Math Problem Statement
Solve the given set of algebraic equations, such as 5(3x + 1) + 11 = 16, 2(x + 3) - 12 = -26, etc.
Solution
Let's solve each of the equations from the given exercise step by step:
a)
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Expand:
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Simplify:
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Solve:
b)
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Expand:
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Simplify:
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Solve:
c)
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Expand:
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Combine terms:
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Solve:
d)
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Expand:
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Combine terms:
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Solve:
e)
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Expand:
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Combine terms:
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Solve:
f)
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Expand:
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Combine terms:
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Solve:
g)
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Expand the right-hand side:
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Combine terms:
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Solve:
h)
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Expand the left-hand side:
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Simplify:
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Solve:
Would you like a detailed explanation of any of these steps?
Here are 5 related questions to further your learning:
- Can you solve a quadratic equation like ?
- How do you handle equations with fractions, e.g., ?
- Can you solve systems of equations, such as two equations with two variables?
- How do you check if your solution satisfies the original equation?
- Can you solve equations involving absolute values, e.g., ?
Tip: Always simplify the equation step-by-step and combine like terms to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Simplification
Algebraic Operations
Formulas
Distributive Property: a(b + c) = ab + ac
Combining Like Terms
Theorems
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Suitable Grade Level
Grades 8-10