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Name _________________________________________ Algebra I – Pd ___ Cumulative Review Easter Assignment Part 1 1. Write the expression so that it contains only positive exponents: s-7 t-3 u-4 2. Solve for v in the equation C = 9u²v 3. The daily cost of renting a car is $20 plus $.30 per mile traveled. If Katie paid $89.60 for a day’s rental, how many miles did she travel? 4. Find 3 consecutive odd integers whose sum is 33. 5. The formula for the circumference of a circle is: a) C=2πr b) C=½bh c) C=πr² 6. Name all the sets which the following numbers belong to: a. -3 b. 3 c. π d. 2.553 d) C=lw e. 0 7. List all the Pythagorean Triples. 8. Which Property or Identity is shown? A) 5 ∙ 10 = 10 ∙ 5 B) 4 ∙ (8 ∙ 3) = (4 ∙ 8) ∙ 3 D) 13 + 0 = 13 E) 29 ∙ 1 = 29 9) a) What is 75% of 60? c) What percent of 320 is 8? C) 2(4 + 7) = 2(4) + 2(7) b) 12% of what is 15? 10) 3x (12x² + 2x – 4) + 4(3x² - 8x + 2) = 11) (6x4 + 5x² + 4) – (5x4 + 6x² + 3) = 12) Evaluate: .a) 23 · 16 – 10 ÷ 2 b) 3² x 15 + 90 ÷ 10 13) What is the slope in the line – 4x + 3y = 6? 14) Solve for x: |2x + 2| = 5 15) Solve for x and graph on a number line: -2 < 3x + 4 < 13 Part 2 1a) Find and graph the line that goes through points (2,4) (-6, -12) b) Find and graph a line that is parallel to the line in A and goes through pt (5,7) c) Find and graph the line that goes through pt (-6, -15) and is perpendicular to A 2) Factor: a) x² + 13x + 36 b) 9x² - 81 c) 12x²y5z3 + 48x3y² - 24x4y6z4 d) 6x² - 216 e) 2x² + 4x + 2 f) x² + 25 3) Solve for x: a) 2x2 + 13x = -15 c) 6x² - 5x – 4 = 0 b) 2m2 = 12 – 2m d) 8x² - 30 = 8x 4) Solve the following equations algebraically and check: a) 5x - 6y = 19 b) -5x + y = 6 4x + 3y = 10 2x – 3y = 60 5) Solve the following equations graphically and check: a) y = 2x + 4 b) 2x + 3y =18 x=y–5 x–y=4 6) Solve the following system of inequalities graphically: a) -4x + 2y < -2 b) -x + 3y < 12 -2x + y > 3 y>-x+4 7) a) A jar of change has $15.35 in it. There are 4 dimes less than twice the amount of nickels and 3 more quarters and triple the amount of nickels. How many nickels, dimes and quarters are in the jar? (There are no pennies) b) A 30-minute phone call cost $4.49. Introductory minutes cost $.19/minute and additional minutes cost $.08/minute. How many minutes were billed at each rate? c) Find 5 consecutive numbers such that the sum of the 2nd and 4th is 56. Name _________________________________________ Cumulative Review Algebra I – Pd ___ Easter Assignment Assignment – Answer ALL questions from worksheet. For Part 1, you must show all work on looseleaf, number your work and keep in order. Part 2, answer questions on looseleaf or graph paper. Staple your work together in order, with this page being the first. Fill in your answers below. Assignment is due Monday April 16th by 8:30am. There will be a box outside E013. No work will be accepted late. This will be graded. Part 1 – (don’t forget to show work for part 1 and staple it to this sheet) 1. __________ 2.__________ 3. __________ 4. _______________ 5. ______ 6. a) _________________________________________________________ b) _________________________________________________________ c) _________________________________________________________ d) _________________________________________________________ e) _________________________________________________________ 7. _____________ _____________ ______________ _____________ _____________ 8. a) ______________ b) ______________ d) ______________ e) _______________ 9. a) ____________ b) _____________ 10. ________________ 11. ______________ 12. a) ______________ b) _______________ 13. _____________ 14. _______________ c) ____________ c) ___________ 15. Part 2 – show all work on looseleaf and graph paper and staple to this sheet