Question 1

Solve the equation.
--8z + 7 + 6z = -3z + 12

Accepted Answer

A)  -7 
B)  12 
C)  -12 
D)  5 
A)  -7 
B)  12 
C)  -12 
D)  5

Question 2

Write the algebraic expression described. Simplify if possible.
-If x represents the first of four consecutive even integers, express the sum of the first integer and the fourth integer in terms of x.

Accepted Answer

A)  4x + 12 
B)  2x + 4 
C)  2x + 6 
D)  4x + 6 
A)  4x + 12 
B)  2x + 4 
C)  2x + 6 
D)  4x + 6

Question 3

Solve the equation.
-$\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$

Accepted Answer

A)  $- 90$ 
B)  45 
C)  $- 45$ 
D)  90 
A)  $- 90$ 
B)  45 
C)  $- 45$ 
D)  90

Question 4

Solve the formula for the specified variable.
-$P = 2 L + 2 W \quad \text { for } L$

Accepted Answer

A)  $\mathrm { L } = \frac { \mathrm { P } - \mathrm { W } } { 2 }$ 
B)  $L = P - W$ 
C)  $L = \frac { P - 2 W } { 2 }$ 
D)  $L = P - 2 W$ 
A)  $\mathrm { L } = \frac { \mathrm { P } - \mathrm { W } } { 2 }$ 
B)  $L = P - W$ 
C)  $L = \frac { P - 2 W } { 2 }$ 
D)  $L = P - 2 W$

Question 5

Simplify the expression. First use the distributive property to remove any parentheses.
--6(4y - 5)

Accepted Answer

A)  -2y + 1 
B)  -24y - 30 
C)  -24y - 5 
D)  -24y + 30 
A)  -2y + 1 
B)  -24y - 30 
C)  -24y - 5 
D)  -24y + 30

Question 6

Write the phrase as a variable expression. Use x for the unknown number.
-Three times a number

Accepted Answer

A)  $3 x$ 
B)  $x - 3$ 
C)  $3 - x$ 
D)  $\frac { 3 } { x }$ 
A)  $3 x$ 
B)  $x - 3$ 
C)  $3 - x$ 
D)  $\frac { 3 } { x }$

Question 7

Solve the equation.
-$\frac { \mathrm { n } } { 3 } = 10$

Accepted Answer

A)  3 
B)  12 
C)  13 
D)  30 
A)  3 
B)  12 
C)  13 
D)  30

Question 8

Solve the equation.
-$7 m - 3 - 3 ( m + 1 ) = - ( 7 m - 4 )$

Accepted Answer

A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 10 } { 7 }$ 
C)  $\frac { 10 } { 11 }$ 
D)  $\frac { 2 } { 7 }$ 
A)  $\frac { 2 } { 11 }$ 
B)  $\frac { 10 } { 7 }$ 
C)  $\frac { 10 } { 11 }$ 
D)  $\frac { 2 } { 7 }$

Question 9

Solve the equation.
-$\frac { 1 } { 3 } x + 2 = \frac { 1 } { 6 } x + \frac { 4 } { 3 }$

Accepted Answer

A)  4 
B)  $- 12$ 
C)  3 
D)  $- 4$ 
A)  4 
B)  $- 12$ 
C)  3 
D)  $- 4$

Question 10

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place.
-Jeans are on sale at the local department store for 25% off. If the jeans originally cost $59, find the sale price.

Accepted Answer

A)  $73.75 
B)  $44.25 
C)  $57.53 
D)  $14.75 
A)  $73.75 
B)  $44.25 
C)  $57.53 
D)  $14.75

Question 11

Solve.
-How much would an initial bank deposit need to be in order to earn $2300 at 10% for 8 years? (Round to the nearest dollar.)

Accepted Answer

A)  $29 
B)  $184,000 
C)  $1840 
D)  $2875 
A)  $29 
B)  $184,000 
C)  $1840 
D)  $2875

Question 12

Solve the equation.
-$\frac { 1 } { 2 } y = 6$

Accepted Answer

A)  12 
B)  3 
C)  8 
D)  7 
A)  12 
B)  3 
C)  8 
D)  7

Question 13

Solve.
-The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 418, find the house numbers.

