Podcast
Questions and Answers
Which statement correctly describes the membership pricing of the two golf courses?
Which statement correctly describes the membership pricing of the two golf courses?
- The first is a partial variation with an initial value of $10, and the second is a partial variation with an initial value of $17. (correct)
- The first is a direct variation, and the second is a partial variation with an initial value of $17.
- The first is a partial variation with an initial value of $10, and the second is a direct variation.
- They are both direct variations.
The relationship in the second golf course offers direct variation.
The relationship in the second golf course offers direct variation.
False (B)
What is the unsimplified expression for the total area of the floor based on the given diagram? (Assuming the dimensions are variables represented in the diagram)
What is the unsimplified expression for the total area of the floor based on the given diagram? (Assuming the dimensions are variables represented in the diagram)
area_expression_here
The height of the ball after 4 bounces, represented by the equation H = 25($ rac{1}{2}$)^n, is ___ m.
The height of the ball after 4 bounces, represented by the equation H = 25($ rac{1}{2}$)^n, is ___ m.
Match the following relationships with their rate of change:
Match the following relationships with their rate of change:
What is the solution for x in the equation $9^2 + x^2 = 14^2$?
What is the solution for x in the equation $9^2 + x^2 = 14^2$?
How many of the linear relationships have a rate of change of 5?
How many of the linear relationships have a rate of change of 5?
The equation H = 25($ rac{1}{2}$)^n shows exponential decay.
The equation H = 25($ rac{1}{2}$)^n shows exponential decay.
The area of a circle is calculated using the formula $A = rac{1}{2} imes ext{radius}^2$.
The area of a circle is calculated using the formula $A = rac{1}{2} imes ext{radius}^2$.
What is the height of the ball after 0 bounces?
What is the height of the ball after 0 bounces?
What is the degree of the polynomial $x^2y^{17} + x^4y^2 - 1$?
What is the degree of the polynomial $x^2y^{17} + x^4y^2 - 1$?
The simplified form of $\frac{81x^5y^4}{36x^4y^{-1}}$ is ___.
The simplified form of $\frac{81x^5y^4}{36x^4y^{-1}}$ is ___.
In the equation of the second golf course, the initial cost can be described as $___ for 3 games.
In the equation of the second golf course, the initial cost can be described as $___ for 3 games.
Match the following mathematical expressions with their categories:
Match the following mathematical expressions with their categories:
Which graph would depict a line that is perpendicular to the line y = x - 4?
Which graph would depict a line that is perpendicular to the line y = x - 4?
If a father is currently three times as old as his son and eight years ago he was five times as old, how old is the son now?
If a father is currently three times as old as his son and eight years ago he was five times as old, how old is the son now?
The expression $3(2x - 9) - (5x - 1)$ simplifies to $x - 24$.
The expression $3(2x - 9) - (5x - 1)$ simplifies to $x - 24$.
Calculate the slope between the points (5,-4) and (-3,-2).
Calculate the slope between the points (5,-4) and (-3,-2).
The formula for the area of a circle is $A = ext{Ï€} imes r^2$. If the radius is 7 cm, the area is ___.
The formula for the area of a circle is $A = ext{Ï€} imes r^2$. If the radius is 7 cm, the area is ___.
What would be the intersection point of the equations $y = rac{3}{2}x + 3$ and $y = 5$?
What would be the intersection point of the equations $y = rac{3}{2}x + 3$ and $y = 5$?
What is the total value represented by the number of dimes and nickels in the equation $10(x+10) + 5x$?
What is the total value represented by the number of dimes and nickels in the equation $10(x+10) + 5x$?
Hilaria earns $15 an hour for her food service job.
Hilaria earns $15 an hour for her food service job.
What hourly rate does Hugh earn at his babysitting job?
What hourly rate does Hugh earn at his babysitting job?
Hilaria needs to work at least ___ hours combined at both jobs to earn a total of $240.
Hilaria needs to work at least ___ hours combined at both jobs to earn a total of $240.
Which of the following represents an appropriate inequality for Hugh's earnings?
