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Algebra Review and Triangle Practice.
Name: ________________________Date: __________________Period: ___
Find the distance between each pair of points and write an equation in pointslope for each pair.
Find the area and perimeter of the triangle shown.
Parallel or Perpendicular?
Write one linear equation that is parallel and one that is perpendicular to the
equation given.
1. y=7x+4
2.
5
y   x2
8
3. y = 1.5x-6
Find the slope of a line that is parallel to each line whose equation is given.
5. y = 4x – 3
6. y = 5 – 2x
7. y = 8
8. 3y = 9 – x
9. 5x + 2y = 4
10. y = -x – 7
11. 2y = 3x – 8
12. y =
1
x–4
2
13. 5y – 10x = -5
Find the slope of a line that is perpendicular to each line whose equation is given.
1
3
14. y = 2x – 5
15. y = - x – 9
16. y = 2 – 5x
17. 6y + 18 = x
18. 3x + y = 1
19. y =10
State whether the graphs of the following equations are parallel, perpendicular or
neither. Solve for y first if necessary.
20. y = 2x
y = 2x – 4
2
x–6
3
3
y+ x=5
2
21. y =
22. y =
1
x + 10
5
y – 5x = -2
Write an equation of a line that is perpendicular to each line shown.
23.
24.
________________________
______________________
Write an equation of a line that is parallel to each line shown.
25.
________________________
26.
______________________
Name: __________________________________
Integer
Perfect Square
Date: ________
“SIMPLIFYING” RADICALS
List the perfect squares of each integer 1-10.
1
2
3
4
5
6
7
8
9
25
49
10
Simplify.
Example:
300 
100  3  10 3
1.
45
Factor out
Simplify.
the largest
perfect square.
2. 27
3. 90
5.
75
6.
18
7.
125
4.
56
8.
80
Example:  51   4  17  2 17
9.  60
10.  144
11.  125
12.  54
Example: 5 162 =5 (81)(2)  5 * 9 2  45 2
13. 11 54
14. 6 100
15.  4 121
16.  7 81
17. 100 128
18.  20 121
19. 7 52
20. 8 144
11
12
More Practice with the Pythagorean Theorem
Solve for the missing side using the Pythagorean Theorem.. Round answers
to the hundredths place.
10.
11.
15
7
9
x
17
x
x = __________
x = __________
12.
13.
5
x
x
5
14
6
x = __________
x = __________
14. a = __________, b = 10, c = 11
15. Your kite is flying above a position 85 meters away from you on the ground
and has run out 115 meters of string. How high up is the kite?