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# Math 118 Practice test

1. Give an example of an irrational number________, a rational number _______, and integer_____, a natural number.

2. True or false: .121212… is a rational number.

3. True or false: Every real number is rational.

4. True or false: Every integer is rational.

Use the distributive property to multiply, then collect like terms:

7. is an example of the ______________ law of multiplication.

8. is an example of the ______________ law.

9. is an example of the ____________ law of multiplication.

Evaluate:

Rewrite using positive exponents only:

Write in scientific notation:

21. 0.000000014

22. 520,000,000,000

Write in decimal notation:

Solve for x:

29. Evaluate the expression for

30. Evaluate the expression for

Solve the inequality. Write your answer as a set, in interval notation, and graph the solution.

**Math 118 Practice Test 2**

Solve for x:

3. A vertical line has slope _______ and a horizontal line has slope ________.

4. The equation of the x-axis is __________ and the equation of the y-axis is _____.

5. The equation for a vertical line through (2,3) is _______ and the equation for the horizontal line through (2,3) is ___________.

6. A line perpendicular to a line with slope 2 has slope _____, and a line perpendicular to a line with slope 2/3 has slope __________

7. The equation for the line with slope –3 and y-intercept 6 is ________

8. Find the equation for the line with slope 1/2 through the point (-5,4)

9. Find the equation for the line through the points (-1,3) and (3,1).

10. Find the equation for the line through the point (2,5) perpendicular to the line

11. Determine whether the ordered pairs represents a function. (Answer: yes, because no first number is repeated.)

12. What is the domain of the function above?

13. What is the range of the function above?

14. If the function above is called f, what is ?

15. Every line determines a function except a ________ line.

16. Let with domain [-3,7]. What is the range of this function?

17. For the function above, what is ? (Partial answer: doesn’t exist because –4 is not in the domain of f.

18. The picture represents a function because it passes the ________ test.

19. If the picture represents the function f, then the domain of f is ______ and the range of f is _____.

20. For the picture above,

21. Give an example of a polynomial of degree 3 with leading coefficient 4 and constant –5

22. For the polynomial the degree is ____, the leading coefficient is _____ and the constant is ______.

23. If you add a polynomial of degree 4 to a polynomial of degree 3 the degree of the sum will have degree _____

24. If you multiply a polynomial of degree 4 to a polynomial of degree 3 the degree of the product will be ____.

25. Add

26. Subtract:

27. Multiply:

28. Multiply:

29. Multiply:

30. Divide:

31. Factor out the greatest common factor:

32. Factor by grouping:

Math 118 Practice Test 3:

1. For the polynomial the degree is ______, the leading coefficient is _______, and the constant is __________.

2. Give an example of a polynomial of degree 2 with leading coefficient –1 and constant 7

3. Rewrite the polynomial in standard form.

4. For the polynomial in number 3, the degree is _______, the leading coefficient is _______ and the constant is ______.

5. Add:

6. Subtract:

11. Divide:

12. Factor:

13. Factor the perfect square:

14. Factor the difference of two squares:

15. Factor the difference of two cubes:

16. Factor the sum of two cubes:

17. Graph by using the following steps:

18.

19. Does the parabola open up or down? _______

20. How can you easily tell? Because _______

21. The vertex is ( ___, ___)

22. The y-intercept, i.e. the point where the graph crosses the y-axis is ( ___, ___)

23. The x-intercepts, i.e. the points where the graph
crosses the x-axis are ( ___, ___)

and ( ___, ___)

24. Plot the points above, and graph the parabola.

25. If the vertex of a parabola is lies above the x-axis and the parabola opens downward, how many x-intercepts will it have? ________

26. Evaluate the numbers:

27. Write in simplest radical form:

28. Solve for x: