Linear Systems
Desmos can be used to solve a linear system by the method of ______.
Graphing
The graph of x2 + y2 = 4 is a _____.
circle
Which of these expressions is a monomial?
4, 8x2, 12xy3
All three are monomials!
The graph of y = x2 is a(n) ______.
parabola
Desmos can solve quadratic equations by _____.
graphing
Name the two algebraic methods for solving linear systems.
Substitution & Elimination
The radius of the graph of x2 + y2 = 4 is _____.
2
The GCF of 24a3b – 36ab2 is ____.
12ab
The second differences of all quadratic
functions are ____.
equal or constant or the same
State the quadratic formula.
x = -b +/- the square root of b2 - 4ac, all over 2a
Which algebraic method would work best on a linear system with no coefficients of one (1)?
Elimination
Find the slope of the line through the points
(8, 4) & (10, 8).
2
Expand (2x – 3y)2.
4x2 - 12xy + 9y2
The equation y = 3(x – 4)2 – 8 is written
in ____ form.
vertex
Solve x2 + 5x + 6 = 0 by factoring.
x = -2 or -3
Amy bought ten pounds of nuts: some cashews and some walnuts. Write an equation to represent this.
c + w = 10
Line segment LS has a slope of -4/3.
Find the slope of RB, the right bisector of LS.
3/4
Factor 24a3b – 36ab2.
12ab(2a2 - 3b)
The equation y = 3x2 – 24x + 40 is written
in _____ form.
standard
The zeros of a quad function, the x-intercepts of the corresponding graph and the roots/solutions of the corresponding quad equation are _____.
all one and the same thing/have the same values
Cashews cost $11 per pound and walnuts cost $5 per pound. Amy spent $80 on the nuts. Write an equation to represent this information.
11c + 5w = 80
Find the shortest distance from P(3, 4)
to the (i) x-axis; (ii) y-axis.
(i) 4
(ii) 3
When factoring 2x2 – 9x + 4 by decomposition
what are the middle terms?
-x and -8x
Convert y = 3x2 – 24x + 40 to vertex form.
y = 3(x - 4)2 - 8
Solve x2 + 3x – 2 = 0 using the quadratic formula.
x = (-3 +/- sqrt 17)/2