SAMPLE Statistics
Statistics
Solving a Linear Equation 3 − 6 = 0 3 − 63+ =6 =6 0 + 6
Given equation
Add 6 to both sides Combine like terms (-6+6) on left side and (0+6) on right side
3 3 = 6 3
Divide both sides by 3 = 2 After solving an equation, you should check each solution in the original equation. In the above example, check that 2 is a solution by substituting 2 for in the original equation. Evaluating Expressions
if . 22( 3 )++ 33 = 3 6 + 9 3
Replace the value of with 3 then evaluate the expression according to the order of operations.
Evaluate
1.3 Exponents
Repeated multiplications can be written in exponential form.
2×2×2 (5)(5)(5)(5)
Repeated Multiplication
Exponential Form
2 5 4 3
(− 4) 3 (2 ) 4
(− 4)(− 4)(− 4) (2 )(2 )(2 )(2 )
Properties of Exponents Let and be real numbers, variables, or algebraic expressions, and let and be integers. (Assume all denominators and bases are nonzero.)
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