Page 143 - Algebra

Exercise
1. In the royal courtroom, a stone necklace of a courtier broke into pieces. A third of the pearls fell on the floor, a fifth rolled under the table, a third fell on her dress, and 6 pearls remained on the strand on her neck. How many stones were there in the necklace?
a) 60 b) 15 c) 45 d) 75 e) 90
2. Find the value of the 𝑥3−2𝑥2+3𝑥−8fraction when x = 4. 𝑥2−10
a) 6 c) 9 e) 11
b) 7 d) 10
3. Sam writes a number, which is four times the number written by his friend Peter. The sum of their reciprocals is 15. Find the number Peter writes.
a) 1 b) 1 10 3
c) 1 d) 1 59
e) 1 12
4. Simplify
a) 9𝑥−8
(𝑥−2)(𝑥2−4)
c) 9𝑥 (𝑥+2)(𝑥2−4)
e) None of the above
5. Find the solution set of
b) 9𝑥+8 (𝑥+2)(𝑥2−4)
d) 9𝑥−2 (𝑥+2)(𝑥2−4)
b) x = 1 or 6 d) x = –1 or 0
is undefined when x = 3. What is the value of k?
b) k = 1 or 4 d) k = –1 or 0
4+5 𝑥2−4 (𝑥+2)2
a) x = –1 or 6 c)x = –1 or –6 e) x = 1 or –6
6. A function f(x) =
a) k = 0 or –4
c)k = 0 or 4 e) k = 1 or 0
1 (𝑥+𝑘)2−2(𝑥+𝑘)−3
𝑥−3 = 3𝑥 𝑥+1 𝑥−4
Page 142 of 177
Algebra I & II