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Pre-Algebra - Monomials
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As you have most likely come to learn by now, Algebra comes with a lot of different and interesting terminologies such as monomial, polynomial, variables and coefficients. In this quiz, we are going to focus on monomials and, more specifically, how to find the least common multiple (LCM) of monomials.
13x5, 5x2
7x3, 9x2
9: 9 x 1 = 9; 9 x 2 = 18; 9 x 3 = 27; 9 x 4 = 36; 9 x 5 = 45; 9 x 6 = 54; 9 x 7 = 63
x3 has the highest exponents
LCM is 63x3
Answer (b) is the correct answer
10x8, 2x4
2: 2 x 1 = 2; 2 x 2 = 4; 2 x 3 = 6; 2 x 4 = 8; 2 x 5 = 10
x8 has the highest exponents
LCM is 10x8
Answer (d) is the correct answer
11x4, 9x10
9: 9 x 1 = 9; 9 x 2 = 18; 9 x 3 = 27; 9 x 4 = 36; 9 x 5 = 45; 9 x 6 = 54; 9 x 7 = 63; 9 x 8 = 72; 9 x 9 = 81; 9 x 10 = 90; 9 x 11 = 99
x10 has the highest exponents
LCM is 99x10
Answer (c) is the correct answer
5x4, 8x7
8: 8 x 1 = 8; 8 x 2 = 16; 8 x 3 = 24; 8 x 4 = 32; 8 x 5 = 40
x7 has the highest exponents
LCM is 40x7
Answer (a) is the correct answer
7x7, 3x8
3: 3 x 1 = 3; 3 x 2 = 6; 3 x 3 = 9; 3 x 4 = 12; 3 x 5 = 15; 3 x 6 = 18; 3 x 7 = 21
x8 has the highest exponents
LCM is 21x8
Answer (b) is the correct answer
3x5, 6x3
6: 6 x 1 = 6; 6 x 2 = 12
x5 has the highest exponents
LCM is 12x5
Answer (d) is the correct answer
2x9, 4x6
4: 4 x 1 = 4
x9 has the highest exponents
LCM is 4x9
Answer (c) is the correct answer
4x2, 6>x2
6: 6 x 1 = 6; 6 x 2 = 12
Both variables have the same exponent of x2 so the LCM is 12x2
Answer (c) is the correct answer
6x2, 5x3
5: 5 x 1 = 5; 5 x 2 = 10; 5 x 3 = 15; 5 x 4 = 20; 5 x 5 = 25; 5 x 6 = 30
x3 has the highest exponents
LCM is 30x3
Answer (b) is the correct answer
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5: 5 x 1 = 5; 5 x 2 = 10; 5 x 3 = 15; 5 x 4 = 20; 5 x 5 = 25; 5 x 6 = 30; 5 x 7 = 35; 5 x 8 = 40; 5 x 9 = 45; 5 x 10 = 50; 5 x 11 = 55; 5 x 12 = 60; 5 x 13 = 65
x5 has the highest exponents
LCM is 65x5
Answer (a) is the correct answer