Exam 1: A Review of Basic Algebra

The sum of the measures of the three angles of any triangle is $180 ^ { \circ }$ . In the illustration, the measure of angle 2 is $10 ^ { \circ }$ larger than the measure of angle 1. The measure angle 3 is $13 ^ { \circ }$ larger than the measure of angle 2.

Translate the verbal model into a mathematical model. The weight of a super-size s order of French Fries is three times that of a regular-size r order.

Solve $S = C ( 6 - r )$ for r.

A cyclist leaves his training base for a morning workout, riding at the rate of 14 mph. One hour later, her support staff leaves the base in a car going 35 mph in the same direction. How long will it take the support staff to catch up with the cyclist? __________ hours

Evaluate the expression. $- \sqrt { \frac { 9 } { 16 } }$

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.

The U.S. energy-related carbon dioxide emissions in 2006 were 5,877 million metric tons carbon equivalent. In 2005, that figure was 5,950 million metric tons. Find the percent of decrease and round to the nearest tenth of one percent. __________%

Phrases such as decreased by and less than are used to indicate the operation of __________.

Solve the formula for the specified variable. $A = \frac { 1 } { 2 } h \left( B _ { 1 } + B _ { 2 } \right) \text { for } B _ { 2 }$

A 6% alcohol solution is to be mixed with a 3% alcohol solution to make 20 liters of a 4.5% alcohol solution. If x represents the number of liters of 6% alcohol solution, which of the following equations would find the number of liters of 6% alcohol solution?

An angle whose measure is greater than 90∘ and less than 180∘ is called a(n) __________ angle.

Translate the verbal model into a mathematical model. 8 less than the square of a number

Evaluate the expression. $| 6 - 5 ( 1 - 8 ) |$

Choose the correct mathematical model for the following statement. Eight less than the quotient of six and x is three.

Solve the formula for the specified variable. $A = \frac { 1 } { 2 } b h \text { for } h$

If the sum of the measures of two angles equals 180∘ the angles are called __________ right angles.

Solve for the specified variable. $s = \frac { 1 } { 2 } g t ^ { 2 } + v t \text { for } v$

A number that can be written as $\frac { a } { b }$ , where a and b represent integers and b ? 0 is a(n) __________.

Solve the equation. Check the result. $\frac { 4 z + 3 } { 3 } + \frac { 3 z - 8 } { 12 } = \frac { z - 4 } { 4 }$

To help move his furniture, a man rents a truck for $24.00 per day plus 35 cents per mile. If he has budgeted $150 for transportation expenses, how many miles will he be able to drive the truck if the move takes 1 day?