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

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)  $2 \frac { 20 } { 81 }$

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)  $\frac { 1 } { 2 } x$

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)  $\frac { 8 } { 119 }$

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)  $x + 15 = \frac { 1 } { 4 }$

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

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)  $5 \frac { 44 } { 45 }$

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)  $<$

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

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

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)  $9 \frac { 13 } { 20 }$

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)  $\frac { 1 } { 2 }$

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

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

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

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

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)

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

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. - $14 \leq 4$

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

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​ .

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. - 515+9795 \frac { 1 } { 5 } + 9 \frac { 7 } { 9 }551​+997​

Insert either < or > in the area between the pair of numbers to make a true statement. - 23‾1319\frac { 2 } { 3 }\underline{\quad\quad} \frac { 13 } { 19 }32​​1913​

Express the rational number as a decimal. - 710\frac { 7 } { 10 }107​

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

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 914+20259 \frac { 1 } { 4 } + 20 \frac { 2 } { 5 }941​+2052​

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - 78−38\frac { 7 } { 8 } - \frac { 3 } { 8 }87​−83​