1. Factors: Write the pairs of factors for each of the following numbers:

Transcription

1 Attached is a packet containing items necessary for you to have mastered to do well in Algebra I Resource Room. Practicing math skills is especially important over the long summer break, so this summer assignment is meant to be completed over the entire summer, not all at once. Aim to spend around minutes each week completing these problems. The entire assignment should take around 3-4 hours at most. This packet must be completed by the second day of the A/B cycle. So for example if you have math on the first day back (September 5 th ) the packet must be handed in on the 7 th. The packet will be graded on effort and will be assigned a minor assessment grade. Your teacher will review the packet and all the concepts and may follow up with an additional assessment. If they choose to test you on this material, they will let you know during your first class period. No late submissions of the summer assignment will be accepted, so please be prepared to hand it in on time. Enjoy your summer. PS: A good website to check out if you need some help would be or 1. Factors: Write the pairs of factors for each of the following numbers:

2 Example: a) 48 b) 72 Give the factor pairs of 12: Find the Greatest Common Factor (GCF) of each of the following pairs of numbers: a) 12 and 20 b) 54 and Name the following as a fraction in simplest form: a) 45% b).125 c) Computations with Whole Numbers and Decimals a) Subtract from b) Find the quotient of 2.61 and 0.9 c) What does x 100 = d) What is the product of 5.2 and 7.3?

3 5. Decimal Comparisons: Fill in the blank with the symbol that makes the statement true <, >, or =. a) b) c) d) Convert the following to a decimal: a) 7 = b) 5.6% = 8 7. Percentages a. What is 85% of 800? b) 44 is what percent of 132? c) 90 is 75% of what? D) What is 5% of 40? 8. A city youth program has a total yearly budget of $220,000. Of the total budget, 17% is spent on administrative costs, 25% is spent on supplies, and 30% is spent on art programs. The rest of the budget is spent on sports programs. How much is spent on sports programs? 9. Connie got 18 out of 30 questions correct on her test. What is this as a percent? 10. Sally purchased a sweater on sale for 30% off. If the original price is $45.00, then how much did she save with the sale? Ratios and Proportions 11. If the ratio of oil to vinegar in the salad dressing is 2 to 3, which of these should be used?

4 a) 4 parts oil, 8 parts vinegar b) 1 part oil, 2 parts vinegar c) 10 parts oil, 30 parts vinegar d) 9 parts oil, 13.5 parts vinegar Scientific Notation 12. Write the following in Scientific Notation: a) 15,109,000,000 b) Write the following in standard form: a) x 10 4 b) 4.5 x Fraction (Express answers as fractions only. DO NOT use a calculator.) Show all work. a) b) c) d) Order of Operations: a) b)

5 Choose a matching term from the word bank for # 26 32: 16. A number that replaces the variable in an equation to make the equation true. 17. The point where the x-axis and the y-axis intersect on a grid. 18. A sentence that uses mathematical symbols instead of words. 19. The distance of a number from zero on the number line. A. Absolute values B. Integers C. Coordinates D. Origin E. Variable F. Solution G. Linear equation H. Terms I. Expression 20. The variable and the numbers in a mathematical expression. 21. A letter used to represent a number in a mathematical expression. 22. Positive numbers (1,2,3 ), negative numbers (-1, -2, -3, ), and zero. : 23. Perform the indicated operations without using a calculator: a) = b) (-3)(-2)(-5) = c) 20 (-18) = d) (-40) (-8) = e) (-1) 9 = f) =

6 24. Combining Like Terms a) 15 n + 2n 8n b) 9x+ 6 5x c) -4(2x +7y) d) 3(y + 6) 25. Solve One Step Equations a) z 7 = -3 b) p + -7 = 9 d) 17 = x Evaluate the following expressions for each given value of x: x = 4 and x = -3 a) 2x b) x 2 c) x + 6 d) 5x 3 Algebraic Representation Translate each of the following into symbols. Let x = the number. Three more than five times a number. Twice a number decreased by seven. Twelve less than eight times a number.

7 Twenty decreased by four times a number. Fifty increased by three times a number. The product of three and a number. The sum of triple a number and seventeen. The difference of fifty and ten times a number. The quotient of fifteen and twice a number. Eight less than the product of five times a number. 5x 2 x + 1 3x + 1 x 4 9/x