Algebra 1 homework answers Simplifying expressions involving exponents is one of the most challenging concepts to teach to students. For example, try teaching the following equation: = 2x3+8 Students might see this as 4x6. Understandably, since there are two terms on one side of the equals sign and two terms on the other side of the equals sign, 4x6 would contain 8 products that should be combined into 2 equivalent products. One way to simplify this is with a combination power law: = Â 2(4) x 3 + 8 = 8 x 3 + 16 = 32 + 16 = 48. This is the most straightforward way to approach this problem, but it does not always work. For example, how do you simplify = Â 2x + 16? The combination power law can be used to analytically solve for x by using the following equation = (2) x + 16 = x + 16/2 = (x)/2 + 16/4 = (x)/2 + 4 = (x)/2. However, this solution is not always possible; for example, how would you solve the following equation? The first step is simplify the denominator by getting all x's on one side of the equation: = 2(5) - 8. Next, we can combine like terms: = 2(5) + 8 = 8 + 8/2 = 16 + 4/4 = 20. The next step is to combine all x terms: = 2(5) + 8 = 25 - 8. This is the same as simplifying 2x by subtracting the opposite of x from both sides of the equation: Â 2x-Â 4x-Â -4 equals zero so we can eliminate all x terms and simplify. Simplifying using algebraic rules such as grouping and combining like terms does not always work in algebra 1 homework answers . For example, how do you simplify = Â 2x4+8? At first glance it may seem as if the only way to solve this is by grouping and combining like terms: = 2(2x6)+8 = 2x8+8 = 2x8-6 = x8-1. Now we must multiply both sides of the equation by the conjugate of the denominator: (2x6)(2x)-1 = x8-(2x)-1. We need to combine like terms on both sides of the equation: = x8-1x2-2x+1 = 0x8+2x-1x2-3. This may not always be the easiest way to simplify exponential expressions, it is typically one of the most productive ways. The lesson here is that not all algebra 1 homework answers are created equal. Differentiating between the two will help you to produce an answer that is more consistent with what was taught in class. There are many resources online that can help you solve these types of problems more efficiently, but some of these techniques do not always work when simplifying algebraic expressions or exponential expressions.
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