Questions and Answers
Solve for x in the equation: $0.2x + 4.1 = 12.5$
42
If y varies as x and $y = 30$ when $x = 6$, find x when $y = 45$.
9
Solve for x in the equation: $\frac{x + 3}{10} = \frac{4}{5}$
5
Solve for x in the equation: $3(x - 2) + 5 = 2(5x - 4)$
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Find the value of $-5xy^2$ when $x = -2$ and $y = 3$.
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In the accompanying diagram, AB and CD intersect at E, what can be deduced about the angles formed?
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Study Notes
Solving Linear Equations
- Linear equation example: Solve for x in 0.2x + 4.1 = 12.5 results in x = 42.
- Variation example: If y varies as x, with y = 30 when x = 6, then x = 9 when y = 45.
Solving for x in Fractions
- To solve x + 3/10 = 4/5, the solution gives x = 5.
Applying Algebraic Properties
- Solve for x in the equation 3(x - 2) + 5 = 2(5x - 4), yielding a solution of x = 1.
Evaluating Algebraic Expressions
- For the expression -5xy², substituting x = -2 and y = 3 results in a value of 90.
Intersection of Lines
- In problems involving geometry, the intersection point E of lines AB and CD is a key concept for understanding angles and relationships in diagrams.
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Test your algebra skills with these flashcards designed for the Math End-of-Course (EOC) assessment. Each card presents a different problem, covering various algebraic concepts and equations. Perfect for quick review and practice!
