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 expressed 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 degree of the monomial : 8x³y⁴z

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

19. Combine like terms . 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