ALGEBRAIC EXPRESSIONS Rewrite the following as algebraic expressions: 1. Add 3 to a 2. Subtract 4 from c 3. e multiplied by 6 4. Divide 7 by t 5. The sum of b and c 6. Five times d 7. The product of x and y 8. One third of p 9. Subtract 2 from the sum of a and b 10. Divide the sum of r and s by t 11. The product of k and sum of p and q 12. Subtract the product of m and n from 6 13. Add 5 to the product of k and l 14. Subtract a from b and multiply the result by c 15. Add the product of c and d to the product of x and y
APPLICATIONS OF EQUATIONS Letting the unknown number be n, write of the following as an equation, and then find the value of the number. 1. (a) What do I add 5 to give 7? (b) From what number do I subtract 23 to give 12? (c) I think of a number and subtract 5. If the result is -2, what is the number? (d) If I double a number and add 5, the result is 11. What is the number? (e) A number is three times another. If their sum is 20, find the numbers.
2. A girl is x years old. Her father is three times as old. If the difference in their ages is 30 years, a. form an equation in x, b. solve the equation to find the girl’s age 3. A boy is 12 years old. His mother is 4 times as old. In x years’ time, the mother will be three times as old as the son. Form an equation in x and hence find x. 4. The sum of two consecutive odd number is 66. Let n be the smaller number. a. Express the bigger number in terms of n. b. Form an equation in n. c. Hence find the two numbers. 5. The cost of 3 kg of mangos teens and 4 kg of durians is Rp290.000,00. Then the cost of 1 kg of mangos teens is Rp20.000,00 less than the cost of durian. Find the cost of 1 kg of durian.