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natta225 [31]
3 years ago
10

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

1x = 20

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

x = 20

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

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1) Road Trip: Let’s say two friends are meeting at a playground. Mary is already at the park but her friend Bob needs to get there taking the shortest path possible. Bob has two way he can go - he can follow the roads getting to the park - first heading south 3 miles, then heading west four miles. The total distance covered following the roads will be 7 miles. The other way he can get there is by cutting through some open fields and walk directly to the park. If we apply Pythagoras's theorem to calculate the distance you will get:

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