Exam 1: A Review of Basic Algebra

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 sum of the angles of any four-sided figure (called a quadrilateral ) is $360 ^ { \circ }$ . The quadrilateral shown has two equal base angles. Find x.

Evaluate $\frac { 1 } { 1 - \frac { 1 } { 1 - x } }$ for $x = - \frac { 2 } { 5 }$ .

Which of the following numbers is an integer?

In one year, the two top-selling cereals were General Mills' Cheerios and Kellogg's Frosted Flakes, with combined sales of $1,005 million. Frosted Flakes sales were $324 million less than the sales of Cheerios. What were the sales for Frosted Flakes? __________ million What were the sales for Cheerios? __________ million

$- \frac { 5 \pi } { 3 }$ is located between which of the following two numbers on the number line?

A new intermediate algebra textbook sells for $80 and a used intermediate algebra textbook sells for $75. How many new textbooks are sold if the receipts for 129 new and used textbooks are $10,145?

Translate the verbal model into a mathematical model. 20% of a number

A student working for a delivery company earns $57.50 per day plus $4.75 for each package she delivers. How many deliveries must she make each day to earn $200 a day? __________ deliveries

To be accepted into a police training program, a recruit must have an average score of 85 on a battery of four tests. If a candidate scored 79 on the oral test, 91 on the physical fitness test, and 89 on the psychological test, what is the lowest score she can obtain on the written test and still be accepted into the training program?

Two angles are supplementary. The larger angle is $60$ less than twice the smaller angle. If x represents the measure of the smaller angle, which equation would find the measure of the smaller angle?

The owner of a candy store wants to make a 30-pound mixture of two candies to sell for $1 per pound. If red licorice bits sell for 95 cents per pound and lemon gumdrops sell for $1.20 per pound, how many pounds of each should be used?

Translate the verbal model into a mathematical model. The cost c each semester is the sum of $12 times the number of units u taken and a student services fee of $23.

Evaluate the expression. $9 \cdot 2 ^ { 3 }$

Two search-and-rescue teams leave base camp at the same time, looking for a lost child. The first team, on horseback, heads north at 3 mph, and the other team, on foot, heads south at 1.5 mph. How long will it take them to search a distance of 18 miles between them? __________ hr

Equations with the same solution are called __________ equations.

A(n) __________ triangle has three sides of equal length and three angles of equal measure.

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

Evaluate $- \frac { 5 } { 6 } x ^ { 2 } - 5 x$ for x = 6

Perform the indicated operation: $- \frac { 1 } { 4 } + \left( - \frac { 1 } { 6 } \right)$