1.
a. Explain why you think winning times in the 800-meter run for men and women are growing closer.
b. Use a table to show how women's winning times in the 800-meter run could catch up to men's winning times in the same race.
c. Do you think the times will ever be the same? Why or why not?
2.Describe the difference between an identity and an equation with no solution.
3. You Decide Lauren says that to solve the equation 2[x + 3(x - 1)] = 18, the first step should be to multiply 2 by [x + 3(x - 1)]. Carmen says the first step should be to multiply 3 by (x - 1). Which one is correct, and why?
4. Assess Yourself Describe your favorite sport and explain how math is used in it.
Explain how to solve each equation. Then solve each equation and check your solution.
5. 3 - 4x = 10x + 10
6. (3/5)x + 3 = (1/5)x - 7
7. 5.4y + 8.2 = 9.8y - 2.8
8. 4(2x - 1) = -10(x - 5)
Define a variable, write an equation, and solve each problem. Then check your solution.
9. Twice the greater of two consecutive odd integers is 13 less than three times the lesser. Find the integers.
10. The measures of the angles of a triangle are given as 6x degrees, (x - 3) degrees, and (3x + 7) degrees. What are the measures of each angle?