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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.
1 .
For the monomials given below, find the LCM.
2x9, 4x6
2x9, 4x6
8x9
4x15
4x9
8x54
2 .
For the monomials given below, find the LCM.
13x5, 5x2
13x5, 5x2
65x5
18x7
65x10
8x5
13: 13 x 1 = 13; 13 x 2 = 26; 13 x 3 = 39; 13 x 4 = 52; 13 x 5 = 65
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
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
3 .
For the monomials given below, find the LCM.
10x8, 2x4
10x8, 2x4
20x8
20x32
8x8
10x8
10: 10 x 1 = 10
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
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
4 .
For the monomials given below, find the LCM.
3x5, 6x3
3x5, 6x3
18x5
18x15
24x5
12x5
3: 3 x 1 = 3; 3 x 2 = 6; 3 x 3 = 9; 3 x 4 = 12
6: 6 x 1 = 6; 6 x 2 = 12
x5 has the highest exponents
LCM is 12x5
Answer (d) is the correct answer
6: 6 x 1 = 6; 6 x 2 = 12
x5 has the highest exponents
LCM is 12x5
Answer (d) is the correct answer
5 .
For the monomials given below, find the LCM.
7x7, 3x8
7x7, 3x8
21x7
21x8
21x15
21x56
7: 7 x 1 = 7; 7 x 2 = 14; 7 x 3 = 21
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
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
6 .
For the monomials given below, find the LCM.
7x3, 9x2
7x3, 9x2
63x2
63x3
63x6
63x1
7: 7 x 1 = 7; 7 x 2 = 14; 7 x 3 = 21; 7 x 4 = 28; 7 x 5 = 35; 7 x 6 = 42; 7 x 7 = 49; 7 x 8 = 56; 7 x 9 = 63
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
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
7 .
For the monomials given below, find the LCM.
4x2, 6>x2
4x2, 6>x2
24x2
12x4
12x2
24x4
4: 4 x 1 = 4; 4 x 2 = 8; 4 x 3 = 12
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
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
8 .
For the monomials given below, find the LCM.
5x4, 8x7
5x4, 8x7
40x7
13x7
13x28
40x11
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
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
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
9 .
For the monomials given below, find the LCM.
6x2, 5x3
6x2, 5x3
30x6
30x3
30x5
30x2
6: 6 x 1 = 6; 6 x 2 = 12; 6 x 3 = 18; 6 x 4 = 24; 6 x 5 = 30
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
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
10 .
For the monomials given below, find the LCM.
11x4, 9x10
11x4, 9x10
20x14
99x40
99x10
99x6
11: 11 x 1 = 11; 11 x 2 = 22; 11 x 3 = 33; 11 x 4 = 44; 11 x 5 = 55; 11 x 6 = 66; 11 x 7 = 77; 11 x 8 = 88; 11 x 9 = 99
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
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
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4: 4 x 1 = 4
x9 has the highest exponents
LCM is 4x9
Answer (c) is the correct answer