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Algebra 2 Tools of Algebra Review

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

2.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
3.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

4.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

5.
Solve:
2(2x + 3) = -6(x + 9)
a)
1.2
b)
6
c)
-6
d)
7.5
6.
Solve for x
l 2x−1 l +4 = 8 
a)
x = 2.5 and x = -1.5
b)
x = 2 and x = -1
c)
x = -2 and x = 9
d)
No Solution
7.

Solve the equation:

∣−2n∣+10=−50\left|-2n\right|+10=-50  

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

8.

Solve.

3|d - 4| ≥ 12

a)

d = -8 or d = 0

b)

no solution

c)

d ≥ 8 or d ≤ 0

d)

d = 40 or d = 32

9.
Solve.
|y - 1| ≤ 6
a)
-7 ≤ y ≤ 5
b)
y ≤ -7 or y ≥ 5
c)
-5 ≤ y ≤ 7
d)
y ≤ -5 or y ≥ 7
10.

Simplify 2a+3b−a+5b2a+3b-a+5b  

a)

5a+8b5a+8b  

b)

a−2ba-2b  

c)

a+8ba+8b  

d)

3a+8b3a+8b