WorksheetsAlgebra II Unit 1
Total questions: 28
Worksheet time: 4hrs 37mins
Name
Class
Date
1.
What is the first step in solving the equation 2a - 4(a - 5) = 10
a)
Add 4 to both sides
b)
Add the 2a and a
c)
Distribute 4 to a and -5
d)
Distribute -4 to a and -5
2.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
3.
a)
4
b)
2
c)
-2
d)
-4
4.
a)
A
b)
B
c)
C
d)
D
5.
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
6.
Solve the equations:
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
7.
Solve the equation:
3x - x + 2 = 4(2x - 1)
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
8.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
9.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
10.
Solve:
6x+10>5x-12
6x+10>5x-12
a)
x>2
b)
x<2
c)
x<-22
d)
x>-22
11.
Solve:
3(x - 2) < 2(x + 9)
3(x - 2) < 2(x + 9)
a)
x<24
b)
x>12
c)
x<12
d)
x>24
12.
-3 − 6(4x + 6) > -111
a)
x > 3
b)
x < 3
c)
x < -3
d)
x > -3
13.
a)
a ≥ 4
b)
a ≥ -4
c)
a ≤ 4
d)
a ≤ -4
14.
Which graph matches the inequality
k < 3?
k < 3?
a)
A
b)
B
c)
C
d)
D
15.
Which graph matches the inequality
-2 ≥ n?
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
16.
Solve:
a)
A
b)
B
c)
C
d)
D
17.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
18.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
21.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
22.
|−4 + 5x| = 16
a)
{16/5,12/5}
b)
{4,-5}
c)
{-12/5, 4}
d)
4
23.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
24.
|−2n| + 10 = −50
a)
{30, -30}
b)
{20,-20}
c)
{-5,5}
d)
No Solution
25.
| x – 3 |= 0
a)
3
b)
-3
c)
{-3, 3}
d)
no solution
26.
Solve |2x –3| + 5 =10.
a)
-1, 1
b)
-1, 4
c)
-1, -4
d)
1, 4
27.
Solve for k. |6 - 2k| = 18
a)
k = -6, k = 6
b)
k = -6, k = 12
c)
k = -6, k = -12
d)
k = -6, k = 5
28.
Solve.
8 - 9|10r - 9| = -73
a)
r = 9/5, r = 0
b)
r = 0, r = 5
c)
r = 9/5, r = 1
d)
r = -63/10, r= 0
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