Show:
2-1
Solving Equations Graphically
2-2
Solving Quadratics Algebraically
2-3
Applications of Equations
2-4
Other Types of Equations
2-5
Inequalities
100
What are the two ways to solve equations graphically?
Intersection Method and X-Intercept Method
100
How many different ways are there to solve quadratics algebraically? Name them.
4: factoring, square roots, completing the square and quadratic formula.
100
How many steps are there in the guidelines to solving applications of equations?
8
100
What is the Algebraic Definition of Absolute Value?
If c is greater than or equal to 0, then the absolute value of c =c. If c is less han zero, then the absolute value of c = -c.
100
b
compound inequality
200
Is x=6y(squared)+5 a function?
No, if we solve we will get two y values which means it isn't a function.
200
True or false: If ab=0, then a=1 or b=1.
False, If ab=0, then a=0 or b=0.
200
When checking a solution, what are three things that should happen?
They should make sense, satisfy the given conditions, and answer the origional question.
200
True or false: the absolute value of c is equal to the absolute value of -c is a property?
True
200
True or false: A basic principle of solving inequalities is that you can't multiply or divide the same positive value on both sides.
False, you can multiply and divide the same positive value on both sides.
300
True or False: The following statements are equivalent.... r is a zero of function f r is an x-intercept of the graph of f x=r is a soluion of f(x)=0 x=r is a root of f(x)=0
TRUE
300
Which way to solve requires a formula?
The quadratic formula.
300
What is the formula needed to solve interest applications?
I=Prt P represents the principal, r represents the annual interest rate, and t represents time in years.
300
True or false: If A and B are algebraic expressions and A=B, then A to the nth power does not equal B to the nth power.
False, If A and B are algebraic expressions and A=B, then A to the nth power IS equal to B to the nth power.
300
What do you have to do if you multiply or divide by a negative number when solving an inequality?
Flip the direction of the inequality symbol!!
400
How may steps are there to solve an equation graphically using the Intersection Method?
2 steps
400
What is the discriminant?
b(squared)-4ac
400
What is the formula used to solve distance applications?
d=rt d represents he distance traveld at rate r for time t.
400
True or false: If f(x) divided by g(x) = zero, f(x) can't equal zero but g(x) can.
False, if f(x) divided by g(x) = zero, f(x) is equal to zero but g(x) can't be equal to zero.
400
What are some examples of interval notation?
[3,9] (3,9] (3,9) [3,9)
500
How many steps are there to solve an equation graphically using the X-Intercept Method?
3 steps.
500
True or false: If the answer to the discriminant is greater than 0, there are no solutions, if the answer is = to 0 there are 2 solutions, and if the answer is less than 0 there is 1 answer.
False, if the answer is greater than 0, there are 2 solutions. If the answer is = to 0, there is 1 solution and if the answer is less than 0, there are no real solutions.
500
What are the 8 steps for solving applications of equations?
Read, label, draw, translate, consolidate, solve, find, check and interpret.
500
What is the Geometric definition of absolute value?
The absolute value of c is the distance from c to 0 on the number line.
500
What does it mean when you're using interval notation and the numbers are enclosed with parentheses? With brackets?
Parentheses mean that x is less than or greater than. Brackets mean that x is less than or equal to, or greater than or equal to x.