Exam 1: Variables, Real Numbers, and Mathematical Models

Graph the numbers on a number line. - $- 1 \frac { 3 } { 4 } , 1,3,5 \frac { 1 } { 4 }$

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

Write the English phrase as an algebraic expression. Let the variable x represent the number. -one more than the quotient of a number and 45

Write the sentence as an equation. Let the variable x represent the number. -Four times a number is 24.

Write the English phrase as an algebraic expression. Let the variable x represent the number. -five subtracted from a number

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 8 } { 25 } - \frac { 5 } { 25 }$

Determine if the given value is a solution to the equation. - $\frac { 1 } { 5 } y + \frac { 1 } { 2 } y = 4 ; 17 \frac { 1 } { 7 }$

Write the sentence as an equation. Let the variable x represent the number. -957

Insert either < or > in the area between the pair of numbers to make a true statement. - $70\underline{\quad\quad} 700$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -A number decreased by $\frac { 1 } { 9 }$ is half of that number.

Determine whether the inequality is true or false. - $6 > 24$

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

Write the fraction in lowest terms. - $\frac { 195 } { 208 }$

Write the fraction in lowest terms. - $\frac { 495 } { 605 }$

Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number. -A number increased by $\frac { 1 } { 3 }$ of itself

Write a positive or negative integer that describes the situation. -42-pound loss

Write the fraction in lowest terms. - $\frac { 24 } { 42 }$

Insert either < or > in the area between the pair of numbers to make a true statement. - $|-2|$ ________ $|-20|$

Solve the problem. - $\text { The formula } \mathrm { H } = \frac { 3 } { 5 } ( 215 - \mathrm { a } ) \text { gives the heart rate in beats per minute of a person who is a years old. Find the }$ heart rate of a person who is 17 years old. Round to the nearest whole number.

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. - $\frac { 7 } { 9 } - \frac { 1 } { 12 }$