Systems of Equations
Number of Solutions
Exponents
Functions
Miscellaneous
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1,6)
100
How many solutions does the following system have?
y=-2x+5
y = 2x+5
One. Because the coefficients are different.
100
What does the product rule state?
When you multiply powers with the same base, you keep the base and ADD the exponents.
100
How do I know if a graph is a function or not?
It must pass the vertical line test.
100
Give the equation of a line that would be parallel to the equation listed below:
y=2x-6
Any equation with a slope of 2 and a y-intercept other than -6.
200
How many solutions are there?
No Solutions
200
What is the relationship between the coefficient and the constant when a system has NO solutions.
Same coefficient, different constants.
200
Solve the problem below:
(52)3
56
200
How do I know if a graph is a LINEAR function?
Straight, non vertical line that has a constant rate of change.
200
Name two forms of a linear equation?
**I'm not talking about methods...
Slope Intercept
Standard
300
Solve the systems of equations using substitution:
-8x - 5y = -24
y = x+10
(-2,8)
300
Identify the solution(s) to the system below.
y = 3x+5
y=-6x-4
(-1,2)
300
Write the following equation in the most simple form:
63/65
1/62
300
Which equation below is non-linear and why?
y=3x+2
y=x(x-6)
y=x(x-6) because if you simplify it the input variable will have an exponent other than 0 or 1.
300
What is a coefficient?
The number that is attached to the variable.
400
How many solutions are there?
Infinitely Many Solutions
400
Solve the systems of equations using substitution:
-8x - 5y = -24
y = x+10
(-2, 8)
400
What is the value of x?
(73)n x 73=721
n=6
400
How will we know if a table is just a function or if it is a LINEAR function? (give definition for both)
For a Function-The x can not repeat with a different y.
For a linear function-There has to be a constant ROC between the two points.
400
What college did Mr. Good attend?
Morehouse College
500
Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below? AND JUSTIFY WHY
-3x + y = 19
-3x + y = 10
There are no solutions because the same equation can not equal multiple things.
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
What does the zero rule of exponents state?
Anything raised to the 0 power equals 1 OR zero raised to any power is 0.
500
Give an example of a linear and a non linear equation. MUST be able to explain.
Answers will vary
500
a negative added with another negative will give you a _________.
Negative