Question 1

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 5 } { 11 } + \frac { 5 } { 11 }$$

Accepted Answer

A)  $\frac { 9 } { 11 }$ 
B)  $\frac { 11 } { 12 }$ 
C)  $\frac { 10 } { 11 }$ 
D)  $\frac { 9 } { 10 }$ 
A)  $\frac { 9 } { 11 }$ 
B)  $\frac { 11 } { 12 }$ 
C)  $\frac { 10 } { 11 }$ 
D)  $\frac { 9 } { 10 }$

Question 2

Graph the numbers on a number line.
-$$- \frac { 17 } { 3 } , - 3 , - 1 , \frac { 5 } { 3 }$$

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 3

Write the fraction in lowest terms.
-$\frac { 14 } { 47 }$

Accepted Answer

A)  $\frac { 14 } { 47 }$ 
B)  $\frac { 1 } { 47 }$ 
C)  $\frac { 23 } { 7 }$ 
D)  $\frac { 7 } { 23 }$ 
A)  $\frac { 14 } { 47 }$ 
B)  $\frac { 1 } { 47 }$ 
C)  $\frac { 23 } { 7 }$ 
D)  $\frac { 7 } { 23 }$

Question 4

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 5 } { 5 } \cdot \frac { 19 } { 11 }$

Accepted Answer

A)  $\frac { 3 } { 2 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 19 } { 11 }$ 
D)  $\frac { 11 } { 19 }$ 
A)  $\frac { 3 } { 2 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 19 } { 11 }$ 
D)  $\frac { 11 } { 19 }$

Question 5

Determine whether the inequality is true or false.
-$17 < - 12$

Accepted Answer

A) True 
 B)False

Question 6

Insert either  in the area between the pair of numbers to make a true statement.
-$$- 65\underline{\quad\quad}- 54$$

Accepted Answer

A)  \( 
A)  \(

Question 7

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 7 } { 8 } - \frac { 1 } { 4 }$

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 3 } { 16 }$ 
D)  $\frac { 5 } { 2 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 3 } { 16 }$ 
D)  $\frac { 5 } { 2 }$

Question 8

Write the English phrase as an algebraic expression. Let the variable x represent the number.
-eight more than a number

Accepted Answer

A)  x - 8 
B)  x + 8 
C)  x + 80 
D)  8x 
A)  x - 8 
B)  x + 8 
C)  x + 80 
D)  8x

Question 9

Write the English phrase as an algebraic expression. Let the variable x represent the number.
-eight less than a number

Accepted Answer

A)  8 - x 
B)  $\frac { x } { 8 }$ 
C)  x + 8 
D)  x - 8 
A)  8 - x 
B)  $\frac { x } { 8 }$ 
C)  x + 8 
D)  x - 8

Question 10

Write the sentence as an equation. Let the variable x represent the number.
-Find the perimeter of a rectangle if the length, L, is 8 meters and the width, W, is 7 meters. Use the formula P = 2L + 2W.

Accepted Answer

A)  112 m 
B)  23 m 
C)  30 m 
D)  15 m 
A)  112 m 
B)  23 m 
C)  30 m 
D)  15 m

Question 11

Write the fraction in lowest terms.
-$$\frac { 60 } { 105 }$$

Accepted Answer

A)  $\frac { 60 } { 105 }$ 
B)  $\frac { 4 } { 15 }$ 
C)  $\frac { 4 } { 7 }$ 
D)  $\frac { 15 } { 7 }$ 
A)  $\frac { 60 } { 105 }$ 
B)  $\frac { 4 } { 15 }$ 
C)  $\frac { 4 } { 7 }$ 
D)  $\frac { 15 } { 7 }$

Question 12

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the
number.
-The product of $\frac { 3 } { 4 }$ and a number, decreased by 9 , is 3 more than the number.

Accepted Answer

A)  $\frac { 3 } { 4 } x + 9 = x + 3$ 
B)  $\frac { 3 } { 4 } x - 9 = x - 3$ 
C)  $\frac { 3 } { 4 } x - 9 + x = 3$ 
D)  $\frac { 3 } { 4 } x - 9 = x + 3$ 
A)  $\frac { 3 } { 4 } x + 9 = x + 3$ 
B)  $\frac { 3 } { 4 } x - 9 = x - 3$ 
C)  $\frac { 3 } { 4 } x - 9 + x = 3$ 
D)  $\frac { 3 } { 4 } x - 9 = x + 3$

Question 13

Graph the numbers on a number line.
-$$- 5 \frac { 2 } { 3 } , - 3 , - 1,1 \frac { 2 } { 3 }$$

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 14

Determine if the given value is a solution to the equation.
-$$\frac { 1 } { 4 } ( x - 4 ) + 2 = \frac { 3 } { 5 } ( 2 x - 5 ) ; 6$$

