1. Complete each of the following tables, then use the table to neatly graph TWO of the equations on graph paper. a) y = 3x - 1 b) y = x2 - 2x + 1 c) y = 3x + 1 d) y = - x 2. The figures below show progressively larger stacks or arrangements of cubes. a) Copy and complete the table below. b) In terms of the arrangements of cubes, what is happening from one arrangement to the next? c) Now examine the numbers in the table. In words, what is the pattern? d) Write an algebraic rule to show the relationship between y, the number of cubes, and x the figure number. 3. Make a Guess and Check table to solve the following problem. A rectangle has perimeter 48 feet. The length is three times the width. Find the length and width of the rectangle. (Remember, the perimeter of a rectangle is the sum of all four sides.) 4. Mark and label a point for each of the following: R - Ray, who is very tall but can't jump very high. S - Sarah, who isn't very tall but can jump very high. T - Terry, who is a bit taller than Sarah but jumps only a little better than Ray. U - Ursula, who is taller than Terry but can't jump at all (she's 85 years old). 5. Solve each of these Diamond Problems: Complete either #6 or #7. You do not need to do both problems. 6. Find the area of the shaded region. Show all subproblems. 7. Find the area of the shaded region. Show all subproblems. 8. Use the Distributive Property to rewrite each of the following expressions. a) 4(x - 5) = c) -7(2x) + -7(10) = b) -3(6 - x) = d) y(x) + y(3x) = 9. Combine like terms. a) 9x + 6 - 4x - 2x + 1 - 15 c) (6x2 - 2x + 5) + (2x2 - 7x - 11) b) 5(x + 1) + 2(x + 3) d) 7x2 - 5 - 2x - 3 + 5 10. Simplify the following expressions using the correct order of operations. a) 12 - 18.5 + 15 + 6.3 - 1 + 28 c) 23 - (17 - 3·4)2 + 6 b) (-4)(-2) - 6(2 - 5) d) 14(2 + 3 - 2· 2) / (42 - 32)
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