Question 1

Solve. Round all amounts to one decimal place.
-$1.5$ is what percent of 12 ?

Accepted Answer

A)  $0.1 \%$ 
B)  $1.3 \%$ 
C)  $12.5 \%$ 
D)  $800 \%$ 
A)  $0.1 \%$ 
B)  $1.3 \%$ 
C)  $12.5 \%$ 
D)  $800 \%$

Question 2

Solve the equation. Don't forget to first simplify each side of the equation, if possible.
-8(8x - 5) = 65x

Accepted Answer

A)  5 
B)  -5 
C)  40 
D)  -40 
A)  5 
B)  -5 
C)  40 
D)  -40

Question 3

Solve the inequality. Graph the solution set and write it in interval notation.
-$- 18 x - 24 \leq - 6 ( 2 x + 2 )$

Accepted Answer

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

Question 4

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

Accepted Answer

A)  $- 16$ 
B)  $- 14$ 
C)  14 
D)  16 
A)  $- 16$ 
B)  $- 14$ 
C)  14 
D)  16

Question 5

Identify the numerical coefficient of the term.
-$- \frac { 7 y } { 11 }$

Accepted Answer

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

Question 6

Solve.
-You have a cylindrical cooking pot whose radius is 6 inches and whose height is 7 inches. How many full cans of soup will fit into the pot if each can has holds 10 cubic inches of soup? Use 3.14
As an approximation for π.

Accepted Answer

A)  25 cans of soup 
B)  80 cans of soup 
C)  79 cans of soup 
D)  26 cans of soup 
A)  25 cans of soup 
B)  80 cans of soup 
C)  79 cans of soup 
D)  26 cans of soup

Question 7

Write the following as an equation, using x for the unknown number. Then solve.
-If 3 times a number is added to -9, the result is equal to 12 times the number. Find the number.

Accepted Answer

A)  12(3x - 9) = -9; -1 
B)  3x + (-9) = 12x; -1 
C)  4x + (-9) = 12x; 1 
D)  15x - 12x = 9; 1 
A)  12(3x - 9) = -9; -1 
B)  3x + (-9) = 12x; -1 
C)  4x + (-9) = 12x; 1 
D)  15x - 12x = 9; 1

Question 8

Solve.
-Three less than three times a number is less than ten. Find all such numbers.

Accepted Answer

A)  $x  - \frac { 7 } { 3 }$ 
A)  $x  - \frac { 7 } { 3 }$

Question 9

Solve.
-Melissa invested an amount of money in a stock that earned an annual 3% return. She invested three times the original amount in another stock that earned an annual 5% return. If her total yearly
Return from both investments was $7200, find out how much she invested at 3%?

Accepted Answer

A)  $40,000 
B)  $270,000 
C)  $30,000 
D)  $90,000 
A)  $40,000 
B)  $270,000 
C)  $30,000 
D)  $90,000

Question 10

Solve the equation.
-$13 ( 5 x - 7 ) = 3 x - 5$

Accepted Answer

A)  $\frac { 48 } { 31 }$ 
B)  $\frac { 43 } { 34 }$ 
C)  $- \frac { 43 } { 31 }$ 
D)  $\frac { 43 } { 31 }$ 
A)  $\frac { 48 } { 31 }$ 
B)  $\frac { 43 } { 34 }$ 
C)  $- \frac { 43 } { 31 }$ 
D)  $\frac { 43 } { 31 }$

Question 11

Solve.
-Nine times the sum of a number and -45 amounts to 108. Find the number.

Accepted Answer

A)  7 
B)  57 
C)  -33 
D)  17 
A)  7 
B)  57 
C)  -33 
D)  17

Question 12

Simplify the expression.
-7 + 4(3y - 9)

Accepted Answer

A)  12y - 29 
B)  12y - 43 
C)  12y + 29 
D)  12y + 63 
A)  12y - 29 
B)  12y - 43 
C)  12y + 29 
D)  12y + 63

Question 13

Solve the equation.
-$\frac { x } { 7 } - 2 = \frac { x } { 7 }$

Accepted Answer

A)  7 
B)  no solution 
C)  all real numbers 
D)  0 
A)  7 
B)  no solution 
C)  all real numbers 
D)  0

Question 14

Write the following as an algebraic expression. Simplify if possible.
-Subtract 4x - 8 from 8x + 13.