Which of the following represents an appropriate inequality for Hugh's earnings?
The ordered pair (3, 2) is a solution to the inequality 3x - 5y ≤ 30.
The ordered pair (3, 2) is a solution to the inequality 3x - 5y ≤ 30.
Identify one solution (ordered pair) for Hilaria's work hours that meets her financial goal.
Identify one solution (ordered pair) for Hilaria's work hours that meets her financial goal.
In the inequality 5x + 4y > 12, the coefficient of y is ___.
In the inequality 5x + 4y > 12, the coefficient of y is ___.
Match the job with its pay rate:
Match the job with its pay rate:
If Hilaria works 12 hours in tutoring, how many hours does she need to work in food service to meet her goal?
If Hilaria works 12 hours in tutoring, how many hours does she need to work in food service to meet her goal?
Flashcards
Direct Variation
Direct Variation
A relationship where the cost increases at a constant rate for each additional unit of the independent variable.
Partial Variation
Partial Variation
A relationship where the cost includes a fixed initial value plus a constant rate for each additional unit of the independent variable.
Rate of Change
Rate of Change
The constant rate of change in a linear relationship, representing the change in the dependent variable for each unit change in the independent variable.
Perpendicular Lines
Perpendicular Lines
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Expression for Area
Expression for Area
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Simplified Expression
Simplified Expression
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Exponential Function
Exponential Function
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Exponent
Exponent
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Base
Base
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Bounce Height
Bounce Height
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Linear Inequality
Linear Inequality
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Graph of a Linear Inequality
Graph of a Linear Inequality
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Solution to a Linear Inequality
Solution to a Linear Inequality
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Testing a Point for a Solution
Testing a Point for a Solution
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Inequality Model
Inequality Model
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Graph of an Inequality Model
Graph of an Inequality Model
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Ordered Pair as a Solution
Ordered Pair as a Solution
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Interpreting Ordered Pair Solutions
Interpreting Ordered Pair Solutions
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Solving Real-World Problems with Inequalities
Solving Real-World Problems with Inequalities
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Graph of a Linear Relationship
Graph of a Linear Relationship
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What is the degree of the polynomial 5/7x²yz + 2/5x²yz² + 1?
What is the degree of the polynomial 5/7x²yz + 2/5x²yz² + 1?
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What is the coefficient of the term 5/7x²yz?
What is the coefficient of the term 5/7x²yz?
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What is the constant term in the polynomial 5/7x²yz + 2/5x²yz² + 1?
What is the constant term in the polynomial 5/7x²yz + 2/5x²yz² + 1?
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What is the standard form of a line with a slope of 3/2 and a y-intercept of 3?
What is the standard form of a line with a slope of 3/2 and a y-intercept of 3?
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Find the x and y intercepts for the line 3x + 2y - 4 = 0
Find the x and y intercepts for the line 3x + 2y - 4 = 0
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Find the mean, median, mode and range for the sets of numbers: 1, 13, 7, 2, 9, 4, 1 and 15, 2, 4, 7, 9, 1, 3.
Find the mean, median, mode and range for the sets of numbers: 1, 13, 7, 2, 9, 4, 1 and 15, 2, 4, 7, 9, 1, 3.
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What is the range of the set of numbers: 1, 13, 7, 2, 9, 4, 1?
What is the range of the set of numbers: 1, 13, 7, 2, 9, 4, 1?
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Simplify 5 - √72 + 4√288 -3√7
Simplify 5 - √72 + 4√288 -3√7
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Find the perimeter and area of a rectangle with a length of 7 cm and a width of 5 cm.
Find the perimeter and area of a rectangle with a length of 7 cm and a width of 5 cm.
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What is the equation of a horizontal line going through the point (5, -3)?
What is the equation of a horizontal line going through the point (5, -3)?
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Study Notes
EQAO Questions (2015-2016)
- Linear Relations: Two golf courses offer memberships. Information about linear relationships between total cost (C) in dollars and number of games played (n) is provided.
- First Golf Course: The cost varies directly with the number of games.
