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Questions and Answers
Solve for x in the equation: $0.2x + 4.1 = 12.5$
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 $y = 45$.
If y varies as x and $y = 30$ when $x = 6$, find x when $y = 45$.
9
Solve for x in the equation: $\frac{x + 3}{10} = \frac{4}{5}$
Solve for x in the equation: $\frac{x + 3}{10} = \frac{4}{5}$
5
Solve for x in the equation: $3(x - 2) + 5 = 2(5x - 4)$
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 $y = 3$.
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?
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.
Studying That Suits You
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Description
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!
