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## Algebra Level 1 Test 6

Congratulations - you have completed Algebra Level 1 Test 6.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%
 Question 1
Find the value of p3 + q3, given pq = 900, (p+ q) = 60
 A 36000 B 54000 C 48000 D 60000
Question 1 Explanation:
p + q = 60
Cubing both sides
p3 + q3 + 3pq (p + q) = 216000
p3 + q3 + 3 Â´ 900(60) = 216000.
(Replacing the variables by two values given)
p3 + q3 = 216000 â€“ 162000 = 54000.
 Question 2
If x2 + 1/x2 = 66, what is the value of x - 1/x?
 A 8 B + 8 , -8 C -8 D 9
Question 2 Explanation:
x2 + 1/x2 = 66,
Subtract 2 from both sides
x2 + 1/x2 -2 = 66 â€“ 2
(x - 1/x)2 = 64
Hence x - 1/x = +8,-8
 Question 3
Find the range of : x2 â€“ 7x â€“ 8 < 0
 A -1 < x < 8. B -8 < x < 1 C -1 < x < 1 D -8 < x < 8
Question 3 Explanation:
x2 â€“ 7x â€“ 8 < 0
(x-8)(x+1) < 0
x <8 ,x > -1
Hence answer = -1 < x < 8
 Question 4
If P+Q = 54 and PQ = 9, find 1/P+ 1/Q.
 A 9 B 6 C 18 D 12
Question 4 Explanation:
1/P+1/Q = P+Q/ PQ = 54/9 = 6
 Question 5
Find the value of (0.512 + 0.216) /(0.64+ 0.36+0.48)
 A 1.4 B 0.8 C 0.2 D 2
Question 5 Explanation:
The equation is: a3+b3 = (a+b)
(a2âˆ’ab+b2)
Hence the value should be = 1.4
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