Exam 1: A Review of Basic Algebra

If 654,303 people voted for governor, out of the 1,717,000 registered voters; what percent of the registered voters voted? Round the answer to the nearest tenth of a percent. ________ %

Find the value of the expression. - |- 4|

X Y -4 -8 0 -5 4 -2 -Translate the following verbal model into a mathematical model. The cost C (in dollars) to rent a limousine is $300 plus $0.46 a mile. Let m = number of miles driven.

For any real number a, $\left\{ \begin{array} { l } \text { If } a \geq 0 , \text { then } | a | = \underline { \quad \quad \quad \quad }\\\text { If } a < 0 , \text { then } | a | = \underline { \quad \quad \quad \quad }\end{array} \right.$

Find the value of the expression. |- 20|

An investment club invested part of $13,000 at 4% annual interest and the rest at 5%. If the annual income from the investments is $690 and x represents the amount invested at 4%, which expression represents the amount invested at 5%?

Solve: $2 ( 4 x - 3 ) + 1 - 7 x = 3 x - ( 2 x - 2 )$ . If the equation is an identity or a contradiction; so indicate.

A(n) __________ number is a whole number greater than 1 that has only itself and 1 as factors. A(n) __________ number is a whole number greater than 1 that is not prime.

The perimeter of a rectangle is 132 feet. The length of the rectangle is two feet more than three times the width. Find the width of the rectangle. ________ feet

Solve for the specified variable. $\rho = 2 l + 2 w \text { for } l$

If the sum of the measures of two angles equals 90∘ the angles are called __________ right angles.

Janis and Susan are 15 miles apart and are riding bicycles toward each other. If Janis rides at 5 mph and Susan at 4 mph, how long will it take for them to meet each other?

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.65,9,14 . \overline { 6 } \right\}$ that belong to the set of irrational numbers.

Translate the verbal model into a mathematical model. The perimeter P of an equilateral triangle can be found by tripling the length of one of its sides s .

A(n) __________ is a letter that is used to stand for a number.

Evaluate: $2 - 7 ( 6 - 4 ) ^ { 2 }$

The formula for the cost C of renting a banquet room is given by C = 150 x + 300 where x is the number of hours the room is rented. Find the cost of renting the room for 4 $\frac{1}{2}$ hours.

Translate the verbal model into a mathematical model. The quotient of the number of clients c and seventy-five gives the number of social workers w needed.

Estimate the height of the candle after it has burned for the given times. Please round the answer to the nearest inch. For $2 \frac { 1 } { 2 }$ hours. __________ in. For 9 hours. __________ in.

A vendor sells tool chests at a flea market for $72. If she makes a profit of 20% on each unit sold, what does she pay the manufacturer for each tool chest? ( Hint: The retail price = the wholesale price + the markup.)