Linear inequalities
If we got a compound inequality with AND, the values must satisfy one or both sides?
Both sides
1
Which is the concavity of the parabola −2x^2+3x+7
Negative/downwards
When solving a quadratic inequality, is it possible to choose my critical numbers as test values?
False
Mention the 3 methods for solving systems of non-linear equations.
Graphing, substitution and elimination
What is the interval notation for 1<x<5?
(1,5)
Write the quadratic formula.
(−b±√(b2−4ac))/(2a)
Which parabola is wider? a) −2x^2+3x+7 b) 1/4x^2+3x+7
Letter b
Tell whether the line is doted or solid and if the shaded region is above or below the line y < x^2+3x-8
Doted and below the line.
How many solutions does this system has?
No intersections/ No real solutions
What is the solution for 17<20?
All real numbers are solutions
What do the solutions of a quadratic equation represent?
The roots/x-intercepts of a parabola
Which are the coordinates of the vertex of this parabola y= x^2+2x-1 ?
(-1,-2)
Which could be the 3 test intervals for this inequality x^2-6x+5 ≤ 0?
(−∞,1], [1,5], [5,∞)
ss
True
What is the solution for: 2x+5<15 or -4x+4<12 ??
x<5 or x>2
What is the discriminant of 3x^2+5x+4. Bonus: How many solutions? (+100)
Discriminant= -23 Bonus= Two imaginary answers.
Your original parabola is y=3(x−3)^2+5, then you move 2 units to the right and 3 units downwards. Which is your new equation?
y=3(x−5)^2+2
Tell the solution in inequalities notation x^2-2x-15< 0
-3 < x < 5
Is the coordinate (-2 ,-1) an intersection of this system of equations? y=x^2−5, y=−x−3
missing
What is the solution for: 4x-5<-25 and -3x<3?
No solution
Which is the solution of x^2+4x+1=0 solving by completing the perfect square.
x=−2±√3
The vertex of your parabola is (-3,-2) and has a negative concavity. Which is the range of your parabola?
(-∞ ,-2]
Is the point (-4,4) part of the solution of y<2(x+4)^2+4?
No, it is the vertex and the line is doted.
Solve the system of equations: y=x^2+2x+1, y=x+3
(x,y)=(1,4) or (x,y)=(-2,1)