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REFLECT
1a. Write the expression 3n – 4n – 8 as a sum. How does this help you identify the terms of the expression? Identify the terms.
3m + (-4n) + (-8)
Writing an expression as a sum clarifies the parts being added and their signs.
3m, -4n, -8
1b. Explain and illustrate the difference between a term and a coefficient.
A term is a part of an expression being added.
A coefficient is a numerical factor of a term.
Ex. 4x is a term of 4x + 1. Its coefficient is 4.
1c. What is the coefficient of x in the expression x - 2? Explain your reasoning.
1
x = 1 x ∙ so the numerical factor of the term is 1.
1d. What is the value of 1-18+25 if you subtract then add? If you add then subtract? Why is the order of operations necessary?
Subtract and then add 8
Add then subtract -42
Results will vary if a consistent order is NOT followed.
VOCABULARY
evaluateAn algebraic expression – substitute the value(s) of the variable(s) into the expression and simplify using the order of operations
REFLECT - Part 22a. Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expressions. What are the terms of the factors 4x – 10.
The expressions x and 4x – 10 are multiplied, not added, to form x(4x-10)3, which makes them factors, not terms
4x, -10
2b. Evaluate 5a + 3b and (5 + a)(3 + b) for a = 2 and b = 4. How is the order of the steps different for the two expressions?
5a + 3b 22 Multiply first then add
(5 + a)(3 + b) 49 Add first then multiply
2c. In what order would you perform the operations to correctly evaluate the expression 2 + (3 – 4) 9? What is the result.∙
Subtract, then multiply, then add -7
2d. Show how to move the parentheses in the expression 2 + (3 – 4) 9 so that the ∙value of the expression is 9.
( 2 + 3 – 4) 9∙