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EXAMPLES & SOLUTIONS
Anchor 1
Linear expressions are algebraic statements that contain one degree variable(s) and/or constants.
Linear expressions are math sentences.
It always has a variable raised to the 1st power.
EVALUATE EXPRESSIONS
Explanation of evaluating expressions
expression: 7 + 3x - 4x = ?,
if x = 3
Combine & Subtract like terms
7 + 3x - 4x --combine like terms
3x - 4x = -1x --substract rule like terms
7 + (-1 x) --update expression
Final Expression
Follow properties and PEMDAS
7 - 1x = ?
7 + (-1)(3) = --substitute 3 for x
7 - 3 = 4 --substraction rule
Evaluating Expressions
Examples of evaluating expressions
ADDITION
if x = -1, evaluate: x + 3 + 7
1) x + 3 + 7 --combine terms, addition rule
2) x + 10 --updated expression
3) -1 + 10 --substitute -1 for x
4) -1 + 10 = 9 --addition rule
SUBTRACTION
if x = -1, evaluate: x - 3 - 7
1) x - 3 - 7 --combine terms, addition rule
2) x - 10 --updated expression
3) -1 - 10 --substitute -1 for x
4) -1 - 10 = -11 --substract rule
MULTIPLY
if x = -1, evaluate: x * 3 * 7
1) x * 3 * 7 --combine terms, multiplication rule
2) x * 21 --updated expression
3) -1 * 21 --substitute -1 for x
4) -1 * 21 - = -21 --multiplication rule
DIVISION
if x = -1, evaluate: x
1) x
2) x
3) -1
3
--updated expression
3 * 1
--combine terms; multiply rule
3
3 * 1
--substitute -1 for x
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