PracticeAlgebraic Fractions, Equations and Inequalities

1. Simplify the following.(a)

(b)

(c)

(d)

2. Simplify the following.(a)

(b)

(c)

(d)

(e)

(f)

3. Simplify the following.(a)

(b)

(c)

4. Solve the following equations.(a) x + 5 = 7(b) y 10 = 2(c) 3a = 21

(d)

5. Solve the following equations.(a) 14x + 9 = 13x 7(b)

(c) 3(2x 4) = 4(2 x)(d) 6m + 3.2 = 20 + 2m(e)

6. Solve the following equations.(a)

(b)

(c)

(d)

7. Linda is 3 years older than her sister. Her mother is twice as old as Lindas sister. If the sum of their ages is 99 years old, find Lindas age.8. The cost of 1 kg of crabs was $12 more than the cost of 1 kg of prawns. James bought 5 kg of prawns and 6 kg of crabs. If he paid $237 altogether, how much was 1 kg of prawns?9. Find the area of the square below.10. Solve the following inequalities.(a) 5x 35(b) 7y 49

(c)

(d) 3m < 12

11. Solve .Hence, find

(a) the greatest value of x if x is a positive odd number,

(b) the greatest value of x if x is a prime number.

12. Tim has a piece of cloth of length 23 m. 3 m of cloth is needed to make a shirt. Find the maximum number of shirts that he can make.End of Practicex cm

(x + 5) cm

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