Use the Triangle at the Right. Find the Length of the Missing Side

Algebra Review for Incoming Geometry

Use the triangle at the right. Find the length of the missing side.

1. a = 16, b = 63 2. b = 2.1, c = 2.9 3. a = 65, c = 97

4. How long is the diagonal of a 9-in. by 40-in. rectangle?

5. A car travels 28 miles north and then turns east. How far did the car travel east if the destination is 53 miles from the starting point?

Simplify each radical expression.

9. 10. 11.

12. 13. 14.

Find the slope of the line that passes through each pair of points.

15. (–3, –1), (–1, 5) 16.

Graph each equation.

17. x + 2y = 6 18. 19. y – 2 = –2(x – 3)

Write each equation in slope-intercept form.

20. 6x + 9y = 27 21. 7x = 3y – 12

22. In 2005, a Caribbean nation produced 0.7 million tons of cane sugar. Annual
production was projected to decrease by 0.05 million tons each year for the
next five years. Write a linear function that models this situation.

Find the x- and y-intercepts of the graph of each equation.

23. 6x + 12y = 24 24. –5x + 3y = –24

Write an equation in point-slope form for the line that has the given slope m
and that passes through the given point.

25. 26. m = –2; (0, 1)

Write an equation in slope-intercept form for the line that passes through the
given points.

27. (2, 3), (1, 5) 28. (5, –2), (–16, 4)

Solve each equation. Check your answer.

29. 7y + 5 = 3y – 31 30. 31.

32. A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour?

Simplify

39.If , which expression has the greatest value?

A. z–6z4 B. (z–2z5)–2 C. (z3)5 D. –(z2z–4)–3

Determine whether each number is in scientific notation. If it is not, write it in scientific notation.

40. 4.8 × 104 41. 119 × 10–3

42. –7 × 1011 43.

Solve each problem using scientific notation.

44. At the end of 1993, there were 109 nuclear power plants operating in the United States. These plants generated a total of 6,520,000,000,000,000 Btu (British thermal unit) of electric power in 1993. How much energy was generated per plant?

45. A red blood cell is 0.000007 m in diameter. There are about 20,000,000,000,000 red blood cells in a 125-lb person. If all of the red blood cells were lined up
end to end, how long would the line be?