Module 5 Algebraic Expressions Flashcards
What is an algebraic expression?
An algebraic expression is a mathematical phrase that includes numbers, variables, and operation symbols.
True or False: The expression 3x + 5 is an algebraic expression.
True
Fill in the blank: An expression that contains a variable is called a __________ expression.
variable
What is the value of the expression 4x + 2 when x = 3?
14
How many terms are in the expression 7a + 4b - 2?
3
What do we call the number in front of a variable in an expression?
coefficient
True or False: The expression 5y - 3y can be simplified.
True
What is the simplified form of 2(x + 4) using the Distributive Property?
2x + 8
What is the constant term in the expression 6x + 7?
7
Which operation can be performed to combine like terms in the expression 3a + 2a?
addition
What is the result of evaluating the expression 5x - 3 when x = 2?
7
Multiple Choice: Which of the following expressions is equivalent to 2(x - 3)? A) 2(x -6) B) 2x - 6 C) 2x + 3
B) 2x - 6
What is the coefficient of x in the expression 7x - 5?
7
True or False: The expression 4(x + 2) + 3x can be simplified to 7x + 8.
True
What do you call the process of rewriting an expression in a simpler form?
simplification
What is the expression for the sum of 3 times a number x and 7?
3(x + 7)
What is the term for the highest power of a variable in an expression?
degree
What is the result of combining like terms in the expression 4x + 2x - 3?
6x - 3
What is the distributive property?
The distributive property states that a(b + c) = ab + ac
True or False: The distributive property can only be applied to addition.
False.
Fill in the blank: The distributive property allows you to multiply a number by a __________ of numbers.
sum or difference
In the expression 5(x + 2), what is the coefficient of x after applying the distributive property?
5
Which of the following is an example of the distributive property? A) 3 + 4 = 7 B) 2(3 + 4) = 23 + 24 C) 6 - 2 = 4
B
True or False: The distributive property can be used with subtraction.
True
If 4(x - 3) is simplified using the distributive property, what will be the expression?
4x - 12
What is the first step in applying the distributive property to the expression 7(2 + 5)?
Multiply 7 by each term inside the parentheses
Fill in the blank: The distributive property is often used to simplify __________.
expressions
Which property is illustrated by the equation 6(2 + 3) = 62 + 63?
Distributive property
What does the distributive property help to eliminate in algebraic expressions?
Parentheses
True or False: The distributive property can only be used with integers.
False
If you have the expression x(2 + 5) and apply the distributive property, what is the result?
2x + 5x
What is the simplified form of 3(4x - 2)?
12x - 6
Using the distributive property, what is the result of -5(2x + 3y)?
-10x - 15y
What is the outcome of applying the distributive property to the expression 8(-x + 4)?
-8x + 32
Which operation does the distributive property primarily involve?
Multiplication
If you have 9(x + 1) and apply the distributive property, what is the result?
9x + 9
Using the distributive property, simplify 3(2x + 4) - 5.
6x + 12 - 5 = 6x + 7
To factor an expression is to divide the terms by their _________.
Greatest Common Factor
The factored form of the expression 12x - 6 is ______.
6(2x -1)
The factored form of the expression 18 - 9x is ______.
9(2 - x)
To factor the expression 24x + 16, you would start by dividing 24x and 16 by _____.
8
-(x + y) =
-x - y
-(-x - y) =
x + y
-(x - y) =
-x + y