- Second Golf Course: The cost is a partial variation with an initial value of $17.
- Which Statement is Correct: The first option in that list is the correct description of these relationships.
Analytic Geometry
- Perpendicular Lines: The question asks about a line perpendicular to y = x – 4.
- Which Graph is Correct: Option b shows a line perpendicular to the given line.
Floored Areas
- Algebraic Expressions: A diagram of a floor shows algebraic expressions for the lengths of its sides in meters.
- Total Area Expression: An unsimplified expression for the total area of the floor is needed.
Analytic Geometry (Rate from Tables & Graphs)
- Linear Relationships: Information about four different linear relationships between variables C and n is given in tables and graphs.
- Rate of Change (5): The question asks how many of the relationships have a rate of change of 5.
- Answer: There are two relationships with a rate of change of 5.
Number Sense
- Ball Dropped: A ball is dropped from a height of 25m.
- Height After Bounces: The height of the ball after n bounces is represented by the equation H=25(1/2)^n.
- Height After 4 Bounces: The height after 4 bounces is 25/16 meters.
Exam Review (Page 4)
- Find x: A variety of algebraic problems, including equations, polynomial expansions, and factoring, require students to solve for unknown variables.
- Evaluate: Numerical expressions are given, some of which include exponents or radicals, and must be evaluated and simplified.
Exam Review (Page 5)
- Father and Son Ages: A word problem that presents a relationship between the ages of a father and son.
- Solving for x or variables: Equations need to be solved.
- Evaluate: Expressions need to be evaluated.
- Perimeter: Calculating the perimeter of a geometric shape.
- Area: Finding the area of a geometric shape.
Exam Review (Page 6)
- Simplify: Algebraic expressions need to be simplified.
- Factoring: Factoring polynomials given in the prompt is required in this section.
- Mean, Median, Mode, and Range: Calculating these statistical measures for a set of data is necessary.
Exam Review (Page 7)
- Two Numbers Differ by Seven: A word problem which presents a relationship between two numbers where the difference is seven, and their sum is 65. Finding the two numbers.
- Find y: Algebra word problem about finding an unknown variable.
- Perimeter & Area: Perimeter and area need to be calculated based on given diagrams.
- Solve for j: An algebraic equation needs to be solved for j.
- **Equation of a Line:**Finding the equation of a line given its slope and y-intercept, using standard form and/or slope-intercept form.
Exam Review (Page 8)
- Find x & y intercepts: Solving for x and y intercepts of a linear equation.
- Simplify: Simplifying algebraic expressions. Finding the slope from two points. Also, simplifying algebraic expressions.
Exam Review (Page 9)
- Factor: Factoring a quadratic term.
- Solving a linear equation: Find the solution for a variable in an equation.
- General Information: Solving for a variable in a polynomial equation, and finding the constants/coefficients of the polynomial.
- Equation of a Horizontal Line: Finding the equation of a horizontal line given a point on the line.
- Quadrant: Determining the quadrant in which a given ordered pair lies.
Exam Review (Page 10)
- Equation for Costs: Create an algebraic equation based on a word problem about costs.
- Graphing a Line: Graph a linear equation based on a word problem.
- Parallel Lines: Explaining the relationship between two parallel lines.
- Word Problem with Multiple Variables: A multiple variable word problem using decimals and coins is described.
Solving Linear Inequalities in Two Variables (Page 11)
- Graph of Inequalities: Graphing linear inequalities.
- Solution Points: Determining whether a given point is a solution to a linear inequality.
Solving Linear Inequalities (Page 12)
- Inequality for Two Jobs: Creates an inequality describing the minimum earnings combined from two jobs.
- Graphing Inequalities: Graphing the created inequality. Finding points that satisfy the inequality.
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Description
Test your understanding of linear relations and analytic geometry with this quiz focusing on the EQAO questions from 2015-2016. Topics include relationships in golf course memberships, properties of perpendicular lines, and calculating area using algebraic expressions. Perfect for students seeking to review and solidify their math skills.
