Solving One Step Equations VOCABULARY l Algebraic Expression
Solving One Step Equations: VOCABULARY l Algebraic Expression l Variables l Constant l Mathematical phrase involving at least one variable and sometimes numbers and operation symbols. l Letter or symbol that represents numbers in an expression or equation l A value that does not change; a number.
Solving One Step Equations: VOCABULARY l Evaluate a Numerical Expression l To perform operations to obtain a single number or value. l Equation l Mathematical expression with an equal sign.
Solving One Step Equations: Order of Operations l Variables - examples l a, b, c, x, y, z l Expression - examples l 2+y 14 - 2 l l Equation - examples l l a + 13 = 16 18 + 6 = 24
Solving One Step Equations: VOCABULARY l Exponent l The number of times a number or expression (called the “base”) is used as a factor of repeated multiplication. l Inverse Operation l Pairs of operations that “undo” each other. Addition and subtraction are inverses; multiplication and division are inverses.
Solving One Step Equations: VOCABULARY l Proportion l An equation that states 2 ratios are equal. l Solve l Identify the value that when substituted for the variable makes the equation a true statement.
Solving One Step Equations: Order of Operations The rules to be followed when simplifying expressions or solving equations: 1. ) Parenthesis (and other grouping symbols like brackets [ ] or { }) Also known as 2. ) Exponents PEMDAS 3. ) Multiplication / Division – evaluated left to right. 4. ) Addition / Subtraction – evaluated left to right. l Order of Operations l
Solving One Step Equations: Order of Operations M A P E D S A & S = addition and subtraction which ever comes first left to right! P = parenthesis E = exponents M & D = multiplication and division which ever comes first left to right!
Evaluate: 18 + 3 + 15 / 3 M A P E D S A & S = addition and subtraction which ever comes first left to right! P = parenthesis E = exponents M & D = multiplication and division which ever comes first left to right!
Order of Operations Example #1: 18 + 3 + 15 / 3 l No parenthesis l No exponents l There is division – do this first: 18 + 3 + 5 l Evaluate the two addition problems left to right: 18 + 3 + 5 21 + 5 26
Order of Operations Evaluate: (18/2) + 9 x 2 l Parenthesis first: 9 + 9 x 2 l No exponents l Multiplication: 9 + 18 l Addition: 9 + 18 = 27
Order of Operations l Evaluate: 18 + 24 / 12 + 3 Solution… 23
Order of Operations Practice… l Evaluate each of the following Examples: A. B. C. D. E. 15 / 3 + 12 / 4 3 x (4 x 5) -7 12 (7 – 2 x 3) 32 / 4 x 2 18 – 5 x 2
Order of Operations Practice… l Evaluate each of the following Examples: A. 15 / 3 + 12 / 4 5+3 8 B. 3 x (4 x 5) -7 3 x 20 – 7 60 – 7 53
Order of Operations Practice… C. 12 (7 – 2 x 3) 12 (7 – 6) 12 (1) 12 D. 32 / 4 x 2 8 x 2 16 E. 18 – 5 x 2 18 – 10 8
Solving One Step Equations l How do we know when a scale is balanced?
Solving One Step Equations l How do we balance an equation? y+5 = 9 Whatever we do to one side – we must do to the other side!!!
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