Review Exercises 125 Section 2.5 Order of Operations and Algebraic Expressions Key Concepts Order of Operations 1. First perform all operations inside parentheses and other grouping symbols. 2. Simplify expressions containing exponents, square roots, or absolute values. 3. Perform multiplication or division in the order that they appear from left to right. 4. Perform addition or subtraction in the order that they appear from left to right. Evaluating an Algebraic Expression To evaluate an expression, first replace the variable with parentheses. Then insert the values and simplify using the order of operations. Examples Example 1 15 218 1122 15 21322 15 2 9 15 18 Example 2 Evaluate 4x 5y for x 2 and y 3. 4x 5y 41 2 51 2 4122 5132 8 15 23 33 Section 2.1 For Exercises 1 and 2, write an integer that represents each numerical value. 1. The plane descended 4250 ft. 2. The company’s profit fell by $3,000,000. For Exercises 3–6, graph the numbers on the number line. 3. 2 4. 5 5. 0 6. 3 6 5 4 3 2 1 0 1 2 3 4 5 6 For Exercises 7 and 8, determine the opposite and the absolute value for each number. 7. 4 8. 6 For Exercises 9–16, simplify. 9. 10. 11. 03 0 01000 0 074 0 12. 00 0 13. 192 14. 1282 15. 020 0 16. 045 0 For Exercises 17–20, fill in the blank with , , or , to make a true statement. 17. 7 18. 12 5 07 0 19. 142 20. 20 Section 2.2 For Exercises 21–24, add the integers using the number line. 04 0 020 0 6 5 4 3 2 1 0 1 2 3 4 5 6 21. 6 122 22. 3 6 23. 3 122 24. 3 0 25. State the rule for adding two numbers with the same sign. 26. State the rule for adding two numbers with different signs. For Exercises 27–32, add the integers. 27. 35 1222 28. 105 90 Chapter 2 Review Exercises
miller_prealgebra_2e_ch1_3
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