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Unit 4 Project
Solve each equation.
1.
2.
3.
√b + 15 = √3b + 1
3
√2w − 1 + 11 = 18
1 + √x + 5 = √x + 12
Simplify each expression.
4.
5.
6.
√175
(6 − 3√2)(− 4 + √2)
2√6 + 4√24
7.
8
3 + √5
8.
(9 2 • 9 3 ) 6
1
7
1
11 2 • 11 3 • 11 6
√256s11t18
9.
10.
1
6
2
1
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Unit 4 Project
Solve each equation
1. √𝒃 + 𝟏𝟓 = √𝟑𝒃 + 𝟏
√𝑏 + 15 = √3𝑏 + 1
(√𝑏 + 15)2 = (√3𝑏 + 1)2
𝑏 + 15 = 3𝑏 + 1
15 − 1 = 3𝑏 − 𝑏
14 = 2𝑏
14
𝑏=
2
𝒃=𝟕
𝟑
2. √𝟐𝒘 − 𝟏 + 𝟏𝟏 = 𝟏𝟖
3
√2𝑤 − 1 + 11 = 18
3
√2𝑤 − 1 = 7
3
3
( √2𝑤 − 1) = 73
2𝑤 − 1 = 343
2𝑤 = 344
𝑤 = 𝟏𝟕𝟐
3. 𝟏 + √𝒙 + 𝟓 = √𝒙 + 𝟏𝟐
1 + √𝑥 + 5 = √𝑥 + 12
(1 + √𝑥 + 5)2 = (√𝑥 + 12)2
(1 + √𝑥 + 5)2 = 𝑥 + 12
𝑥 + 5 + 2√𝑥 + 5 + 1 = 𝑥 + 12
𝑥 + 2√𝑥 + 5 = �...
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