Absolute Value And Step Functions Common Core Algebra 1 Homework Answers

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Jul 11, 2024, 7:55:45 PM7/11/24

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The absolute value is the distance of a number from zero. Sometimes this is described as the magnitude. For example the absolute value of 5 is 5 and the absolute value of -5 is also 5. The symbol for absolute value is n, where n is a number. Absolute values may also be found for algebraic expressions. The number, variable, or expression within the absolute value symbol is called the argument. In general:

When we solve absolute value equations, we can still use all the same inverse operations to get variables by themselves, but we must remember that the way to 'undo' an absolute value is by splitting the equation up into two new ones: one that equals the positive and one that equals the negative. Therefore, it's usually the case that absolute value equations give us two answers.

Absolute Value And Step Functions Common Core Algebra 1 Homework Answers

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Solve one dimensional absolute value inequalities algebraically. First, isolate the absolute value on the left using inverse operations. Solve for both the negative and the positive values. For "greater than" inequalities, flip the inequality symbol before solving for the negative value.

This course is also intended to provide the student with a strong foundation for intermediate algebra and beyond. Upon successful completion of this course, you will be able to: simplify and solve linear equations and expressions including problems with absolute values and applications; solve linear inequalities; find equations of lines; and solve application problems; add, subtract, multiply, and divide various types of polynomials; factor polynomials, and simplify square roots; evaluate, simplify, multiply, divide, add, and subtract rational expressions, and solve basic applications of rational expressions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 001)