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Pre-Algebra Chapter B Properties Review (B-1)
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Terms in this set (14)
The Reflexive Property
a = a
The Symmetric Property
If a = b, then b = a
The Transitive Property
If a = b and b = c, then a = c
The Commutative Property of Addition
a+b = b+a
The Commutative Property of Multiplication
ab = ba
The Associative Property of Addition
(a + b) + c = a + (b + c)
The Associative Property of Multiplication
(ab)c = a(bc)
The Identity Property of Addition
a + 0 = 0 + a = a
The Identity Property of Multiplication
a x 1 = 1 x a = a
The Addition Property of Equality
If a = b, then a + c = b + c
The Subtraction Property of Equality
If a=b, then a-c = b-c
The Multiplication Property of Equality
If a = b, then ac = bc
The Division Property of Equality
If a = b, then a/c = b/c (c ≠ 0)
The Distributive Property of Multiplication over Addition
a(b + c) = ab + ac
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Verified questions
COLLEGE ALGEBRA
Jose must choose between two job offers. The first job pays $50,000 the first year. Each year thereafter, he would receive a raise of$2400. A second job offers $54,000 the first year with a raise of$2000 each year thereafter. However, with the second job, Jose would have to pay $100 per month out of his paycheck for health insurance. a. If Jose anticipates working for the company for 6 yr, find the total amount he would earn from each job. b. If he anticipates working for the company for 12 yr, find the total amount he would earn from each job.
BUSINESS MATH
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet. Find the cost of the gazebo’s floor if the flooring costs $3 per square foot. Round to the nearest hundred dollars.
PRECALCULUS
State the amplitude and period of the sinusoid, and (relative to the basic function) the phase shift and vertical translation. $$ y=3cos(x+3)-2 $$
ALGEBRA
A fisheye lens has a minimum focus range of 13.5 centimeters. If 1 centimeter is equal in length to about 0.39 inches, what is the minimum focus range of the lens in feet?