question 9

Solve the equation.
-$\frac { 1 } { 4 } ( x + 12 ) + \frac { 1 } { 6 } ( x + 6 ) = x + 8$

Accepted Answer

A)  $- \frac { 72 } { 7 }$ 
B)  $- \frac { 120 } { 7 }$ 
C)  $- \frac { 48 } { 7 }$ 
D)  $- \frac { 144 } { 7 }$ 
A)  $- \frac { 72 } { 7 }$ 
B)  $- \frac { 120 } { 7 }$ 
C)  $- \frac { 48 } { 7 }$ 
D)  $- \frac { 144 } { 7 }$

Question 10

Solve the equation.
-9x - 12x = 33 - 12

Accepted Answer

A)  7 
B)  3 
C)  -3 
D)  -7 
A)  7 
B)  3 
C)  -3 
D)  -7

Question 11

Solve the inequality. Graph the solution set and write it in interval notation.
-$- \frac { 1 } { 5 } x < 2$

Accepted Answer

A)  $( - 10 , \infty )$
  
B)  $( - \infty , - 10 ]$
  
C)  $( - \infty , - 10 )$
  
D)  $[ - 10 , \infty )$
  
A)  $( - 10 , \infty )$
  
B)  $( - \infty , - 10 ]$
  
C)  $( - \infty , - 10 )$
  
D)  $[ - 10 , \infty )$

Question 12

Solve the equation.
-$\frac { 1 } { 4 } ( 8 x - 12 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 6$

Accepted Answer

A)  no solution 
B)  0 
C)  all real numbers 
D)  $\frac { 3 } { 2 }$ 
A)  no solution 
B)  0 
C)  all real numbers 
D)  $\frac { 3 } { 2 }$

Question 13

Solve.
-30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in
The first bag, find the number of marbles in each bag.

Accepted Answer

A)  1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles 
B)  1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles 
C)  1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles 
D)  1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles 
A)  1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles 
B)  1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles 
C)  1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles 
D)  1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles

Question 14

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

-Inequalities containing two inequality symbols are called .

Accepted Answer

A)  like terms 
B)  compound inequalities 
C)  equivalent equations 
D)  linear inequality in one variable 
A)  like terms 
B)  compound inequalities 
C)  equivalent equations 
D)  linear inequality in one variable

Question 15

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-10n = 6n + 3 + 3n

Accepted Answer

A)  3 
B)  30 
C)  -3 
D)  -30 
A)  3 
B)  30 
C)  -3 
D)  -30

Question 16

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
-Five times a number, increased by ten

Accepted Answer

A)  5x + 10 
B)  5 + 10x 
C)  5x - 10 
D)  5x + 50 
A)  5x + 10 
B)  5 + 10x 
C)  5x - 10 
D)  5x + 50

Question 17

Solve.
-Linda and Dave leave simultaneously from the same starting point biking in opposite directions. Linda bikes at 5 miles per hour and Dave bikes at 9 miles per hour. How long will it be until they
Are 30 miles apart from each other?

Accepted Answer

A)  $2 \frac { 1 } { 7 } \mathrm { hr }$ 
B)  $7 \frac { 1 } { 2 } \mathrm { hr }$ 
C)  $\frac { 7 } { 15 } \mathrm { hr }$ 
D)  $\frac { 2 } { 3 } \mathrm { hr }$ 
A)  $2 \frac { 1 } { 7 } \mathrm { hr }$ 
B)  $7 \frac { 1 } { 2 } \mathrm { hr }$ 
C)  $\frac { 7 } { 15 } \mathrm { hr }$ 
D)  $\frac { 2 } { 3 } \mathrm { hr }$

Question 18

Solve the formula for the specified variable.
-$\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 } \quad$ for $\mathrm { h }$

Accepted Answer

A)  $h = 2 \pi ( S - r )$ 
B)  $h = S - r$ 
C)  $h = \frac { S } { 2 \pi r } - 1$ 
D)  $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$ 
A)  $h = 2 \pi ( S - r )$ 
B)  $h = S - r$ 
C)  $h = \frac { S } { 2 \pi r } - 1$ 
D)  $h = \frac { S - 2 \pi r ^ { 2 } } { 2 \pi r }$

Question 19

Graph the inequality on a number line. Then write the solution in interval notation.
-$x>-\frac{1}{4}$

Accepted Answer

A)  $\left( \infty , - \frac { 1 } { 4 } \right)$
  
B)  $\left( - \frac { 1 } { 4 } , \infty \right)$
  
C)   
D)   
A)  $\left( \infty , - \frac { 1 } { 4 } \right)$
  
B)  $\left( - \frac { 1 } { 4 } , \infty \right)$
  
C)   
D)

Question 20

Solve the inequality. Graph the solution set and write it in interval notation.
-$-21 \leq-3 x-3<-9$

Accepted Answer

A)  $( 2,6 ]$
  
B) $( - 6 , - 2 ]$
  
C) $[ 2,6 ]$
  
D)  $[ - 6 , - 2 )$
  
A)  $( 2,6 ]$
  
B) $( - 6 , - 2 ]$
  
C) $[ 2,6 ]$
  
D)  $[ - 6 , - 2 )$

Simplify the expression. -1.1x + 4.2 + 5.3x - 6.6

Write the phrase as a variable expression. Use x for the unknown number. -The quotient of $- 22$ and the difference of a number and 6

Simplify the expression. First use the distributive property to remove any parentheses. --6(2x - 7) - 4x + 6

Solve the equation. -x - 18 = 3

Solve the equation. - $9 y = 8 ( 4 y - 3 )$

Solve the equation. - $- 10.4 z + 1.6 = - 42.9 - 1.5 z$

Identify the numerical coefficient of the term. - $- Z$

Solve the equation. - $\frac { 1 } { 6 } \mathrm { f } - 5 = 1$

Solve the equation. - $\frac { 1 } { 4 } ( x + 12 ) + \frac { 1 } { 6 } ( x + 6 ) = x + 8$

Solve the equation. -9x - 12x = 33 - 12

Solve the inequality. Graph the solution set and write it in interval notation. - $- \frac { 1 } { 5 } x < 2$ $Solve the inequality. Graph the solution set and write it in interval notation. - - \frac { 1 } { 5 } x < 2$

Solve the equation. - $\frac { 1 } { 4 } ( 8 x - 12 ) = 6 \left( \frac { 1 } { 3 } x - \frac { 1 } { 2 } \right) + 6$

Solve. -30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in The first bag, find the number of marbles in each bag.

Fill in the blank with one of the words or phrases listed below. -Inequalities containing two inequality symbols are called .

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -10n = 6n + 3 + 3n

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -Five times a number, increased by ten

Solve. -Linda and Dave leave simultaneously from the same starting point biking in opposite directions. Linda bikes at 5 miles per hour and Dave bikes at 9 miles per hour. How long will it be until they Are 30 miles apart from each other?

Solve the formula for the specified variable. - $\mathrm { S } = 2 \pi \mathrm { rh } + 2 \pi \mathrm { r } ^ { 2 } \quad$ for $\mathrm { h }$

Graph the inequality on a number line. Then write the solution in interval notation. - $x>-\frac{1}{4}$ $Graph the inequality on a number line. Then write the solution in interval notation. - x>-\frac{1}{4}$

Solve the inequality. Graph the solution set and write it in interval notation. - $-21 \leq-3 x-3<-9$ $Solve the inequality. Graph the solution set and write it in interval notation. - -21 \leq-3 x-3<-9$

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