Algebra I Honors Quarter 4 Exam Review 10-1 Pythagorean Theorem Determine which of the following sets of lengths can be the side lengths of a right triangle. 1. 12, 60, 61 2. 15, 36, 39 3. 12, 35, 38 No Yes No 10-2 Simplifying Radicals Simplify each radical expression. 4. 192 s 2 5. 3 150b 8 6. 20 x 2 y 3 8 s 3 15b 4 6 2 xy 5 y 7. 3x 3 64 x 2 8. 2 24 48t 4 9. 3xy 17 507 x 5 y 9 3x 8 2 t 2 y 4 13x 2 10. 4 10 i 2 90 11. 3 5c i 7 15c 2 12. −6 15n 5 i 2 75 240 105c 3c −180n 2 5n 13. 2 7 14. 5 8 x 15. 3 6 15 2 7 7 10 x 4 x 3 10 5 10-3 Operations with Radical Expressions 16. 5 2 − 1 17. 3 7 − 3 18. −2 6 + 11 5 2 + 5 3 7 + 3 3 4 2 6 − 2 11 5 19. 12 + 4 75 − 36 20. 18 + 3 72 + 4 21. 2 700 − 3 20 + 5 28 22 3 − 6 21 2 + 2 30 7 − 6 5
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Algebra I Honors – Quarter 4 Exam Review - Answer Key · Algebra I Honors Quarter 4 Exam Review 10-1 Pythagorean Theorem Determine which of the following sets of lengths can be
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Algebra I Honors Quarter 4 Exam Review
10-1 Pythagorean Theorem Determine which of the following sets of lengths can be the side lengths of a right triangle.
1. 12, 60, 61 2. 15, 36, 39 3. 12, 35, 38 No Yes No
10-2 Simplifying Radicals Simplify each radical expression.
4. 192s2 5. 3 150b8 6. 20x2y3
8s 3 15b4 6 2xy 5y
7. 3x3
64x2 8. 2 24
48t 4 9. 3xy17
507x5y9
3x8
2t 2
y4
13x2
10. 4 10 i 2 90 11. 3 5c i 7 15c2 12. −6 15n5 i 2 75
11-1 Simplifying Rational Expressions Simplify each expression. State any excluded values.
25. n2 + 7n +12n2 + 6n + 8
26. c2 − 6c + 8c2 + c − 6
27. w2 + 7w
w2 − 49
n + 3n + 2
; n ≠ −4,−2 c − 4c + 3
; n ≠ −3,2 ww − 7
; w ≠ −7,7
11-2 Multiplying and Dividing Rational Expressions Multiply. State any excluded values. Be sure to distribute. Do NOT leave as multiplication problems.
28.
6y2
5i2
y + 3 29.
2xx +1
ix −13
30.
m − 4m + 4
im
m −1
12y2
5y +15; y ≠ −3 2x2 − 2x
3x + 3; x ≠ −1 m2 − 4m
m2 + 3m − 4; m ≠ −4,1
Multiply. Do NOT distribute. Factor and simplify, but leave the parenthesis.
31.
4c2c + 2
ic2 + 3c + 2c −1
32.
b2 + 4b + 42b2 − 8
i3b − 64b
33.
t 2 − t −12t +1
it +1t + 3
2c(c + 2)c −1
3(b + 2)8b
t − 4
Divide. Do NOT distribute. Factor and simplify, but leave the parenthesis.
34. x2 + 6x + 8x2 + x − 2
÷ x + 42x + 4
35. 2n2 − 5n − 34n2 −12n − 7
÷ 4n + 52n − 7
2(x + 2)x −1
n − 34n + 5
36.
4b −1b2 + 2b +112b − 3b2 −1
37.
g + 23g −1g2 + 2g6g + 2
38.
c + 4c2 + 5c + 63c2 +12c2c2 + 5c − 3
b −13(b +1)
2(3g +1)g(3g −1)
2c −13c(c + 2)
11-3 Dividing Polynomials Divide. (Write your remainder as a fraction, using the divisor as the denominator.)