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Math
Algebra
Unit 2a: Linear Equations
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Terms in this set (23)
algebraic strategy
Solving word problems by writing an algebraic equation
area
Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
arithmetic strategy
Solving word problems by working backwards, using the basic calculations we make in everyday life: addition, subtraction, multiplication, division
associative property
It doesn't matter how we group the numbers (i.e. which we calculate first), when we add or multiply 3 or more numbers
coefficient
The number next to a variable that says how many times to multiply Ex: 4x, 4 is the coefficient
commutative property
That the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product.
constant
A value that does not change
common denominator
A shared multiple of the denominator of two or more factors Ex: ⅖ and ⅗ , 5 is the common denominator
distributive property
Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
equation
A mathematical sentence that shows that two expressions are equivalent. Ex: x + 5 = 10
expand/ distribute
Expand is when we multiply to remove the ( ), using the distributive property. Ex) 2(x+8)= 2x+16
expression
A math sentence with no equal sign
infinitely many solutions
The solution to an equation when any value for the variable makes the equation true
interpret
To decide and explain what the intended meaning of a number, variable, or equation, in terms of the word problem.
Explaining some things about what it means in the real-life situation of the word problem
...
like terms
Terms whose variables (such as x or y) with any exponents (such as the 2 in x2) are the same.
no solution
The solution to an equation when no values for the variable make the equation true
perimeter
The continuous line forming the boundary of a closed geometric figure; the distance around the outside of a 2D shape
simplify
To make a number or expression simpler to work with Ex) 3/9= ⅓ or x + x + x = 3x
solution
A value or values that make an equation or inequality true
substitute
To replace the variables in an algebraic expression with a particular number
tip/gratuity
Money that you give to the people that provide a service to you, such as waiters or hairdressers
variable
A symbol used to represent a quantity that can change
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