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Extra info for 501 Algebra Questions, 2nd edition
Associate like terms. Apply the rules for operating with signed numbers. Subtracting zero is the same as adding zero. 3 82. Add −1ᎏ4ᎏ to each side of the equation. 12 + −c = −9 12 + −c + +c = −9 + +c 12 + (−c + +c) = −9 + +c 12 + (0) = −9 + c 12 = −9 + c +9 + 12 = +9 + −9 + c (+9 + 12) = (+9 + −9) + c (21) = (0) + c 21 = c s + +3 = −1 s + +3 + −3 = −1 + −3 s + (+3 + −3) = −1 + −3 s + (0) = (−4) s = −4 3 3 1 3 a + 1ᎏ4ᎏ + −1ᎏ4ᎏ = 6ᎏ4ᎏ + −1ᎏ4ᎏ 3 3 1 3 Associate like terms. Apply the rules for operating with signed numbers.
Signs different? Subtract and give the result the sign of the higher value number. Substitute the result into the numerical expression. Multiply from left to right. Negative times positive equals negative. Signs the same? Multiply and give the result a positive sign. The simpliﬁed value of the expression is as follows: 19 Team-LRN [(−8) + 3] [8 − 3 = 5] [(−8) + 3 = −5] (−5)(6)(−5) [−5 · 6 = −30] (−30) · −5 = +150 bx(z + 3) = +150 501 Algebra Questions 43. Substitute the values for the variables into the expression.
Perform the numerical operation in the parentheses. Zero is the identity element for addition. 78. Subtract 17 from both sides of the equation. Associate like terms. Change subtraction to addition and change the sign of the term that follows. Apply the rules for operating with signed numbers. Zero is the identity element for addition. 79. Change subtraction to addition and change the sign of the term that follows. Add +24 to each side of the equation. Associate like terms. Apply the rules for operating with signed numbers.