Question 15 of 27beginner🔍 AnalyzeTrue / False2 marks

12(10s−6)+3=5s−3+3=5s\frac{1}{2}(10s - 6) + 3 = 5s - 3 + 3 = 5s

Correct Answer

True. The simplification is correct. 12(10s−6)+3=5s−3+3=5s\frac{1}{2}(10s - 6) + 3 = 5s - 3 + 3 = 5s. The distributive property is applied correctly, and like terms are combined correctly.

Exercise: Mind the Mistake, Mend the Mistake | Q: 7 | (Page Page 15)
For More Understanding

Explanation

The chapter shows correct application of the distributive property with fractions. 12×10s=5s\frac{1}{2} \times 10s = 5s and 12×(−6)=−3\frac{1}{2} \times (-6) = -3. Adding 3 gives 5s−3+3=5s5s - 3 + 3 = 5s.

Solution Steps

  1. Distribute: 12(10s−6)=5s−3\frac{1}{2}(10s - 6) = 5s - 3

  2. Add 3: 5s−3+3=5s5s - 3 + 3 = 5s

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