Podcast
Questions and Answers
Solve for x in the equation $2x - 3 = 7$
Solve for x in the equation $2x - 3 = 7$
- -5
- 5 (correct)
- -2
- 2
Simplify $5xy - 2y + 3xy + y$
Simplify $5xy - 2y + 3xy + y$
- 8xy - y
- 8xy + y
- 3xy + 4y (correct)
- 3xy - y
Evaluate $a! - 4bc$ if $a = -3$, $b = 2$ and $c = -5$.
Evaluate $a! - 4bc$ if $a = -3$, $b = 2$ and $c = -5$.
- 49
- 46
- 31
- -49 (correct)
The solution of the equation $y = mx + b$ is represented by which of the following?
The solution of the equation $y = mx + b$ is represented by which of the following?
Which point lies on the line $y = 4x - 6$?
Which point lies on the line $y = 4x - 6$?
The x and the y-intercept of the equation $4x - 2y = 8$ are:
The x and the y-intercept of the equation $4x - 2y = 8$ are:
The equation of the line shown below is:
The equation of the line shown below is:
The gradient of the line joining the points (-2, 3) and (4, 1) is:
The gradient of the line joining the points (-2, 3) and (4, 1) is:
When solving the equation $\frac{2b - 1}{3} = 5$, the correct order of working out the solution is:
When solving the equation $\frac{2b - 1}{3} = 5$, the correct order of working out the solution is:
At The Port Ice Creamery, what are the equations representing the orders of ice cream?
At The Port Ice Creamery, what are the equations representing the orders of ice cream?
What is the simplified form of $3d \times 4e$?
What is the simplified form of $3d \times 4e$?
What is the simplified form of $-2ab + 3ab$?
What is the simplified form of $-2ab + 3ab$?
What is the simplified form of $-5x + 2y + 6x - 4y$?
What is the simplified form of $-5x + 2y + 6x - 4y$?
Expand $4(x - 3)$.
Expand $4(x - 3)$.
Expand and simplify $3(2t + 1) - 4(2 - t)$.
Expand and simplify $3(2t + 1) - 4(2 - t)$.
Solve for t, where $3(2t + 1) - 4(2 - t) = 0$.
Solve for t, where $3(2t + 1) - 4(2 - t) = 0$.
What is the equation representing twice a certain number added to 5 equals 19?
What is the equation representing twice a certain number added to 5 equals 19?
Solve the equation $2x + 5 = 19$ for x.
Solve the equation $2x + 5 = 19$ for x.
Find the gradient for the linear relation $y = -2x + 4$.
Find the gradient for the linear relation $y = -2x + 4$.
Find the y-intercept of the linear relation $y = -2x + 4$.
Find the y-intercept of the linear relation $y = -2x + 4$.
What is the x-intercept of the equation $3y - 2x = 6$?
What is the x-intercept of the equation $3y - 2x = 6$?
What is the y-intercept of the equation $3y - 2x = 6$?
What is the y-intercept of the equation $3y - 2x = 6$?
What are the English and Mathematics test scores for Axel, if $e + m = 172$ and $m - e = 18$?
What are the English and Mathematics test scores for Axel, if $e + m = 172$ and $m - e = 18$?
How many t-shirts must be produced for the costs of both methods to be equal in producing t-shirts?
How many t-shirts must be produced for the costs of both methods to be equal in producing t-shirts?
Which production method is cheaper for an order of 15 t-shirts?
Which production method is cheaper for an order of 15 t-shirts?
Which method has a smaller cost per t-shirt?
Which method has a smaller cost per t-shirt?
Flashcards
Solving Linear Equations
Solving Linear Equations
Solving for the variable 'x' in equations like 2x - 3 = 7.
Simplifying Algebraic Expressions
Simplifying Algebraic Expressions
Combining like terms to reduce an expression, like 5xy - 2y + 3xy + y.
Expanding
Expanding
Multiplying out brackets, e.g., a(b + c) = ab + ac.
Simplifying
Simplifying
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Constructing Linear Equations
Constructing Linear Equations
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Gradient
Gradient
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Y-Intercept
Y-Intercept
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Vertical Line
Vertical Line
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Horizontal Line
Horizontal Line
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Solving Simultaneous Equations
Solving Simultaneous Equations
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Cost Function
Cost Function
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Gradient Calculation
Gradient Calculation
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Expanding Expressions
Expanding Expressions
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Study Notes
Linear Relations Test Overview
- Applicable for Year 10 General Mathematics at St. Joseph's College in 2024
- Total marks: 35 (10 marks for multiple choice, 25 marks for short answer)
- Test duration: 70 minutes
- Materials allowed:
- One bound reference of notes (VCAA guidelines)
- Approved scientific or graphics calculator
- Mobile phones and unauthorized devices prohibited
Section A: Multiple Choice Questions
- Assess problem-solving and simplification skills across ten questions
- Examples of question types include:
- Solving linear equations (e.g., 2𝑥 - 3 = 7)
- Simplifying algebraic expressions (e.g., 5𝑥𝑦 - 2𝑦 + 3𝑥𝑦 + 𝑦)
- Evaluating factorials and expressions with negative integers
Section B: Short Answer Questions
- Involves practical algebra applications and graph plotting
- Key questions include:
- Simplification of products and sums (e.g., −5𝑥 + 2𝑦 + 6𝑥 − 4𝑦)
- Expanding and simplifying algebraic expressions
- Constructing and solving linear equations from word problems
- Finding gradients and y-intercepts of linear functions
- Sketching and interpreting graphs based on equations
Algebra Concepts
- Understand how to expand expressions (e.g., using the distributive property) and simplify.
- Familiarity with constructing equations from real-world problems, such as cost analysis.
- Ability to identify key features of linear equations, including slope (gradient) and intercepts.
Graphing and Interpretation
- Skills to sketch lines based on defined equations:
- Example forms include vertical (x = constant) and horizontal (y = constant) lines.
- Understanding gradient calculations between points on a line as part of determining line equations.
Application of Concepts
- Solve simultaneous equations to find unknowns in problem contexts, such as comparing scores.
- Evaluate cost functions to decide optimal production methods by comparing linear equations for different scenarios.
- Practical applications include solving scenarios involving costs and budget.
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