Name______________________________Date_____________________Period___________
P. 1
Midterm Review # 1 -Chapter 1-3
Function
a. Tell which family it
Function???
belongs to………
Yes or No
Linear, Exponential,
Absolute-value,
Quadratic,
1. f ( x)  2 x2  4
b.
2. g ( x)  3x
c.
3. f (m)   6x  8
d.
4. g ( x)   9 x2  5
e.
5. h(t )  4 x  3
f.
6. f ( x)  5
g.
Draw the graph of
the equation.
Increasing or
Decreasing
Absolute maximum,
absolute minimum,
or none.
Evaluate each equation in # 7-10
7.
1
f (4)   x  7
2
8.
h(2)  5t 2  1
9.
f (n)  6x  4, if n  3
10.
f ( x)  44x  2x  3, if x  1
Use the table to answer questions #11-17.
Hours
worked
0
2
4
6
Wage
earned
$ 5.00
$24.00
$ 43.00
$62.00
11. What is the independent
unit?
14. What is the rate of
change?
12. What is the dependent
unit?
15. What is the unit rate?
13. What is the y-intercept?
16. Is this a function? _______
If so, what type?
17. Write a scenario to match this function.
Using this set of ordered pairs, answer questions #18-20.
(-3,5), (-4,6), (0,8), (-3,7), (-4, 2), (-2, 5)
19. What is the y-intercept?
18. Do these ordered pairs represent a function? Why or why not?
20. In what Quadrant would these ordered pairs be plotted?
21. Using these values, which table does not represent a function? And why?
4
5
6
2
3
4
4
5
6
4
7
4
4
5
4
2
3
4
4
5
6
2
2.1
2.2
22. Complete this table to represent a linear function
x
1.35
2.35
y
4.1
5.1
23.
Find f (7), if f ( x)  4 x2  3x  2
P. 2
3.35
7.1
24. It costs Charlotte $10 in supplies to clean a home. If she charges $50 per 500 square feet, how much
would Charlotte make if she cleans a 3500 square foot home. Let t = square feet. Write an equation for this
scenario and solve.
25. A family will have to drive 880 miles one-way on a vacation to the beach. They have already gone 143 miles.
How long will it take this family to get to the beach from this point, if they drive at a constant speed of 65 mph?
26. Solve for x.
3(4 x  2)  7  x 10  9 100
27. Solve for y.
28. Solve for x.
9 y  6  3  y  7 
Write each of these equations in slope-intercept form. #29-32
29.
4x  7 y  28
30.
1
x  2y  8
2
31.
y  mx  b
9x  27  3 y
32.
1
3
x  4
2
4
14 y  0  2 x
Write each of these in standard form. (Remember to get rid of the fractions. Integers only.) # 33-35
33.
3
y x  6
4
34.
y   8x  2
35.
1
1
y  x 
2
4
Ax  By  C
Graph these inequalities on a number line. # 36-39
P. 3
36.
5  x  10
37.
x  2 or x   9
38.
3  2 x 1  7
39.
5   x  1  6
40. Sarah really wants to go to Paris for the summer vacation that costs $3000. She has already saved up $750.
Sarah is also tutoring for $25 per hour. What is the least number of hours Sarah must tutor to have enough
money for her Paris vacation? Write an inequality and solve it.
41. Find the solutions for this inequality.
2  x4 7
Using the graph, answer #43-45.
43. What is the x-intercept?
44. What is the y-intercept?
45. Write the equation of the line in slope-intercept form.
42. Solve for the x-intercept in this equation:
6x  7 y  9