Page 35 - Algebra 1

Exercise
1. Find the value of k for which the system of linear equation has no solution. 3x + ky + 7 = 0
6x – 5y – 3 = 0
55
a) – 22
c) 6 –6 e) –15
2. 4 tables and 3 chairs cost $800, while 8 tables and 5 chairs cost $1,500. What is the cost of 3 tables and 3 chairs?
a) $225 $475 c) $675 $800 e) $850
3.
c) 19 75
e) 9 50
4. Thevaluesofxandythatsatisfiestheequation(x+2)(y–3)=xy–20and(x–1)(y+2)=xy+ 12.
a) x = 14, y = 10 x = 16, y = 20 c) x = 10, y = 14 x = 14, y = 14 e) x = 20, y = 16
5. A small town has a population of 42,000. If in a year, the male population increases by 4% and the female population increases by 7%, the population becomes 44,340. What is the number difference in the number of females and males in the town?
a) 6,000 5,000 c) 4,000 3,000 e) 2,000
John increases the numerator of a fraction by 2, and reduces the denominator by 3. The
b)
d)
b)
d)
1
resulting fraction is 3. However, if he decreases the numerator by 3 and increases the
1
denominator by 1, the fraction is 4. What is the fraction?
a) 22 b) 11 75 70
d) 7 50
b)
d)
b)
d)
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ALGEBRA