Review #2 Algebra Review. A real number that corresponds to a particular point on the number line is called a coordinate. The origin corresponds to the.

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Presentation transcript:

Review #2 Algebra Review

A real number that corresponds to a particular point on the number line is called a coordinate. The origin corresponds to the real number zero. The correspondence between points on a line and the real numbers is called a coordinate system. Real Number Line

a < b “ Less than “ a > b “ Greater than” a = b “ Equal to “ Inequalities

Graph the following inequalities on the number line. Graphing Inequalities

The distance from zero on the number line. The absolute value of a real number a is denoted by the symbol |a|. Absolute Value

The distance between two points P and Q is denoted by d(P,Q) = |b – a|. Let P, Q, and R be points on the number line with coordinates –7, 4, and –3. 1. Find the distance between P and Q. 2. Find the distance between Q and R..

Write an equivalent expression without using absolute value bars.

1.Substitute each value for the variable using a grouping symbol 2. Follow all order of operations 3. Simplify your answer Evaluating Expressions

Evaluate each expression, if x = 4, y = –2, and z = 3

Domain of A Function In order to find the restriction(s) on the domain of a variable set the denominator not equal to zero and solve.

Properties of Exponents Product of PowersQuotient of Powers Power of A PowerPower of A Product Power of A QuotientNegative Exponents

Simplify each expression Express the answer so that all exponents are positive Properties of Exponents

Simplify each expression Express the answer so that all exponents are positive

Square Roots A real number is squared when it is raised to a power of 2. The inverse of squaring is finding a square root. 1. Negative numbers do not have square roots 2. The principal square root of 0 is 0 3. The principal square root of a + number is +

Square Roots Simplify each expression

Scientific Notation When a number has been written as the product of a number x, where 1 < x < 10, times a power of ten, it is said to be written in scientific notation

Scientific Notation Write each number in scientific notation Write each number in decimal notation