Solving Equations and Inequalities
Absolute Value
Equations
Solving Systems of Equations
Factoring
Quadratic Formula
100
How do you solve a two step inequality?
Simplify using the inverse of addition or subtraction. Simplify further by using the inverse of multiplication or division.
100
What does absolute value mean?
The magnitude of a real number without regard to its sign.
100
How many methods can you use to solve a system of equations?
Answer: graphing. substitution elimination
100
What is Factoring?
What is the process of finding the factors. Finding what to multiply together to get an expression
200
How do you solve an inequality?
You use the same process of an equation but also must pay attention to the direction of the inequality.
200
What is the absolute value of a function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
200
How do you solve by using elimination?
You have to create variables that have the same coefficient, then you can eliminate them
200
The factor of 2(x+8)
What is 2x+16
200
What is the reason to use the quadratic formula
While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve. It finds the roots of the problem.
300
How do you solve a multi step equation?
1. Simplify each side of the equations 2.Get all variable terms on one side (ax + b = c or c = ax + b) 3.Isolate the variable term using the addition property 4.Isolate the variable using the (reciprocal) 5.Check your solution by substituting the value of the variables
300
How do you solve an absolute value equation?
Step 1: Isolate the absolute value expression. Step 2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation. Step 3: Solve for the unknown in both equations.
300
Solve: 2x+3y=20
y=6 or (1, 6)
300
Find the factor for X^2+7x+10
What is (X+5) (X+2)
300
Solve x^2 + x – 4 = 0.
x= -1+(square root)17/2
400
Solve. 20y + 15 = 2 - 16y + 11
Answer: Y=1/2
400
Solve |−6−p|=-4
Answer: |−6−p|=4 is {−10,−2}
400
Solve 3x-4y=-5
x=-1
400
Solve x^2+4x-32
Answer: (x-4)(x+8)
400
Solve x^2-5x+6
The answer is (x-3) (x-2)
500
Solve: 3y < 15
3y/3 < 15/3 Answer: y < 5
500
Solve |X-5|=3
X=8 X=2
500
How many solutions can there be for a system of two linear equations with two variables?
Systems of linear equations can only have 0, 1, or an infinite number of solutions.
500
Solve 5x^2-50x+120
Answer: (x-4)(x-6)
500
6x2 + 11x – 35 = 0
The solution is x = –7/2, -5/3