Exam 1: Introduction to Real Numbers and Algebraic Expressions

Substitute to find the value of the expression. -A plane flies at 649 miles per hour. The time, in hours, for the plane to travel a distance of $\mathrm { d }$ miles is $\frac { \mathrm { d } } { 649 }$ . How long will it take for the plane to travel 3245 miles?

Simplify. - $- 13 - 0 - ( - 20 ) - 6 + 13$

Simplify. - $6 + ( - 12 ) + 5 + ( - 9 ) + 15 + ( - 19 )$

Add. Do not use a number line except as a check. - $12 + ( - 84 )$

Translate the phrase to an algebraic expression. -The quotient of x divided by eight

Find the absolute value. - $| 17 |$

Evaluate -(-x)for the given value of x. - $x = - 0.108$

Subtract. - $\frac { 2 } { 9 } - \left( - \frac { 3 } { 4 } \right)$

Solve the problem. -A machinist has flat metal plate that is $8.312 \mathrm {~cm}$ thick. He laminates the metal plate with four more layers that are $1.718 \mathrm {~cm} , 2.854 \mathrm {~cm} , 4.930 \mathrm {~cm}$ , and $4.291 \mathrm {~cm}$ thick. He then grinds off $3.090 \mathrm {~cm}$ from the top of the plate, then $2.285 \mathrm {~cm}$ more, and finally another $6.925 \mathrm {~cm}$ . Find the new thickness of the plate.

Add. Do not use a number line except as a check. - $- 13 + ( - 5 )$

Translate the phrase to an algebraic expression. -x subtracted from y

Substitute to find the value of the expression. -The area of a triangle with base $b$ and height $h$ is given by the formula $A = \frac { 1 } { 2 } b h$ . Find the area of a triangle when the base is $3.4$ centimeters and the height is $5.5$ centimeters.

Subtract. - $\frac { 1 } { 6 } - ( 7 )$

Evaluate. - $\frac { x + y } { 10 }$ , when $x = 13$ and $y = 47$

$\text { Insert } < \text { or } > \text { to write a true statement. }$ -3_2

$\text { Insert } < \text { or } > \text { to write a true statement. }$ - $0 ـــــــــ\quad - 10$

Graph the numbers on a number line. - $- 3 , - 1,1,3$

Add. Do not use a number line except as a check. - $- 43 + 7.8 + ( - 12.2 ) + ( - 29 ) + 58$

Determine whether the statement is true or false. - $12 < 6$

Find the opposite, or additive inverse. - $- 23$