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1.) Seven less than twice a number is 15. What is the number?
Equation: 2x - 7 = 15
- 2x = 15 + 7
- 2x = 22
- 2x/2 = 22/2
- x = 11
Checking: 2x - 7 = 15 ⇆ Equation
- 2x - 7 = 15
- 2(11) ⇒ 2 × 11 = 22
- 22 - 7 = 15
ANSWER: x = 11
2.) Twice a number reduced by 5 equals the number. Find the number.
Equation: 2x - 5 = x
- 2x - 5 = x
- 2(5) ⇒ 2 × 5 = 10
- 10 - 5 = 5
ANSWER: x = 5
3.) Thrice the sum of a number and 5 is 18. What is twice the number?
Equation: 3 (n + 5) = 18
- (3n + 5) - 15 = 18 - 15
- 3n/3 = 3/3
- 2n = 2
ANSWER: 2
4.) Princess weighs half as much as her father, who weighs 86kg. How much does Princess weigh?
Equation: w = 86/2
- 86/2 ⇒ 86 ÷ 2 = 43
ANSWER: 43kg
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