All shapes and Sizes
What is the formula for finding the area of a square?
Length times Width
Base time Height
2x-3x+4+5+4x
Yes
What does raising something to a power imply?
the term has an exponent
Is the following equation true?
3.5x - 7 = 24
x= 9
No, the answer should be 24.5
What order of operations should we do if two terms with the same base are being multiplied?
We add the exponent numbers
What is the formula for finding the area of a Triangle?
Base times Height divided by 2
what makes an equation linear?
Highest exponent on a variable is 1
Increase/decrease at the same rate each time
What do the three dots required on all word problems represent?
A therefore statement
What value makes this equation true?
5x−1=3x+9
5
First, change 2 into 1/2
then cube the numerator and denominator to get your final answer of 1/8
What is the sum or all interior angles in a triangle?
180 degrees
using this equation, what will the missing value be?
500 = 90x+50
x =5
Label all variables in the equation of a line
mx+b
m - mulitplier, slope, rate of change
x - variable
b - constant, y intercept, flat rate
determine the equation if one pizza with 2 toppings costs $15.50 and a pizza with 5 toppings costs 20.00
What do the numbers represent in this question?
1.50x =12.50
1.50x cost per topping
12.50 =cost for base pizza
What do we do when we have a power to a power?
ex (2^4)^2
Multiply the exponents to give us our final answer
ex. 2^8
What is the formula to find the volume of a cone?
πr^2 x h /3
what linear equation hit both points
(2,5) (5,11)
2x+1
Define independent and dependent variables and give an example of each
Independent variable has zero things it depends on
ex. time spent studying
Dependant requires another variable to be defined. Usually in a relationship with an independent variable
ex. Test scores in relation to time spent studying
Where is the point of intersection?
7x+13
9x+5
The point of intersection is when x =4 with a value of 41
Can we multiply exponents with different bases?
No, we cannot, however, we can find a common base and solve from there.
a+b x h /2
Is the following equation linear, why or why not?
(x+3)^2
No, the following is quadratic, the equation increases at different amounts throughout the graph making it non-linear
what are the names of the answers for subtraction, multiplication, division, and addition?
addition - sum
subtraction - difference
Division -quotient
Multiplication - product
Simplify the following equations
15x+45
21x-7
-3x + 9
4x^7-12x^5
5(x+15)
7(3x-1)
-3(x-3)
4x^5(1^2-3)
4x^5 (1-3)
4x^5 (-2)
How can we make equations have the same base?