One of the greatest strengths of behavioral psychology is the ability to clearly observe and measure behaviors. Weaknesses of this approach include failing to address cognitive and biological processes that influence human actions.
Right away we see that expressions (a), (b), and (d) are equivalent, since addition is commutative: $2x + 8 = 8 + 2x$. We now only have to check (c) and (e). If $x=0$, (c) and (e) have the value 4, whereas (a), (b), and (d) have the value 8.So (c) and (e) are not equivalent to (a), (b), and (d).Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either.For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions: $$ \begin{align} &2x+4 \\ &2(x+2) \\ &2(x+1+1) \end{align} $$.o (c) and (e) are not equivalent to (a), (b), and (d). Moreover, if $x=1$, then (c) has the value 6 and (e) has the value 5, so those two expressions are not equivalent either. For (c), we can use the distributive property and decompose one of the numbers to write two equivalent expressions:
A Quick Algebra Review 1. Simplifying Expressions 2. Solving Equations 3. Problem Solving 4. Inequalities 5. Absolute Values 6. Linear Equations 7. Systems of Equations 8. Laws of Exponents 9. Quadratics 10. Rationals 11. Radicals Simplifying Expressions An expression is a mathematical âphrase.â Expressions contain numbers and variables, but not an equal sign. An equation has an âequalâ sign. For example: Expression: Equation: 5 + 3 5 + 3 = 8 x + 3 x + 3 = 8 (x + 4)(x â 2) (x + 4)(x â 2) = 10 xÂ² + 5x + 6 xÂ² + 5x + 6 = 0 x â 8 x â 8 > 3 When we simplify an expression, we work until there are as few terms as possible. This process makes the expression easier to use, (thatâs why itâs