Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Concept Check - Page 132: 16

Answer

1) The main difference between an algebraic expression and an equation is the equal sign. For example, y= $(x-1)^{2}$ is an equation because you can see there is an equal sign. But 9+2y-4x is an expression because there is no equal sign 2) In equations, you have to solve for a variable to get an answer, like 10= 2x+ 2, where x=4. 3) Expressions cannot be solved to find an answer, they can only be simplified or evaluated. Evaluating an expression means to simplify it down to usually a single numerical value. This can be done by plugging in values for different variables. For example, 1+9y+4x-5y+2x-6 can be simplified to find an answer of 4y+6x-5. This can be simplified even further if you were given the values of y and x. 3) Expressions are mathematical phrases while equations are mathematical sentences.

Work Step by Step

Refer to the answer for explanation
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