Accepted Answer

A)  4x + 21 
B)  4x - 21 
C)  12x + 5 
D)  -4x - 21 
A)  4x + 21 
B)  4x - 21 
C)  12x + 5 
D)  -4x - 21

Question 15

Simplify the expression.
-5(x - 1) - 4(3x - 4)

Accepted Answer

A)  -17x + 21 
B)  -7x - 5 
C)  7x + 11 
D)  -7x + 11 
A)  -17x + 21 
B)  -7x - 5 
C)  7x + 11 
D)  -7x + 11

Question 16

Solve.
-Four times the sum of some number plus 2 is equal to 8 times the number minus 16.

Accepted Answer

A)  24 
B)  6 
C)  -24 
D)  -6 
A)  24 
B)  6 
C)  -24 
D)  -6

Question 17

Solve the equation.
--7 = r + 18

Accepted Answer

A)  -25 
B)  -11 
C)  25 
D)  11 
A)  -25 
B)  -11 
C)  25 
D)  11

Question 18

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

Accepted Answer

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

Question 19

Solve the equation.
-$- 3 x + 4 x - 5 = - 2 x$

Accepted Answer

A)  $- \frac { 3 } { 5 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  5 
D)  $- \frac { 5 } { 3 }$ 
A)  $- \frac { 3 } { 5 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  5 
D)  $- \frac { 5 } { 3 }$

Question 20

Write the algebraic expression described.
-The value of 8 dimes is 10 · 8 = 80 cents. Likewise, the value of x dimes is 10x. If George finds 4x - 2 nickels, 6x dimes, and x quarters in his change jar, express the total value of change in cents as an
Algebraic expression.

Accepted Answer

A)  (80x - 10) cents 
B)  (105x - 2) cents 
C)  (105x - 10) cents 
D)  (105x + 10) cents 
A)  (80x - 10) cents 
B)  (105x - 2) cents 
C)  (105x - 10) cents 
D)  (105x + 10) cents

Solve. Round all amounts to one decimal place. - $1.5$ is what percent of 12 ?

Solve the equation. Don't forget to first simplify each side of the equation, if possible. -8(8x - 5) = 65x

Solve the inequality. Graph the solution set and write it in interval notation. - $- 18 x - 24 \leq - 6 ( 2 x + 2 )$ $Solve the inequality. Graph the solution set and write it in interval notation. - - 18 x - 24 \leq - 6 ( 2 x + 2 )$

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

Identify the numerical coefficient of the term. - $- \frac { 7 y } { 11 }$

Solve. -You have a cylindrical cooking pot whose radius is 6 inches and whose height is 7 inches. How many full cans of soup will fit into the pot if each can has holds 10 cubic inches of soup? Use 3.14 As an approximation for π.

Write the following as an equation, using x for the unknown number. Then solve. -If 3 times a number is added to -9, the result is equal to 12 times the number. Find the number.

Solve. -Three less than three times a number is less than ten. Find all such numbers.

Solve. -Melissa invested an amount of money in a stock that earned an annual 3% return. She invested three times the original amount in another stock that earned an annual 5% return. If her total yearly Return from both investments was $7200, find out how much she invested at 3%?

Solve the equation. - $13 ( 5 x - 7 ) = 3 x - 5$

Solve. -Nine times the sum of a number and -45 amounts to 108. Find the number.

Simplify the expression. -7 + 4(3y - 9)

Solve the equation. - $\frac { x } { 7 } - 2 = \frac { x } { 7 }$

Write the following as an algebraic expression. Simplify if possible. -Subtract 4x - 8 from 8x + 13.

Simplify the expression. -5(x - 1) - 4(3x - 4)

Solve. -Four times the sum of some number plus 2 is equal to 8 times the number minus 16.

Solve the equation. --7 = r + 18

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

Solve the equation. - $- 3 x + 4 x - 5 = - 2 x$

Write the algebraic expression described. -The value of 8 dimes is 10 · 8 = 80 cents. Likewise, the value of x dimes is 10x. If George finds 4x - 2 nickels, 6x dimes, and x quarters in his change jar, express the total value of change in cents as an Algebraic expression.

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

Solve. Round all amounts to one decimal place. - 1.51.51.5 is what percent of 12 ?