The terms and coefficients of the expressions are found by taking the connectors as additions using the '+' symbol as follows;
A. 1. Terms; 12•x, 13•y, (-4•z), 2
2. Coefficients; 12, 13, -4, 2
B. The error is in not expressing the addition connecting the constant term.
C. The coefficient is 1
What are the parts of the expressions?
A term in an expression are the parts of the expression that are connected together using addition or subtraction
A coefficient is the number multiplying a variable within a term of the expression
Therefore;
A. The expression 12•x + 13•y - 4•z + 2, can be written as follows;
12•x + 13•y - 4•z + 2 = 12•x + 13•y + (-4•z) + 2
The terms of the given expression 12•x + 13•y - 4•z + 2, which is the same as 12•x + 13•y + (-4•z) + 2, are therefore;
1. Terms; 12•x, 13•y, (-4•z), 2
The coefficients are;
2. Coefficients; 12, 13, -4, 2
B. The given expression is 9•a + 4•b - 18
Writing the subtractions as additions, to indicate the signs of the coefficient gives;
9•a + 4•b - 18 = 9•a + 4•b + (-18)
The terms are therefore; 9•a, 4•b, and (-18)
- The error is in not including the addition sign before the constant.
C. The expression, b + 10, has only one variable, which is b, the coefficient of the expression is therefore the coefficient of b, which is 1.
- The coefficient of 'b + 10' is 1
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