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Introductory Algebra by Julie Miller, Molly O’Neill, and Nancy Hyde
VIDEO LECTURE EXERCISES: Section 1.6
Properties of Real Numbers and Simplifying Expressions
For Exercise 25, rewrite the expression using the commutative property of addition or the
commutative property of multiplication. (See Examples 1 and 3.)
25. x(–12)
For Exercise 37, use the associative property of multiplication to rewrite the expression.
Then simplify the expression if possible. (See Example 4.)
⎛ 1 ⎞
37. − 4⎜ − t ⎟
⎝ 4 ⎠
For Exercise 63, use the distributive property to clear parentheses. (See Examples 5–6.)
63.
– (–6w + x – 3y)
For Exercise 79, for the expression list the terms and their coefficients. (See Example 7.)
79.
2x– y +18xy + 5
For Exercise 117, simplify by clearing parentheses and combining like terms. (See
Examples 10–11.)
117. 8k – 4(k – 1) + 7 – k