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Algebra 2 Fundamentals Review
Name _________________________________________________Hr_______
Solve.
1.
2. 8(z – 6) = –16
3. 5x + 22 = 7x + 10
4. 5 = –(x + 4) + 2(x + 1)
Solve the formula for the indicated variable.
5. Solve for h:
6. Solve for t: I = Prt
7. Solve for h: V =
1
Bh
3
8. While on vacation you take a taxi from the airport to your hotel for $21.85. The taxi costs $2.95 plus $1.35
per mile. How far is it from the airport to the hotel?
Solve and graph.
9. 12 – 5x > –13
10. 3 < 2x + 11 < 17
12. Find the slope of following lines.
a. x = 3
m=
b. y = 6
m=
13. Given: line 1 through (4, 6) & (2, 5)
11. 3a + 1 < -2 or 3a + 1 > 7
and line 2 through (2, 3) & (1, 9)
a. Find the slope of each line and state whether the line rises, falls, or is horizontal or vertical.
m1 = __________ ______________
m2 = ____________ _______________
b. Are the above lines parallel, perpendicular or neither?
Find the equation of the line with the given properties. Write answer in slope-intercept form.
14. slope = 5,
15. slope = 2 and
16. through (2, 3) & (4, 2)
y-int.= 2
through (3, 1)
17. through (1, 5) and parallel to y = 3x + 2.
18. through (1, 5) and perpendicular to y = 3x + 2
Graph and fill in the requested information.
19. x = 3
20. y = -
1
x+3
2
21. 2x  5y = 10
m = _______ y-int ______
22. y < 3
23. y > 4x  1
x-int ______ y-int ______
Solve using the SUBSTITION METHOD.
24.
2x – 5y = 9
y = 3x – 7
25.
3x – 7y = 10
x – 4y = 5
26.
x + 3y = 5
2x – 3y = 1
29.
2x – 7y = –10
3x + 2y = 10
Solve using ELIMINATION/LINEAR COMBINATIONS.
27.
5x + y = 6
–5x + 3y = 22
28.
6x + 3y = 3
8x + 4y = 5
Write a system of equations for the following problem and solve. Remember to define your variables and to
answer the question with a complete sentence.
30. A sporting goods store receives a shipment of 124 golf bags. The shipment includes two types of bags, full-size
and collapsible. The full-size bags cost $38.50 each. The collapsible bags cost $22.50 each. The bill for the
shipment is $3430. How many of each type of golf bag are in the shipment?
Simplify.
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40.