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Honors Algebra 1 Summer Assignment Below is a list of vocabulary that you should already know and are expected to know before starting school: Variable Positive numbers Negative numbers Natural numbers Whole numbers Integers Rational numbers Irrational numbers Square root Perfect square Real numbers Absolute value Additive inverses Multiplicative inverses Percent Permimeter Area Volume Surface area Probability Mean Median Mode Frequency table Line graph Circle graph Factors Product Exponent Base Order ofoperations Commutative property Associative property Distributive property Like terms Simplest form Coefficient Expression Equation Solution Ordered pair Relation Function Domain Range Symmetry x-intercept y-intercept x-axis y-axis quadrants Below is a list of processes you should already know how to do: Add, subtract, multiply, divide - includingfractions, mixed numbers and decimals. Simplify expressions using order ofoperations. Combine like terms. Plot ordered pairs on the coordinate plane. Properly draw, label and scale the x-y coordinate plane. Raise numbers to powers. Translate English statements to mathematical expressions or equations and vice-versa. Construct and interpret line graphs, circle graphs, bar graphs, and scatter plots. Set and solve problems involving ratios and proportions. The following problems should be completed before the first day of school. If you are not sure how to do a particular problem, you should go to a reliable mathematical website such as KhanAcademy.org. No problem should be left blank. Some attempt/answer is expected for each problem. You may use a calculator to assist you. Basic steps should be shown. Computational work such as adding, subtracting, multiplying and dividing need not be shown. The calculator we will use in class is Texas Instrument - either the TI-83 or TI-84 is fine. SECTION 0-2 Name the set or sets of numbers to which each real number belongs. 1. -v'64 2. 8 3" 3. v'28 4. ~ 7" Graph each set of"humbers on a number line. Then order the numbers from least to greatest. 7 13. {5' 3:3 6} -5' 4' -5 I 7 1 4} 14. {2' -9' 9' -9 Simplify each square root. 23. -v'25 26. VO.64 29.1f§ SECTION 0-5 Give answers as fractions only. Name the reciprocal of each number. 6 25. 7 14 27. - 23 29. -st1 15. {2i' V7, 2.3, vB} (fractions) Find each quotient. 2 . 1 31 . 3 -:- 3 3~.!. 33• 2 . 2 35. -io + 3 37. 2~ + ; SECTION 0-6 Translate and solve. 10. 25 is what percent of I25? 12. 14 is 20% of what number? 14. What number is 250ft) of I8? 16. 'What percent of 48 is 30? 18. 5% of what number is 3.5? 20. Find 0.5% of 250. 30. TEST SCORES The table shows the number of points each student in Will's study group earned on a recent math test. There were 88 points possible on the test. Express all answers to the nearest tenth of a percent. Will 72 Rob Penny ...............---_. 68 81 a. Find Will's percent correct on the test. b. Find Cheng's percent correct on the test. c. Find Rob's percent correct on the test. d. What was the highest percentage? The lowest? 75 SECTION 0-7 Find the perimeter of each figure. Round to the nearest tenth. [5~ 17. 2A= [ 18. 3 in. (,;, I I • I I I 3.5cm 19'0 20. 4ft ~ 3m Section 0-8 Find the area of each figure. Round to the nearest tenth. 21. S.2em 22. 4.1 em 23. 2.9<:m 1.2em 3.5em Ii a.Oem " 2.6em Section 0-9 Find the volume. 18. 6.2m 8. 12 in. 2in. SECTION 0-10 Find the surface area. 10. 5 mm 8mm 12. 6.2 em SECTION 1-2 Simplify the expression - show all steps. 45. 314 8 + 4 2(2 + 5)] 2 2 - 2 • 8 46. 2· 8 2·8 47. 25 + [ (16 - 3 . 5) + 12; 3] 48. 73 - ¥13 ·6+ 9)4 SECTION 1-4 Simplify. 27. (4 - 3m)8 28. -3(2x 6) 32.. 5z 2 + 3z + 8z2 33. (2 - 4n)17 34. 11(4d + 6) 35. 7m + 2m + 5p + 4m 36. 3x + 7(3x + 4) 37. 4<t:.~ + 3g) + 5g