1. CRCT Domain Review
Algebra

2. Key Vocabulary
Equivalent
Equal to
Evaluate
To calculate the value of or substitute given values in for variables
Simplify
To make smaller
Expressions= Combine Like Terms
Fractions= Lowest Terms

3. Key Vocabulary
Constant
The value that does not change
Coefficient
The number attached to the variable
Like Terms
Terms that contain the same variable(s) raised to the same power(s)
Substitution
Putting in a value for a given variable

4. Write Expressions and Equations
DO NOT have an equal sign and have various answers depending on the values given
Equations
DO have an EQUAL sign and one answer for the variable

5. Write Expressions and Equations
Example: Expression
Which expression represents the phrase below.
83 less than a number n
83 – n
n – 83
83 ÷ n
n ÷ 83

6. 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?
r-3 = 12
r ÷ 3 = 12
r + 3 = 12
r x 3 = 12

7. Percent of a Number
Change percent to a decimal and multiply by the number Or
Use 𝑖𝑠 𝑜𝑓 = % 100
Commission- what is earned from the original
Tax, tip, interest, mark-up- Add this amount to the original
Original + tip = total due
Discount, markdown, coupon, % off- Subtract this amount from the original
Original – discount = sale price

8. Percent Change
When 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?

9. Solving Equations
Finding 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.

10. Solving Equations Example:
Justin is 10 years less than half his father’s age. If Justin is 12 years old, how old is his father?
a) 22
b) 24
c) 32
d) 44

11. Solving Equations Example:
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.

12. 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

13. Simplifying Expressions
3 + 5r – (2r – 5)
3r – 2
3r + 8
8r – 3
8r +3

14. Simplifying Expressions
8x + 4x + y + 3y
3(4x + y)
4(3x + y)
2(6x + y)
2(6x + 2y)

15. 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

16. 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?
the number of points Reggie scored
the number of points Larry scored
how many more points Reggie scored than Larry
how many points Reggie and Larry scored in all

17. Inverse Operations Examples: 3g – 7 = 14 m/3 + 5 = 13 Do UnDo Addition
Subtraction
Multiplication
Division
Examples:
3g – 7 = 14 m/3 + 5 = 13