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).
| 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) | ||