Accepted Answer

A)  solution 
B)  not a solution 
A)  solution 
B)  not a solution

Question 15

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for
the situation.
-values of A given by the formula A =πr2, where A is the area of a circle with radius r

Accepted Answer

A)  whole numbers 
B)  all real numbers 
C)  integers 
D)  rational numbers 
A)  whole numbers 
B)  all real numbers 
C)  integers 
D)  rational numbers

Question 16

Determine whether the inequality is true or false.
-$23 > 2$

Accepted Answer

A) True 
 B)False

Question 17

Determine if the given value is a solution to the equation.
-$$11 - \frac { 1 } { 3 } z = \frac { 1 } { 8 } z ; 24$$

Accepted Answer

A)  not a solution 
B)  solution 
A)  not a solution 
B)  solution

Question 18

Insert either  in the area between the pair of numbers to make a true statement.
-$-10 \underline{\quad\quad} -3$

Accepted Answer

A) $>$ B) < A) $>$ B) <

Question 19

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$\frac { 9 } { 19 } - \frac { 5 } { 17 }$

Accepted Answer

A)  $\frac { 58 } { 19 }$ 
B)  $\frac { 58 } { 323 }$ 
C)  $\frac { 4 } { 19 }$ 
D)  $\frac { 4 } { 323 }$ 
A)  $\frac { 58 } { 19 }$ 
B)  $\frac { 58 } { 323 }$ 
C)  $\frac { 4 } { 19 }$ 
D)  $\frac { 4 } { 323 }$

Question 20

Insert either  in the area between the pair of numbers to make a true statement.
-$8\underline{\quad\quad}  3$

Accepted Answer

A)   
A)

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 5 } { 11 } + \frac { 5 } { 11 }$

Graph the numbers on a number line. - $- \frac { 17 } { 3 } , - 3 , - 1 , \frac { 5 } { 3 }$ $Graph the numbers on a number line. - - \frac { 17 } { 3 } , - 3 , - 1 , \frac { 5 } { 3 }$

Write the fraction in lowest terms. - $\frac { 14 } { 47 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 5 } { 5 } \cdot \frac { 19 } { 11 }$

Determine whether the inequality is true or false. - $17 < - 12$

Insert either < or > in the area between the pair of numbers to make a true statement. - $- 65\underline{\quad\quad}- 54$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 7 } { 8 } - \frac { 1 } { 4 }$

Write the English phrase as an algebraic expression. Let the variable x represent the number. -eight more than a number

Write the English phrase as an algebraic expression. Let the variable x represent the number. -eight less than a number

Write the sentence as an equation. Let the variable x represent the number. -Find the perimeter of a rectangle if the length, L, is 8 meters and the width, W, is 7 meters. Use the formula P = 2L + 2W.

Write the fraction in lowest terms. - $\frac { 60 } { 105 }$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -The product of $\frac { 3 } { 4 }$ and a number, decreased by 9 , is 3 more than the number.

Graph the numbers on a number line. - $- 5 \frac { 2 } { 3 } , - 3 , - 1,1 \frac { 2 } { 3 }$ $Graph the numbers on a number line. - - 5 \frac { 2 } { 3 } , - 3 , - 1,1 \frac { 2 } { 3 }$

Determine if the given value is a solution to the equation. - $\frac { 1 } { 4 } ( x - 4 ) + 2 = \frac { 3 } { 5 } ( 2 x - 5 ) ; 6$

Determine whether natural numbers, whole numbers, integers, rational numbers, or all real numbers are appropriate for the situation. -values of A given by the formula A =πr², where A is the area of a circle with radius r

Determine whether the inequality is true or false. - $23 > 2$

Determine if the given value is a solution to the equation. - $11 - \frac { 1 } { 3 } z = \frac { 1 } { 8 } z ; 24$

Insert either < or > in the area between the pair of numbers to make a true statement. - $-10 \underline{\quad\quad} -3$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 9 } { 19 } - \frac { 5 } { 17 }$

Insert either < or > in the area between the pair of numbers to make a true statement. - $8\underline{\quad\quad} 3$

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 1: Variables, Real Numbers, and Mathematical Models

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 511+511\frac { 5 } { 11 } + \frac { 5 } { 11 }115​+115​

Graph the numbers on a number line. - −173,−3,−1,53- \frac { 17 } { 3 } , - 3 , - 1 , \frac { 5 } { 3 }−317​,−3,−1,35​

Write the fraction in lowest terms. - 1447\frac { 14 } { 47 }4714​

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 55⋅1911\frac { 5 } { 5 } \cdot \frac { 19 } { 11 }55​⋅1119​

Determine whether the inequality is true or false. - 17<−1217 < - 1217<−12

Insert either < or > in the area between the pair of numbers to make a true statement. - −65‾−54- 65\underline{\quad\quad}- 54−65​−54

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 78−14\frac { 7 } { 8 } - \frac { 1 } { 4 }87​−41​