# Math 1205 Practice Midterm

1. Plot the points A(-4, 6) and B(3, -5) on a rectangular coordinate system and label them.

2. Graph the line by the ordered pairs method , obtaining ordered pairs for x-values of 3, 0 and -3.

3. Graph the line .x=4

4. Graph the line 2x-3y=12 by the slope-intercept method. Clearly identify the slope and the y -intercept.

5. A sales associate earns 4% commission on sales plus a base salary of \$1200 per month.
This relationship can be ex pressed by the equation G =0.04S + 1200, where G is gross
salary and S is sales. Graph this equation by the ordered pairs method, obtaining
ordered pairs for sales of \$0, \$5000 and \$20,000.

6. Find the slope of a line that passes through the points (-4, 5) and (2, -3).

7. Find the equation of the line that has a slope of -7 and an y-intercept of . Write the
equation in slope-intercept form.

8. Find the equation of the line that has a slope of -3 and passes through the point (2, -1).

9. Find the equation of the line that passes through the points (5, -3) and (1, 0).

10. Evaluate the exponential form:(14)−1

11. Evaluate the exponential form:-52
12. Evaluate the exponential form:

13. Write the number in standard form: 1.85 x 106

14. Write the number in standard form: 3.48 x 10−4

15. Write the number in scientific notation: 54,600,000,000

16. Write the number in scientific notation: 0.000000076

17. Identify the Simplify ing-monomials-on-ti84.html">degree of the monomial : 8x3y4z

18. Identify the degree of the polynomial and write it in descending order:
16 – 3x8 + 5x6 – 4x2

19. Add ing-matrices/permutations-and-combinations.html">Combine like term s . Write the resulting polynomial in descending order:
16x3 – 15x2 + 10x – 8 + 12x2 – 3x

20. Add. Write the resulting polynomial in descending order.
(5r6 + 6r4 – 3r2+ 7) + (-9r4 – 8r6 – 5)

21. Subtract . Write the resulting polynomial in descending order.
(2m3 – 5m2 + 3m – 7) – (6 + 8m – 6m2 + m3)

22. Simplify:-5x.3x7

23. Simplify:

24. Simplify:

25. Simplify: (6ab3c5)(-a4b8)

26. Simplify: 5m7(3m3 – 2m2 + 1)

27. Multiply . Write the answer in scientific notation. (-7 x 1012)(3.1 x 1013)

28. Divide . Write the answer in scientific notation. (4.2 x 1014)/(8.4 x 10-20)

29. Factor by the GCF method: 18x4y3 + 12x2y

30. Factor by grouping : 3xa – 3xb + 2ya – 2yb

1205 Practice Midterm #3 – Answers

#1 – 5 Graphing Answers: SEE LAST PAGE

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