Accepted Answer

A)  208, 210 
B)  208, 416 
C)  209, 211 
D)  207, 209 
A)  208, 210 
B)  208, 416 
C)  209, 211 
D)  207, 209

Question 14

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number.
-The sum of four times a number, $- 1$, six times a number, and 3

Accepted Answer

A)  $10 x + 2$ 
B)  $10 x + 14$ 
C)  $4 x + 8$ 
D)  $10 x + 4$ 
A)  $10 x + 2$ 
B)  $10 x + 14$ 
C)  $4 x + 8$ 
D)  $10 x + 4$

Question 15

Solve.
-A certain store has a fax machine available for use by its customers. The store charges $2.45 to send the first page and $0.65 for each subsequent page. Use an inequality to find the maximum number
Of pages that can be faxed for $10.25

Accepted Answer

A)  at most 16 pages 
B)  at most 13 pages 
C)  at most 61 pages 
D)  at most 4 pages 
A)  at most 16 pages 
B)  at most 13 pages 
C)  at most 61 pages 
D)  at most 4 pages

Question 16

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

Accepted Answer

A)  24x + 42 + 6y 
B)  24x + 7 + 6y 
C)  24x + 42 + y 
D)  24x + 7 + y 
A)  24x + 42 + 6y 
B)  24x + 7 + 6y 
C)  24x + 42 + y 
D)  24x + 7 + y

Question 17

Solve the equation.
-4(2z - 4) = 7(z + 3)

Accepted Answer

A)  -5 
B)  37 
C)  9 
D)  5 
A)  -5 
B)  37 
C)  9 
D)  5

Question 18

Graph the inequality on a number line. Then write the solution in interval notation.
-$- 1 \leq x < 3$

Accepted Answer

A)  $(-1,3]$
  
B)  $( - 1,3 )$
  
C)   $[ - 1,3 ]$
  
D)  $[ - 1,3 )$
  
A)  $(-1,3]$
  
B)  $( - 1,3 )$
  
C)   $[ - 1,3 ]$
  
D)  $[ - 1,3 )$

Question 19

Solve the equation.
-$8 x - 6 - 9 x - 1 = 3$

Accepted Answer

A)  10 
B)  2 
C)  $\frac { 10 } { 17 }$ 
D)  $- 10$ 
A)  10 
B)  2 
C)  $\frac { 10 } { 17 }$ 
D)  $- 10$

Question 20

Solve.
-Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total Interest for that year was $900, how much did Kevin invest in the mutual fund?

Accepted Answer

A)  $7000 
B)  $4000 
C)  $6000 
D)  $5000 
A)  $7000 
B)  $4000 
C)  $6000 
D)  $5000

Solve the equation. --8z + 7 + 6z = -3z + 12

Write the algebraic expression described. Simplify if possible. -If x represents the first of four consecutive even integers, express the sum of the first integer and the fourth integer in terms of x.

Solve the equation. - $\frac { 2 } { 5 } x - \frac { 1 } { 3 } x = 3$

Solve the formula for the specified variable. - $P = 2 L + 2 W \quad \text { for } L$

Simplify the expression. First use the distributive property to remove any parentheses. --6(4y - 5)

Write the phrase as a variable expression. Use x for the unknown number. -Three times a number

Solve the equation. - $\frac { \mathrm { n } } { 3 } = 10$

Solve the equation. - $7 m - 3 - 3 ( m + 1 ) = - ( 7 m - 4 )$

Solve the equation. - $\frac { 1 } { 3 } x + 2 = \frac { 1 } { 6 } x + \frac { 4 } { 3 }$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. -Jeans are on sale at the local department store for 25% off. If the jeans originally cost $59, find the sale price.

Solve. -How much would an initial bank deposit need to be in order to earn $2300 at 10% for 8 years? (Round to the nearest dollar.)

Solve the equation. - $\frac { 1 } { 2 } y = 6$

Solve. -The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 418, find the house numbers.

Write the following phrase as an algebraic expression and simplify if possible. Let x represent the unknown number. -The sum of four times a number, $- 1$ , six times a number, and 3

Solve. -A certain store has a fax machine available for use by its customers. The store charges $2.45 to send the first page and $0.65 for each subsequent page. Use an inequality to find the maximum number Of pages that can be faxed for $10.25

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

Solve the equation. -4(2z - 4) = 7(z + 3)

Graph the inequality on a number line. Then write the solution in interval notation. - $- 1 \leq x < 3$ $Graph the inequality on a number line. Then write the solution in interval notation. - - 1 \leq x < 3$

Solve the equation. - $8 x - 6 - 9 x - 1 = 3$

Solve. -Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total Interest for that year was $900, how much did Kevin invest in the mutual fund?

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