Download Algebra Review #2

Algebra Review #2 Equations, Percents, and Data
1. Which point lies on the line x + 3y = 12?
Name________________________________ Hr__
Circle one: (4, 0)
(2, 3)
(0, 4)
*You can test by plugging in the x- and y-values.
2. A plumber charges $50 for a house call plus $75 an hour for any work that needs to be done.
Write an equation that would represent this data. Use y for cost and x for hours.
If the bill came to $425, how many hours did the plumber charge you for the work?
3. Find the equation that represents this table:
x
0
1
2
3
y
30
40
50
60
4. Write an equation of a line that passes through the point (5, -2) and has a slope of 4
Find the equation of the line that goes through these two points: (You can use the formula) y – y1 = m (x – x1)
5. (4, 5) (2, 1)
7. Write any equation of a line parallel to y =
6. (2, 5) (-6, 9)
1
x3
2
Amount a person earns (in thousands) per year of work for a company
8.
What would be a good equation of a line for this?
a. y = -5x + 2
b. y = -5x + 30
c. y = 5x + 30
d. y = 5x + 2
9. Based on your answer to problem number 8,
Predict how much you would earn in 8 years.
Percents:
is
%

of 100
10. 30 is _____ % of 120
11. 7% of 40
12.
24 is 40% of what number?
13. On your last test your score was 64 out of 80. What was your percent?
Define the following terms.
14. Mean
15. Median
16. Mode
Solve and graph (on a number line) the following inequalities:
17. x + 5  3
18.
Solve the following compound inequalities:
20.
5 < 3x – 1 < 17
22.
–7–x < 3
21.
19.
2x + 3  6x – 1
3x – 4 < 20 OR -2x – 1 < -21
The fastest time recorded for the 100m dash is 9.58 seconds.
Write an inequality for all the other times. Use “t” for all the other times.
Solve the following absolute value equations.
23.
| x | = 19
24.
| x–7 | = 4
25.
| 2x + 1 | = 9
Simplify by combining like terms.
26. 7x 2 – 8x + 5x – 3 + x 2 – 1
27. ( 8x2 – 7x + 1 ) + ( 4x2 – 10 )
28.
( 8x2 – 4x – 3 ) – ( 10 x2 + x – 5 )