Math Midterm

MA 104 Midterm Examination Name____________________________

1. Describe in your own words the meaning of the term linear model.

2. List all the elements of B that are elements of the given set.

  

  

 4 , 1

0 ,0 18, ,8 7,B Integers

3. Convert the mixed number to an improper fraction.

8 5

3 =

4. Convert the improper fraction to a mixed number.

5

34 =

Perform the indicated operation. Where possible, reduce the answer to its lowest terms.

5. 9

7 ∙

6

1 =

6. 12

5

7

1  =

7. 2

1

7

5  =

8. Express the rational number as a decimal.

8

7 =

9. Find the absolute value.

∣-17∣ =

10. Perform the indicated subtraction.

12 – ( -5) =

11. Perform the indicated multiplication.

(- 32)(-1) =

12. Evaluate the exponential expression.

2

5 =

13. Evaluate the following expression.

14. Simplify

15. Express the decimal as a percent.

0.33 =

16. Express the percent as a decimal.

14% =

17. What number is 4% of 200?

18. Solve: The formula P = 0.45x – 69 describes profit for a certain vendor when the vendor

sells x pretzels. Evaluate the algebraic expression when x = 1000 to find the profit that the

vendor makes from selling 1000 pretzels.

19. Evaluate the expression for a = - 6, b = - 2, c = 5

20. Find the slope passing through the points (3, -8) and (5, -2). State whether the line is

increasing, decreasing, horizontal or vertical.

21. Determine the slope and y-intercept of the equation below.

22. Determine whether the below listed pair of lines is parallel, perpendicular, or neither.

23. Let y be the cooking time of a turkey that weighs x pounds. A model of the situation is:

y = 0.24x + 1.64. Estimate the cooking time of a 19-pound turkey.

24. Determine whether the ordered pair is a solution of the given equation.

( -3, 2) y = x + 5

25. Use the graph to identify the x- and y- intercepts or state that there is no x- or y-intercept.