Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
4. Congruent Figures
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Exercise 3 Page 67

Start by listing all possible factors of the coefficients. Then, write the given expression in terms of the greatest common factor (GCF).

4(n-8)

Practice makes perfect
We want to find the greatest common factor (GCF) of the terms in the given expression. 4n- 32 Let's start by finding the GCF of 4 and 32 by listing all possible factors of both numbers. Factors of4:& 1, 2, and 4 Factors of32:& 1, 2, 4,8,16, and 32 We can see that the highest value of the common factors is 4. Therefore, the GCF of the expression is 4. Now we can write the given expression in terms of the GCF. 4n-32 ⇔ 4* n- 4* 8 Finally, we will factor out the GCF. 4* n- 4* 8 ⇔ 4(n-8)

Checking Our Answer

Check your answer âś“
To check our answer, we can apply the Distributive Property and compare the result with the given expression.
4(n-8)
4n-4(8)
4n-32
After applying the Distributive Property, the result is the same as the given expression. Therefore, we can be sure our solution is correct!