Word Problems
A playground is (x + 1) metres long and (x+2) metres wide. Find the area.
x 2
x x2 2x
1 1x 2
x2+3x+2
(3x)(5x)
15x2
42x3/7x
6x2
How many terms does a monomial have?
1 term
What word best describes this definition: a quantity whose value can change or vary
variable
A rectangular garden has a length of (x + 2) metres and a width of (x + 3) metres. Find the area.
x 3
x x2 3x
2 2x 6
2x+5x+6
-3x(2x-4)
-6x2+12x
8xy/2x
4y
How many terms does a binomial have?
2 terms
What word best describes this definition: the small number placed above and to the right of a base number
exponent
A school fundraiser earned 3x+12 dollars. The money was divided equally among 3 classes. How much money did each class receive?
(3x + 12) /3
3x/3 + 12/3
x=4
(2x)(3x-1)
6x2-2x
(5x2-10x)/5x
x-2
How many terms does a trinomial have?
3 terms
What is a coefficient?
A number used to multiply a variable.
A rectangular garden has an area of x2+2 square metres. One side of the garden is x metres. What is the length of the other side?
x + (x + 2)/x = x + 2
2y(3x+5y)
6yx+10y2
(-8x2-4x)/4x
-2x-1
Do like terms have the same variables and exponents? True or False
True
What is a constant?
A number that never changes.
A rectangular dog park has a length of (x+5) metres and a width of (x+4) metres. Find an expression for the area of the dog park.
x 5
x x2 5x
4 4x 20
x2 + 9x + 20
-4x2+8x-3
(-15x2y-9xy+12y2)/-3y
5x2+3x-4y
Is a term a single mathematical expression made up of a variable, a number, or the product of a number and variables? True or False
True
What is a leading coefficient?
A number that is attached to the variable with the highest exponent in a term.