Final Exam Preparation

# Final Exam: Version B

## Questions from Chapters 1 to 3

- Evaluate if and .

For problems 2 and 3, solve for

- Find the equation that has a slope of and passes through the point (1, 4).
- Find the distance between the points (−4, −2) and (4, 4).
- Graph the relation .

For problems 7 and 8, find the solution set and graph it.

In problems 9 and 10, set up each problem algebraically and solve. Be sure to state what your variables represent.

- The weight (w
_{m}) of an object on Mars varies directly with its weight (w_{e}) on Earth. A person who weighs 95 lb on Earth weighs 38 lb on Mars. How much would a 240 lb person weigh on Mars? - Find two consecutive even integers such that their sum is 20 less than the second integer.

## Questions from Chapters 4 to 6

For problems 1–3, find the solution set of each system by any convenient method.

For problems 4–6, perform the indicated operations and simplify.

For problems 7 and 8, factor each expression completely.

- How many litres of club soda (carbonated water) must be added to 2 litres of 35% fruit juice to turn it into a carbonated drink diluted to 8% fruit juice?
- Kyra has 14 coins with a total value of If all the coins are dimes and quarters, how many of each kind of coin does she have?

## Questions from Chapters 7 to 9

In problems 1–3, perform the indicated operations and simplify.

For questions 4–6, simplify each expression.

For questions 7 and 8, solve by any convenient method.

In problems 9 and 10, find the solution set of each system by any convenient method.

- The length of a rectangle is 5 cm longer than twice the width. If the area of the rectangle is 75 cm
^{2}, find its length and width. - Find three consecutive odd integers such that the product of the first and the second is 25 less than 8 times the third.

<a class=”internal” href=”/intermediatealgebraberg/back-matter/final-exam-version-b-answer-key/”>Final Exam: Version B