Algebraic Terms
What is a variable?
a symbol usually a letter that represents an unknown mathematical value
a * 362 = ____
362a
-42/6 = ___
-7
-|-21| = ___
-21
(-7) x (-5) = 35
What is a coefficient?
the number that appears alongside a variable or term in an equation or an expression
Negative x Negative = ___
Negative x Negative = Positive
Complete the Statement:
Division means _________ a _________ into _________ parts
Division means breaking a whole into equal parts
|-7| x |4| = ___
28
81 ÷ (-9) = ___
81 ÷ (-9) = -9
What is the coefficient and the variable in the expression below?
16 - 2y
The coefficient is 2 and the variable is y
Complete the statement:
Negative numbers are numbers ___ than ___ that are represented by a ____ ____
Negative numbers are numbers less than zero that are represented by a minus sign
0.75 ÷ x = ___
0.75/x (as a fraction)
What does value mean?
Value is a noun meaning the worth or amount of something.
Negative x Positive = ___
Negative x Positive = Negative
What are the terms in this equation? You must identify ALL the terms.
x2 + 6x + 9 = 0
x2, 6x, 9, 0
-12y * 3 = ___
-36y
Negative ÷ Positive = ____
Positive ÷ Negative = ____
Negative ÷ Positive = Negative
Positive ÷ Negative = Negative
What is absolute value?
Absolute value is a mathematical concept representing a number's distance from zero (0).
-6 * -4 = ____
-6 * -4 = 24
What is the difference between an equation and an expression?
An equation has an equal sign.
An equation is a mathematical statement that says 2 or more expressions are equal to each other.
Complete the Statement:
If you have a number multiplied by a variable that already has a ___________ aka __________, multiply the __________ together and keep the ____________.
If you have a number multiplied by a variable that already has a coefficient aka number, multiply the numbers together and keep the variable.
Complete the Statement:
A _____ divided by a _____ and vice versa is essentially a _____
A variable divided by a number and vice versa is essentially a fraction
-|6 - 12| = ___
-6
What are the 2 big rules when multiplying or dividing negatives? (Hint: Positive ÷x Positive = Positive)
Multiplying or Dividing Negatives:
1. Negative ÷x Negative = Positive
2. Negative ÷x Positive = Negative
Positive ÷x Negative = Negative