Choose variables to represent the unknown quantities and write an algebraic expression or equation.
1. The sum of five and the square root of eight times a number is twelve.
2. Roman weighs w kg. His father weighs 5 kg. less than 3 times Roman's weight. Represent algebraically for his father's weight.
3. Twenty times a number less two
4. Three times the difference of a number and one
5. Half a number decreased by twelve
6. The difference of three and twice a number plus one
7. The product of a number and nine
8. A number divided by three is eight
9. Six less than a number is forty-five
10. Ten added to a number
1. The sum of five and the square root of eight times a number is twelve.
2. Roman weighs w kg. His father weighs 5 kg. less than 3 times Roman's weight. Represent algebraically for his father's weight.
3. Twenty times a number less two
4. Three times the difference of a number and one
5. Half a number decreased by twelve
6. The difference of three and twice a number plus one
7. The product of a number and nine
8. A number divided by three is eight
9. Six less than a number is forty-five
10. Ten added to a number
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Answer:
1. 5 + √8n = 12
2. Father's weight = 3w - 5
3. 20n - 2
4. 3(n - 1)
5. 0.5n - 12
6. 3 - 2n + 1
7. 9n
8. n/3 = 8
9. n - 6 = 45
10. n + 10