Exam 1: A Review of Basic Algebra

List the elements of $\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 5 } , 4 , \pi , 4.45,7,16 . \overline { 6 } \right\}$ that belong to the set of whole numbers.

An amount P , invested at a simple interest rate r , will grow to an amount A in t years according to the formula $A = \rho ( 1 + r t )$ . Suppose a man invested some money at 5.1%. If after 5 years, he had $7,216.25 on deposit, what amount did he originally invest?

Evaluate the expression for the given values. $\sqrt { \left( x _ { 2 } - x _ { 1 } \right) ^ { 2 } + \left( y _ { 2 } - y _ { 1 } \right) ^ { 2 } }$ for $x _ { 1 } = - 2 , x _ { 2 } = 16 , y _ { 1 } = 12 , y _ { 2 } = - 12$

If $a > 0$ , the expression $\sqrt { a }$ represents the __________ square root of a .

Check to determine whether 3 is a solution of $\frac { 1 } { 3 } x - 7 =$ - 6 . Answer yes or no.

Perform the operations. - 9 + (- 8) + 3

Insert either a > or a symbol to make a true statement. |- 4| ____ - (- 5)

Solve the equation. Check the result. $\frac { 7 } { 8 } d = 49$

Evaluate the expression. $- \sqrt { 0.09 }$

A man has 171 feet of fencing to build the two-part pen shown in the illustration. If one part is a square and the other a rectangle, find the outside dimensions of the pen.

Solve the formula for the specified variable. $I = \operatorname { Pr } t \text { for } t$

Insert one pair of perentheses in the expression so that its value is -53 $4 + 1 \div 5 - 6 \times 8 - 6$

A 14 foot long bar has a 50 pound weight suspended from the left end and a 25 pound weight suspended from the right end. How far from the left end must a fulcrum be in order to balance the weights?

X Y -4 -8 0 -5 4 -2 -If $B = \frac { 3 d } { 4 } \text { and } d = 16 e , \text { then } B =$ ________ e.

A 31 foot long lever has a fulcrum at a point 20 feet from the left end. A 10 pound weight is suspended at the left end of the bar. A 15 pound weight is suspended 3 feet to the left of the fulcrum. An 10 pound weight is suspended from the right end of the bar. To the right of the fulcrum, how far must a 15 pound weight be suspended to balance the bar?

Solve the equation. Check the result. $7.8 - 11 r = - 6.2 - r$

Use the given formula to complete the table. $y = x + 11$ x y 0 11 11 ? 22 33

An equation that is made true by any permissible replacement value for the variable is called a(n) ___________.

A waitress earns $2.01 an hour plus her tips. If the waitress made $62 in tips and her total pay for the night was $71.45, how many hours did she work to the nearest tenth of an hour?

Evaluate the expression. $\frac { | - 39 | - 2 ( - 5 ) } { 2 ^ { 4 } - 9 }$