Simplify Algebraic Expressions Flashcards
Math
What does it mean to streamline an algebraic expression?
To simplify it by combining like terms and eliminating unnecessary components.
How do you combine like terms?
By adding or subtracting their coefficients while keeping the variable part unchanged.
What are like terms?
Terms in an expression that have the same variable raised to the same power.
Example of combining like terms: Simplify 3x + 5x.
3x + 5x = 8x.
What is the first step in streamlining an expression?
Identify and group like terms together.
Can you simplify the expression 4y + 2 - 3y + 7?
Yes, the simplified expression is y + 9.
What is a coefficient in an algebraic expression?
A numerical factor multiplied by a variable.
Are constants considered like terms?
Yes, constants can be combined since they do not have variables.
Simplify: 2a + 3b - 4a + 5b.
-2a + 8b.
What should you do if an expression contains parentheses?
Use the distributive property to eliminate the parentheses before combining like terms.
Simplify: 3(x + 4) - 2(x - 1).
x + 14.
Why is it important to streamline algebraic expressions?
It makes them easier to understand and solve, and helps in identifying solutions to equations.
