Question 1

Determine if the given value is a solution to the equation.
-y - 2 = 1; 3

Accepted Answer

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

Question 2

Determine whether the inequality is true or false.
-$14 \leq 4$

Accepted Answer

A) True 
 B)False

Question 3

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$2 \frac { 8 } { 9 } \div 1 \frac { 2 } { 7 }$$

Accepted Answer

A)  $2 \frac { 21 } { 81 }$ 
B)  $3 \frac { 20 } { 81 }$ 
C)  $2 \frac { 20 } { 80 }$ 
D)  $2 \frac { 20 } { 81 }$ 
A)  $2 \frac { 21 } { 81 }$ 
B)  $3 \frac { 20 } { 81 }$ 
C)  $2 \frac { 20 } { 80 }$ 
D)  $2 \frac { 20 } { 81 }$

Question 4

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the
number.
-$\frac { 1 } { 2 }$ of a number

Accepted Answer

A)  $2 x$ 
B)  $x - \frac { 1 } { 2 }$ 
C)  $x + \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 } x$ 
A)  $2 x$ 
B)  $x - \frac { 1 } { 2 }$ 
C)  $x + \frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 2 } x$

Question 5

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 1 } { 17 } \div \frac { 7 } { 10 }$$

Accepted Answer

A)  $\frac { 10 } { 117 }$ 
B)  $\frac { 10 } { 119 }$ 
C)  $\frac { 9 } { 119 }$ 
D)  $\frac { 8 } { 119 }$ 
A)  $\frac { 10 } { 117 }$ 
B)  $\frac { 10 } { 119 }$ 
C)  $\frac { 9 } { 119 }$ 
D)  $\frac { 8 } { 119 }$

Question 6

Write the sentence as an equation. Let the variable x represent the number.
-The quotient of 15 and a number is $\frac { 1 } { 4 }$.

Accepted Answer

A)  $\frac { 15 } { x } = \frac { 1 } { 4 }$ 
B)  $15 x = \frac { 1 } { 4 }$ 
C)  $\frac { x } { 15 } = \frac { 1 } { 4 }$ 
D)  $x + 15 = \frac { 1 } { 4 }$ 
A)  $\frac { 15 } { x } = \frac { 1 } { 4 }$ 
B)  $15 x = \frac { 1 } { 4 }$ 
C)  $\frac { x } { 15 } = \frac { 1 } { 4 }$ 
D)  $x + 15 = \frac { 1 } { 4 }$

Question 7

Write the English phrase as an algebraic expression. Let the variable x represent the number.
-The sum of a number and 138

Accepted Answer

A)  x - 138 
B)  138 
C)  138x 
D)  x + 138 
A)  x - 138 
B)  138 
C)  138x 
D)  x + 138

Question 8

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$5 \frac { 1 } { 5 } + 9 \frac { 7 } { 9 }$$

Accepted Answer

A)  $15 \frac { 44 } { 45 }$ 
B)  $13 \frac { 44 } { 45 }$ 
C)  $14 \frac { 44 } { 45 }$ 
D)  $5 \frac { 44 } { 45 }$ 
A)  $15 \frac { 44 } { 45 }$ 
B)  $13 \frac { 44 } { 45 }$ 
C)  $14 \frac { 44 } { 45 }$ 
D)  $5 \frac { 44 } { 45 }$

Question 9

Insert either  in the area between the pair of numbers to make a true statement.
-$$\frac { 2 } { 3 }\underline{\quad\quad}  \frac { 13 } { 19 }$$

Accepted Answer

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

Question 10

Express the rational number as a decimal.
-$$\frac { 7 } { 10 }$$

Accepted Answer

A)  7 
B)  0.7 
C)  1.429 
D)  0.07 
A)  7 
B)  0.7 
C)  1.429 
D)  0.07

Question 11

Evaluate the algebraic expression for the given value(s).
-$x - 0 , \text { given } x = 3$

Accepted Answer

A)  4 
B)  2 
C)  0 
D)  3 
A)  4 
B)  2 
C)  0 
D)  3

Question 12

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$9 \frac { 1 } { 4 } + 20 \frac { 2 } { 5 }$$

Accepted Answer

A)  $29 \frac { 13 } { 20 }$ 
B)  $28 \frac { 13 } { 20 }$ 
C)  $30 \frac { 13 } { 20 }$ 
D)  $9 \frac { 13 } { 20 }$ 
A)  $29 \frac { 13 } { 20 }$ 
B)  $28 \frac { 13 } { 20 }$ 
C)  $30 \frac { 13 } { 20 }$ 
D)  $9 \frac { 13 } { 20 }$

Question 13

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.
-$$\frac { 7 } { 8 } - \frac { 3 } { 8 }$$

Accepted Answer

A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 5 } { 8 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  $\frac { 1 } { 2 }$

Question 14

Write the sentence as an equation. Let the variable x represent the number.
-The sum of twice a number and 5 is 11.

Accepted Answer

A)  x + 10 = 11 
B)  10x = 11 
C)  2x + 5 = 11 
D)  2x - 5 = 11 
A)  x + 10 = 11 
B)  10x = 11 
C)  2x + 5 = 11 
D)  2x - 5 = 11

Question 15

Write the sentence as an equation. Let the variable x represent the number.
-The product of 4 and a number increased by 5 is 32.

