1. Refer to the connection at the beginning of the lesson.
A. Which of the substance listed will float on water?
B. State the domain and range of the graphed relation.
2. Show why (1, -1) is or is not a solution of x + 2y = 3
3. Determine which of the points shown in the graph below represent ordered pairs that are solutions for y = 2x + 1.
4. Explain why, in Exercise 3 (done in class), you only consider values greater than zero.
5. Why should you solve for y before finding ordered pairs that are solutions for an equation?
6. In your own words, explain the difference between an independent variable and a dependent variable and how you know on which axis to graph each of them.
7. Solve the given equation for the domain given in the table
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| -2 | ||
| -1 | ||
| 0 | ||
| 1 | ||
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8. Which ordered pairs are solutions of the given equation?
1 + 5y = 2x
a. (-7, 3)
b. (7, 3)
c. (2, 1)
d. (-2, -1)
9. Find the solution set for x + 2y = 14 if the domain is {-2, -1, 0, 1, 2}. Then graph the solution set.
10. The formula for the area of a rectangle is A = l*w. Suppose the area of a rectangle is 36 square meters.
a. Solve the equation for l.
b. Choose five values for w and find the corresponding values of l.