Page 38 - Algebra

6. If 2 is added to the age of an elder sister, the ratio of the ages of younger to elder sisters would be 0.75: 1. But, if you subtract 3 from the age of the younger sister, the ratio of the ages of the younger sister to elder would be 1:4. What is the age of the elder sister?
a) 3 years 3.75 years c) 4 years 4.5 years e) 5 years
7. 4x + 5y – p = 0
– 8x – 10y – q = 0
For what value of p and q, the system of equations can have the following solution.
−8 16 a) p = 1, q = –2 b) p = 7 , q = 7
c) p = –6, q = 12 d) p = 6, q = –12 e) p = –4, q = 6
8. Find the solution to the following pair of linear equations. 3x – y – 12= 0
b)
d)
5
6x – 10y – 24 = 0
a) No solution
c) Unique solution
e) None of the above
b) Two Solutions
d) Infinitely many solutions
9. Which of the graph correctly represents the solution of the following system of equations? 12x + 11y – 6 = 0
11 3
3x + 𝑦 – = 0 42
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Algebra I & II