Math: Middle School: Grades 6, 7 and 8 Quiz - Pre-Algebra - Monomials: Division (Answers)
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A monomial is one number that stands on its own such as the number 8 or 9x or 15x2. To divide two monomials is really very easy. Let’s look at the following example.
25x3 ÷ 5x2
[readmore]Here we can easily divide 25 by 5 giving us the answer of 5. However, our variables x3 and x2 are different. So we need to break these out as follows:
x3 = x, x, x
x2 = x, x
Next you cross off a corresponding x from each variable. When you do this, it leaves one x left. This means the solution for our problem is: 25x3 ÷ 5x2 = 5x
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2x5 ÷ 2x4
2 ÷ 2 = 1 x5 = x, x, x, x, x x4 = x, x, x, x 2x5 ÷ 2x4 = x Solution: x Answer (b) is the correct solution |
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27x3 ÷ 9x4
27 ÷ 9 = 3 x3 = x, x, x x4 = x, x, x, x 27x3 ÷ 9x4 = 3x Solution: 3x Answer (a) is the correct solution |
10x6 ÷ 5x4
10 ÷ 5 = 2 x6 = x, x, x, x, x, x x4 = x, x, x, x 10x6 ÷ 5x4 = 2x2 Solution: 2x2 Answer (d) is the correct solution |
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6x ÷ 3x
6 ÷ 3 = 2 x = x x = x 6x ÷ 3x = 2 (the “x” is cancelled out) Solution: 2 Answer (b) is the correct solution |
36x7 ÷ 6x4
36 ÷ 6 = 6 x7 = x, x, x, x, x, x, x x4 = x, x, x, x 36x7 ÷ 6x4 = 6x3 Solution: 6x3 Answer (c) is the correct solution |
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9x3 ÷ 3x2
9 ÷ 3 = 3 x3 = x, x, x x2 = x, x 9x3 ÷ 3x2 = 3x Solution: 3x Answer (d) is the correct solution |
54x4 ÷ 6x2
54 ÷ 6 = 9 x4 = x, x, x, x x2 = x, x 54x4 ÷ 6x2 = 9x2 Solution: 9x2 Answer (a) is the correct solution |
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42x7 ÷ 7x3
42 ÷ 7 = 6 x7 = x, x, x, x, x, x, x x3 = x, x, x 42x7 ÷ 7x3 = 6x4 Solution: 6x4 Answer (c) is the correct solution |
45x5 ÷ 5x4
45 ÷ 5 = 9 x5 = x, x, x, x, x x4 = x, x, x, x 45x5 ÷ 5x4 = 9x Solution: 9x Answer (b) is the correct solution |
16 ÷ 4 = 4
x4 = x, x, x, x
x = x
16x4 ÷ 4 = 4x3
Solution: 4x3
Answer (c) is the correct solution