Algebra Basics Unit Test
What form of an equation of a line Ax+By=C
Standard Form
What method do you use to factor a trinomial?
grouping
The equation y=6 is what kind of line?
horizontal
What kind of line has a slope of zero?
horizontal
In y=mx+b, which variable is the slope?
m
The slopes of perpendicular lines are...
negative reciprocals
If the discriminant is negative, how many solutions does the quadratic equation have?
no real solutions
What is the solution to parallel lines in a sysytem of equations?
no solution (same line)
What does the solution to a system of equations look like?
ordered pair
What form of an equation of a line is y-y=m(x-x)?
point slope form
What is another name for slope?
rate of change
What can you use to find the slope between two points on a graph?
rise over run
What is m in y=mx+b
slope
What form of an equation of a line is y=mx+b?
slope intercept form
What is the solution to 2 intersecting lines in a system of equations?
the ordered pair where they intersect
The slopes of parallel lines are...
the same
What is the slope of a vertical line?
undefined
What is the slope when your answer is 2/0?
undefined
The equation x=-4 is what kind of line?
vertical
What kind of line has an undefined slope?
vertical
The equation of a vertical line is...
x= a number
What is x^2*x^2?
x^4
What is b in y=mx+b?
y-intercept
What is the formula for finding the slope between 2 points?
y-y/x-x
What is point-slope form of an equation of a line?
y-y=m(x-x)
The equation of a horizontal line is...
y= a number
What is slope-intercept form of an equation of a line?
y=mx+b
What is the sloope of a horizontal line?
zero
What is the slope when your answer is 0/4?
zero
What are 3 ways to solve a system of equations?
~graphing ~elimination ~substitution
Qhat do you need to write an equation in point-slope form?
~points ~slope
What must the discriminant be for a polynomial to be factored?
~positive ~perfect square
What are 4 ways to solve quadratic equation?
~quadratic formula ~completing the square ~factoring ~graphing
What do you need to write an equation in slope-intercept from?
~slope (m) ~intercept (b)
What is the equation for the axis of symmetry?
-b/2a
If discriminant is 0, how many solutions does the quadratic equation have?
1 real solution
What are the 3 kinds of solutions a system of equations can have?
1.no solution 2.infinitely many solutions 3.one solution
What are the 3 kinds of solutions a quadratic equation can have?
1.one solution 2.two solutions 3.no real solution
What does the asnwer look like when you factor a trinomial?
2 binomials in parentheses
What kinds of lines in a system of equations have no solution?
2 parallel lines
If the discriminant is positive, how many solutions does the quadratic equation have?
2 real solutions
What kinds of lines in a system of equations have infintely many solutions?
2 same lines
What is x^2+x^2>
2x^2
What is the standard form of an equation of a line?
Ax+By=C
What is the quadratic formula?
X=-b±√b²−4ac/(over)2a
What is the equation x=-b/2a?
axiz of symmetry
in y=mx+b, which variable is the y-intercept?
b
the discriminant is..
b^2-4ac
What is the expression b^2-4ac?
discriminant