CRCT Domain Review Algebra. Key Vocabulary Equivalent Equal to Evaluate To calculate the value...
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Transcript of CRCT Domain Review Algebra. Key Vocabulary Equivalent Equal to Evaluate To calculate the value...
Key VocabularyEquivalentEqual to
EvaluateTo calculate the value of or
substitute given values in for variables
SimplifyTo make smallerExpressions= Combine Like
TermsFractions= Lowest Terms
Key Vocabulary
ConstantThe value that does not change
CoefficientThe number attached to the
variable
Like TermsTerms that contain the same
variable(s) raised to the same power(s)
SubstitutionPutting in a value for a given
variable
Write Expressions and Equations
ExpressionsDO NOT have an equal sign and have various answers depending on the values given
EquationsDO have an EQUAL sign and
one answer for the variable
Write Expressions and Equations
Example: ExpressionWhich expression represents
the phrase below.83 less than a number n
a)83 – nb)n – 83c)83 ÷ nd)n ÷ 83
Write Expressions and Equations
Example: Equation
Lou had r rocks in his collection. He separated his rocks into 3 piles. He now has 12 rocks in each pile. Which equation represents this situation?
a) r-3 = 12
b) r ÷ 3 = 12
c) r + 3 = 12
d) r x 3 = 12
Percent of a NumberChange percent to a decimal and
multiply by the numberOr
Use =
Commission- what is earned from the original
Tax, tip, interest, mark-up- Add this amount to the originalOriginal + tip = total due
Discount, markdown, coupon, % off- Subtract this amount from the originalOriginal – discount = sale price
Percent ChangeWhen an amount changes, it is sometimes helpful to find the “percent change”.
This can be a “percent increase” if the amount went up, or a “percent decrease” if the amount went down. Both are calculated the same way:
What is the percent change from 20 to 29?
Solving EquationsFinding the value of a variable in an equation or solving a word problem.
Solve using inverse operations.
What is done on one side, must be done on the other.
Solving EquationsExample:Justin is 10 years less than half his father’s age. If Justin is 12 years old, how old is his father?
a) 22b) 24c) 32d) 44
Solving EquationsExample:
Marissa bought 3 sweaters on sale for the same price. After using a coupon for $25, the total cost was $80.
Write an algebraic equation AND solve to find the cost of each sweater.
Simplifying Expressions
Combine Like Terms
Use sign in FRONT of the number
Clear parenthesis
Cannot combine different variables or different powers
EX. Simplify the following:
2x + 3y + 4x2 + 5y
Simplifying ExpressionsSimplify
8x + 4x + y + 3y
a) 3(4x + y)
b) 4(3x + y)
c) 2(6x + y)
d) 2(6x + 2y)
Translating Phrases (equations)
Use the operational vocabulary to indicate what operation(s) will be required for the equation.
Will have an equal sign
Solve using inverse operations
Translating Phrases (equations)
This season, the number of points Reggie scores was 36 less than 4 times the number Larry scored. Reggie scored 64 points this season. The equation below represents this situation.
4n – 36 = 64
What does n represent in the equation?
a) the number of points Reggie scored
b) the number of points Larry scored
c) how many more points Reggie scored than Larry
d) how many points Reggie and Larry scored in all