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ALGEBRA II-CP
Review - Ch. 1, 2,3
Name___________________________
Solve each equation.
1.
4(–6y + 5) = 23 – 3(8y + 1)
2.
4. 
3
x 9
4
5. 5t – 3 = -2t + 10
7.
3
1 1
s  s5
4
2 4
8.
5x + 2 = 2(x + 1)
x 8
 20
3
10. What is the y-intercept of the line whose equation is –6x + 3y = 15?
11. What is the x-intercept of the line whose equation is –3x + 5y = 9?
12. What is the slope of the line whose equation is 3x – 4y = 7?
13. Write x 
2
3
y
1
in standard form.
3
14. What is the slope of the line passing through (2, 6) and (-7, 8)?
3.
x6
 9
2
6. 2x – 7 – (x – 5) = 0
9. 2x – 3(x + 2) = -2x - 8
15. For which pair of equations are the lines perpendicular?
1
A. 2x – y = 1 and y  x
B. 3x + 2y = 1 and 2y = 3x + 8
2
C. y = 2x and y = -2x
D. 5x + 2y = 10 and 2x – 5y = 10
16. For which pair of equations are the lines parallel?
A. 5x + 3y = 15 and 3x + 3y = 15
B. x + 2y = 7 and x = -2y + 10
Find the equation of the line in any form satisfying the following conditions.
17. Passes through ( 1 , 4 ) and is parallel
to -5x + 2y = 7
18. x-intercept = -1
y-intercept = 5
19. Passes through ( -2 , 1 ) and ( -6 , -4 )
20. m = 0 passes through ( 3 , -1 )
21. Passes through ( 0 , 5 ) and is perpendicular to y = 6x - 4
22. Slope is
3
and passes through ( 6 , -1 )
4
Solve by these systems by graphing by hand (please sketch graph).
x  3y  3
23. 2 x  y   1
24.
1
y x3
y x4
3
Solve by substitution
25. y = 2x - 7
3x – 4y = 8
26. 6x + 7y = 18
x+y=5
27. x + 2y = 12
3x + 6y = 19
Solve by elimination
28. 2x + y = 6
3x - y = 19
30.
29. 3x + 4y = 18
4x – 5y = -7
x + 2y = 8
-5x – 10y = -40
31. For which system are there infinitely many solutions?
A. 3x + 5y = 7
6x + 10y = 14
B. x – 5y = 7
2x = 10y + 15
C. 3x – y = 8
3x + y = 10
D. 2x – y = 1
y = 2x – 3
Define TWO variables, write TWO equations and solve by substitution or elimination. Show all work for full credit!
32. The sum of two numbers is 102. One number is three less than twice the other.
What are the two numbers?
33. At McDonald’s, 2 burgers and 2 fries cost $4.00. If you order 3 burgers and 4 fries it cost $6.75.
How much does one burger cost? One order of fries?
34. The perimeter of a rectangular garden is 180 ft. The length of the garden is 30 more than 5 times the width.
What are the dimensions of the garden? (You must have two equations!)
35. Ticketmaster sells pavilion and lawn tickets to Pine Knob. A total of 5,000 tickets were sold for a concert. The pavilion
tickets cost $20 each and the lawn tickets cost $15 each. The sales for all tickets totaled $82,500. How many of each type of ticket
were sold?