Algebra Basics Unit Test

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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


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