Accepted Answer

A)  4(x + 5) = 32 
B)  4x + 5 = 32 
C)  20x = 32 
D)  4x - 5 = 32 
A)  4(x + 5) = 32 
B)  4x + 5 = 32 
C)  20x = 32 
D)  4x - 5 = 32

Question 16

Determine whether the inequality is true or false.
-$- 9 \leq 20$

Accepted Answer

A) True 
 B)False

Question 17

Write the sentence as an equation. Let the variable x represent the number.
-The formula S = P - 0.2P gives the sale price, S, of a shirt that was marked down 20% from the original price, P. Find the sale price of a shirt that originally cost $42.

Accepted Answer

A)  $44.00 
B)  $33.60 
C)  $41.80 
D)  $50.40 
A)  $44.00 
B)  $33.60 
C)  $41.80 
D)  $50.40

Question 18

Write the sentence as an equation. Let the variable x represent the number.
-Seven less than 4 times a number gives 5.

Accepted Answer

A)  7 - 4x = 5 
B)  $\frac { 4 x } { 7 } = 5$ 
C)  x - 28 = 5 
D)  4x - 7 = 5 
A)  7 - 4x = 5 
B)  $\frac { 4 x } { 7 } = 5$ 
C)  x - 28 = 5 
D)  4x - 7 = 5

Question 19

Graph the numbers on a number line.
-The table shows the record high temperatures for four U.S. states. Graph the four record high temperatures on a number line. $\begin{array} { l | c } 
 { \text { State } } & \text { Record High } \left( { } ^ { \circ } \mathrm { F } \right) \
\hline \text { Arizona } & 128 \
\text { Delaware } & 110 \
\text { Idaho } & 118 \
\text { Texas } & 120
\end{array}$

Accepted Answer

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

Question 20

List all the elements of B that are elements of the given set.
-$B = \left\{ 9 , \sqrt { 6 } , - 4,0 , \frac { 0 } { 6 } , \sqrt { 4 } \right\}$ Integers

Accepted Answer

A)  $9 , - 4,0 , \frac { 0 } { 6 } , \sqrt { 4 }$ 
B)  $9,0 , \sqrt { 4 }$ 
C)  $9 , - 4,0$ 
D)  9,0 
A)  $9 , - 4,0 , \frac { 0 } { 6 } , \sqrt { 4 }$ 
B)  $9,0 , \sqrt { 4 }$ 
C)  $9 , - 4,0$ 
D)  9,0

Determine if the given value is a solution to the equation. -y - 2 = 1; 3

Determine whether the inequality is true or false. - $14 \leq 4$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $2 \frac { 8 } { 9 } \div 1 \frac { 2 } { 7 }$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. - $\frac { 1 } { 2 }$ of a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 1 } { 17 } \div \frac { 7 } { 10 }$

Write the sentence as an equation. Let the variable x represent the number. -The quotient of 15 and a number is $\frac { 1 } { 4 }$ .

Write the English phrase as an algebraic expression. Let the variable x represent the number. -The sum of a number and 138

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $5 \frac { 1 } { 5 } + 9 \frac { 7 } { 9 }$

Insert either < or > in the area between the pair of numbers to make a true statement. - $\frac { 2 } { 3 }\underline{\quad\quad} \frac { 13 } { 19 }$

Express the rational number as a decimal. - $\frac { 7 } { 10 }$

Evaluate the algebraic expression for the given value(s). - $x - 0 , \text { given } x = 3$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $9 \frac { 1 } { 4 } + 20 \frac { 2 } { 5 }$

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 7 } { 8 } - \frac { 3 } { 8 }$

Write the sentence as an equation. Let the variable x represent the number. -The sum of twice a number and 5 is 11.

Write the sentence as an equation. Let the variable x represent the number. -The product of 4 and a number increased by 5 is 32.

Determine whether the inequality is true or false. - $- 9 \leq 20$

Write the sentence as an equation. Let the variable x represent the number. -The formula S = P - 0.2P gives the sale price, S, of a shirt that was marked down 20% from the original price, P. Find the sale price of a shirt that originally cost $42.

Write the sentence as an equation. Let the variable x represent the number. -Seven less than 4 times a number gives 5.

List all the elements of B that are elements of the given set. - $B = \left\{ 9 , \sqrt { 6 } , - 4,0 , \frac { 0 } { 6 } , \sqrt { 4 } \right\}$ Integers

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

Determine if the given value is a solution to the equation. -y - 2 = 1; 3

Determine whether the inequality is true or false. - 14≤414 \leq 414≤4

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 289÷1272 \frac { 8 } { 9 } \div 1 \frac { 2 } { 7 }298​÷172​

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. - 12\frac { 1 } { 2 }21​ of a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 117÷710\frac { 1 } { 17 } \div \frac { 7 } { 10 }171​÷107​

Write the sentence as an equation. Let the variable x represent the number. -The quotient of 15 and a number is 14\frac { 1 } { 4 }41​ .