1.2E: Real Numbers - Algebra Essentials (Exercises)
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For the following exercises, perform the given operations.
1. \((5-3 \cdot 2)^{2}-6\)]
-5
2. \(64 \div(2 \cdot 8)+14 \div 7\)
3. \(2 \cdot 5^{2}+6 \div 2\)
53
For the following exercises, solve the equation.
4. \(5 x+9=-11\)
5. \(2 y+4^{2}=64\)
\(y=24\)
For the following exercises, simplify the expression.
6. \(9(y+2) \div 3 \cdot 2+1\)
7. \(3 m(4+7)-m\)
32m
For the following exercises, identify the number as rational, irrational, whole, or natural. Choose the most descriptive answer.
8. 11
9. 0
whole
10. \(\frac{5}{6}\)
11. \(\sqrt{11}\)
irrational