Warm up week 1

Name____________________________________ Band_________________ Date_______________ 1. Solve for x algebraically: If x is a number in the interval , state all integers that satisfy the given inequality. Explain how you determined these values. 2. Translate into symbolic form: Two-thirds of a number decreased by 5 is at most twice the number increased by 22. 3. Solve and graph the following compound inequality. 2 < 3x + 2 ≤ 14 Express the solution set using interval notation. 4. David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee shop. Write an inequality to represent the number of hours, x, babysitting and the number of hours, y, working at the coffee shop that David will need to

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Name____________________________________ Band_________________ Date_______________

1. Solve for x algebraically: If x is a number in the interval , state all integers that satisfy the given inequality. Explain how you determined these values.

2. Translate into symbolic form: Two-thirds of a number decreased by 5 is at most twice the number increased by 22.

3. Solve and graph the following compound inequality. 2 < 3x + 2 ≤ 14

Express the solution set using interval notation.

4. David has two jobs. He earns $8 per hour babysitting his neighbor’s children and he earns $11 per hour working at the coffee shop. Write an inequality to represent the number of hours, x, babysitting and the number of hours, y, working at the coffee shop that David will need to work to earn a minimum of $200. David worked 15 hours at the coffee shop. Use the inequality to find the number of full hours he must babysit to reach his goal of $200.

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