Download ALGEBRA 2 MATH PACKET Combine like terms. 1. 7(x – y) – 5(2x +

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ALGEBRA 2 MATH PACKET
Combine like terms.
1. 7(x – y) – 5(2x + 4y)
2. 3[2(-y2 + y) – 3] – 3(2x + y)
3. –3(4x + -2y) – 2(x + 3y) – 2(2x + 6y)
Solve the following.
4. 7 + 22(5 + 2) =
5. 72 – 2(4 • 3 + 7) =
6. 2(f + 7) – 8 = 22
7. 4(t + 5) – 3 = 6t - 13
8.
4
2
h=
9
3
Perform the indicated operation.
9.
⎛ 3⎞ ⎛ 2⎞
10. ⎜ 6 ⎟ ⎜ 5 ⎟
⎝ 4 ⎠ ⎝ 3⎠
11.
Evaluate each formula. Give decimal answers to the nearest tenth.
12. a = c 2 − b 2 ; c = 5.5,b = 3
13. V = π r 2 h ; r = 4.3, h = 9.1
Solve each equation for the given variable.
14. 2 ( x + a ) = c Solve for a
15. 2r + 3s = 1 Solve for r
Find the slope of each line.
16. the line containing (-3, 4) and (2, -6)
Find the midpoint of the segment with the given endpoints.
17. (3, 3), (7, -6)
Solve each equation:
18. 8y − 3 + y = 51
19.
4
2
h=
9
3
Solve and graph each inequality.
20. 9 + x ≤ 15
21. 9h> − 18
Solve each equation.
22. ⏐a⏐+4 = 7
Solve each inequality and graph the solution.
23. ⏐a + 3⏐>7
Write the expression using exponents.
24.
x•x•x•y•y
Write the expression so that all exponents are positive.
25. x 5 y −7 z −3
Simplify each expression. Use positive exponents.
26.
r3• r2• s7• s
27.
( rt )3
28.
( 2a )( 3a )
29.
( 4a b ) ( ab )
30.
x 2 y 3 z −1
x 5 yz 3
4
2
6a 3
2
3
2
Perform the indicated operations. Write each answer in standard form.
(
31. 4x 2 3x 2 − 5x + 9
32.
( x − 5 ) ( x + 3)
33.
( n − 7 )( n − 2 )
)
Factor each polynomial.
34. b 3 + 6b 2
35. x 2 + 5x + 4
36. 3r 2 − 48
37. y 2 − 24y + 144
Simplify each radical expression.
38.
72
39.
54
40.
41. 7 7 − 7
42.
40 + 90
43.
98 + 50 − 5
In each problem, a and b are the lengths of the legs of a right triangle, and c is the length of
the hypotenuse. Find each missing length.
44.
a if b = 12 and c = 13
Find the distance between each pair of points, to the nearest tenth.
45.
(- 5, 3), (4, 3)
Write each expression in simplest form.
46.
5n + 15
n+3
47.
28c 2 ( d − 3)
35c ( d − 3)
Perform the indicated operation.
48.
13 13
−
2x 3x
⎛ 3x 2 ⎞ ⎛ 6 ⎞
49. ⎜
⎜ ⎟
⎝ 2 ⎟⎠ ⎝ x ⎠
50.
16 5
÷
3x 3x
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