Download Algebra 2: Review #2 of Algebra 1 Skills Graphing Linear Equations

Warm UP:
Solve and check:
1) 3n – 7 = 26
2) 3(-4x + 2) = 6(2 + x)
Solve and graph each solution on a number line:
3) 5p > 10 or -2p ≤ 10
Solve and check:
4) 4m  2  10
5) 3 2d  1  21
Algebra 2: Review #2 of
Algebra 1 Skills
Graphing Linear Equations
X only equations are VERTICAL lines and have UNDEFINED slope
Y only equation are HORIZONTAL lines and have ZERO slope
For Diagonal Lines (equation contains BOTH x & y):
Put the equation in y = mx + b form
Identify the slope (m) and y-intercept (b)
Plot the y-intercept point on the y-axis
From the y-intercept point move the value of the slope (rise over run) to plot
more points
Graphing Linear Equations (Cont)
1) 3x – 2y = -6
4) y =

2
x–3
3
2) y = 2
5) 2x – 5y = 15
3) x = -8
Graphing Linear Inequalities
Graph the line as we did above
If <, > dashed line, if ≥, ≤ solid line
Shade > above or < below or test a point to find true side
1) y < 2x + 6
2
2) y ≥ x – 2
3
3) y > - 8
Graphing Absolute Value Functions
All absolute value graphs look like the letter V when graphed.
y = x
(parent function, vertex is on origin)
Vertex form: y = a x  h + k
where the vertex is at (h, k); value is the opposite of h, same k
Find the vertex, then make an XY table to find more points. (Every point found has a reflection)
1) y =
x
2) y =
x4
3) y = -2
x 1
+4
Graphing Quadratic Functions
Quadratics are called Parabolas and look like the letter U when graphed
𝒚 = 𝒙𝟐 is the parent function
Find the vertex and then make an XY table to find more points. Every one
found has a reflection.
1) y = x2
2) y = x2 – 5
3) y = -(x + 4)2 + 3
Warm UP
Graph:
1) y = -3x + 1
5) -3x + 2y > 6
2) x = -2
3) y = x2 + 3
4) y =
x