Algebra II H 1st Nine Weeks Review Worksheet
Name ___________________________
Show ALL work on separate paper.
Date ________________ Period ______
Graph each equation or inequality on an x-y plane. Graph each one on a separate graph.
1) y = -2x + 7
2) x = 3
3) y = -1
4) 3x + 4y < 12
5) Is the point (1, 2) a solution to the equation x – 3y = 10?
Graph the line given the following information:
6) point (6, 5), m = 0
7) m = -4; b = 2
9) Find the slope of the line with the given points:
8) m = , b = -3
(3, 1), (6, -4)
10) At 10 am, you are 150 miles from home. At 4 pm, you are 390 miles from home. Find your average speed.
11) Find the x- and y- intercepts of the line 16x + 2y = 8 and graph the line using the intercepts.
12) Write the slope-intercept form of the equation. Identify the slope and y-intercept. 8x + 2y = 1
13) Write the equation of the line for the given graph.
Write the equation of a line in slope-intercept form given the following information:
15) through (4, 2), perpendicular to y  
14) through (-2, 5), slope = -4
3
x5
4
16) through (3, 5) and (-1, 9)
Write the standard form of the following equations.
17) 4y = -3x + 7
18) -2x + y = -3
Solve each inequality and graph the solution on a number line.
19)
3
x>9
4
20) x – 1 ≤ 5 or x + 3 ≥ 10
Solve each equation or inequality and graph the solution on a number line.
21) |4 – 6x| = 2
22) 2|d + 1|≤ 6
23) |18 +
1
x| + 5 > 10
2
24) -5 < 4x + 3 < 19
25) Evaluate f(-2) when f(x) = 9x2 – 6x + 4.
26) Solve for h: V 
1 2
b h
3
OVER
Solve the equations.
27) 4(x – 3) = 5 – 2(3x – 1)
28) 4x + 10 = 6x – 13
Evaluate each expression.
29) [28 – (16 + 3)] ÷ 3
30) 2a2 + 4ab when a = -3 and b = -4
31) Simplify: -4(a + 3b) + ⅔(-6a + 12b)
32) Determine the domain and range of the relation. Then determine whether the relation is a function.
{(1, 2), (3, -4), (5, 6), (-1, 6)}
State whether each function is a linear function. If no, explain why.
33) 3x + 4y +18
34) y = x3 – 6
3y 
35) f(x) = 6x – 11
36)
x
5
3
Graph each equation:
37) y = | x - 2| + 3
38) y = |3x|
Describe the translation in each.
39) y = |x - 5|
40) y = - (x + 2)2
41) y = |2x | - 7
Graph each inequality.
42) x – 3y < 6
43) y ≤ |x| - 2
Solve the system by substitution or elimination: 44) x + y = 6
3x – 2y = -2
y  x 2
3
46) Solve the system by graphing: 3x + 4y = 8 and
Graph each function and identify the domain and range.
47) f(x) =
-2x if x ≤ 1
x + 1 if 1 < x < 4
x if x ≥ 4
45) 5x – 2y = 4
-2y + x = 12