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Algebra Test

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Algebra 2 Honors Name ________________________________________

Test #1 1st 9-weeks September 2, 2011

SHOW ALL WORK to ensure maximum credit. Each question is worth 10 points for a total of 100 points possible. Extra credit is awarded for dressing up.

1. Write the solutions represented below in interval notation. A.) [pic] B.) [pic]

2. Use the tax formula [pic] A.) Solve for I. B.) What is the income, I, when the Tax value, T, is $184?

3. The M&M’s company makes individual bags of M&M’s for sale. In production, the company allows between 20 and 26 m&m’s, including 20 and 26. Write an absolute value inequality describing the acceptable number of m&m’s in each bag. EXPLAIN your reasoning.

4. Solve and graph the solution. [pic] 5. Solve and graph the solution. [pic]

6. Solve. [pic]

7. Solve. [pic]

8. True or False. If false, EXPLAIN why it is false. A.) An absolute value equation always has two solutions. B.) 3 is a solution to the absolute value inequality [pic] C.) 8 is a solution to the compound inequality x < 10 AND x > 0.

9. Solve for w. [pic]

10. You plant a 1.5 foot tall sawtooth oak that grows 3.5 feet per year. You want to know how many years it would take for the tree to outgrow your 20 foot roof. A.) Write an inequality that defines x as the number of years of growth. B.) Determine the number of years, to nearest hundredth, it would take to grow 20 feet.

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