Systems of Equations
Give at least 2 ways to solve a system of equations
Elimination
Substitution
Matrix
2x²=162
x=+/- 9
9^x =729
3
2d/3=54/d can be solved using what method
The butterfly method or cross multiplication
Name at least two methods used to factor polynomials
x-method
factor by grouping
quadratic formula
difference of squares
sum/difference of cubes
9x + 2y + 5z = 18
x + 3y + 4z = 11
x + y + 2z = 5
(x, y, z) = (1, 2, 1)
6x²+7=61
+/- 3
Convert to exponential
log2(5x) = 6
2^5x=6
3=-6/x
x=-2
Add the following polynomials
2x² − 14x + 24
+ 4x² − 14x − 9
6x² − 28x + 15
Determine the solutions to the system of equations below.
y = x² + 7x + 10
y = 2x + 6
x= {-4, -1}
Sarah solved the following equation 2(√x + 4) = 2 and got the two solutions x=-3 and x=1. Which solution is extraneous?
x=1 is extraneous
Convert to logarithmic
89^x=704969
log89(704969)=x
What is the inverse variation equation
xy=k or y=k/x
Name two methods used to divide polynomials
long division
synthetic division
Adelina has a booth at a craft fair where she sells her homemade candies. She sells
small bags of tamale candies and fruity candies. One customer buys a bag of the tamale candies and 6 bags of the fruity candies for $15.50. Another customer buys 12 bags of the tamale candies and 4 bags of the fruity candies, paying $33.
How much does Adelina charge for each bag of candies?
The tamale candies cost $2 per bag and the fruity candies cost $2.25 per bag.
Solve
3√x − 7 = 9
x=16
Solve for x
8^x= 8√8
x=1.5
What is the inverse of the rational parent function
It is the inverse of itself
Multiply the following polynomials
(x+3) (x+4)
2x² − 14x + 24
Determine the solutions to the system of equations below.
y = 2x² − 19x + 31
y = x − 11
(3, −8), (7, −4)
Solve the equation below:
−x − 7 = (√3x + 13) − 4
x= {-4, 1}
1/2log3(x + 2) = 3
727
(5x-2)/(x-4) = −5
x=2.2
Factor the following polynomial
x² + 5x + 4
x= {-1,-4}