Podcast
Questions and Answers
What are the range values of the function f(x)=-3x^2+5 for the domain values {-2, 0, 1}?
What are the range values of the function f(x)=-3x^2+5 for the domain values {-2, 0, 1}?
{-7, 2, 5}
Malik can spend no more than $24 to buy pecans and cashews. He will pay $6 per pound for pecans and $8 per pound for cashews. Which graph best represents the number of pounds of pecans and the number of pounds of cashews Malik can buy?
Malik can spend no more than $24 to buy pecans and cashews. He will pay $6 per pound for pecans and $8 per pound for cashews. Which graph best represents the number of pounds of pecans and the number of pounds of cashews Malik can buy?
width cashews then length pecans
Which is closest to the slope of the line graphed above?
Which is closest to the slope of the line graphed above?
-3/2
Based on the scatter plot, which x value would best match y=12?
Based on the scatter plot, which x value would best match y=12?
This relation is an inverse variation. {(-1,8),(4,-2),(-2,4)}. Which equation represents this relation?
This relation is an inverse variation. {(-1,8),(4,-2),(-2,4)}. Which equation represents this relation?
Which is a solution to (2x+3)²=25?
Which is a solution to (2x+3)²=25?
Which graph best represents the equation 4x+5y=-20?
Which graph best represents the equation 4x+5y=-20?
Using the distance formula, d=rt, what is the value of t when d=3,520 and r=550?
Using the distance formula, d=rt, what is the value of t when d=3,520 and r=550?
Which equation is nearest to the line of best fit of the data in this scatterplot?
Which equation is nearest to the line of best fit of the data in this scatterplot?
Which is an equation of a line with a slope of 3 that passes through the origin?
Which is an equation of a line with a slope of 3 that passes through the origin?
The table gives the cost for different numbers of 100-sheet notebooks. The cost, C, varies directly as the number of notebooks, n. Which equation represents the relationship shown in the table?
The table gives the cost for different numbers of 100-sheet notebooks. The cost, C, varies directly as the number of notebooks, n. Which equation represents the relationship shown in the table?
Which is a zero of f(x)=x²−15x+54?
Which is a zero of f(x)=x²−15x+54?
Which graph best represents the following inequality? y≤-1/3x+2
Which graph best represents the following inequality? y≤-1/3x+2
When simplified, (2x²y³)⁴ equals -
When simplified, (2x²y³)⁴ equals -
Which of the following equals 3x²−10x−8 when factored completely?
Which of the following equals 3x²−10x−8 when factored completely?
Which is closest to the value of the slope of the line of best fit of the data in this scatterplot?
Which is closest to the value of the slope of the line of best fit of the data in this scatterplot?
What is the solution to the following equation? 3(x+5)−10=-2(x+10)
What is the solution to the following equation? 3(x+5)−10=-2(x+10)
Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?
Karen makes $5 per hour babysitting and $12 per hour giving music lessons. One weekend, she worked a total of 18 hours and made $139. How many hours did she spend babysitting?
The continent of North America has an area of approximately 9.4 × 10^6 square miles. The area of Asia is approximately 1.74 × 10^7 square miles. How many square miles larger is Asia than North America?
The continent of North America has an area of approximately 9.4 × 10^6 square miles. The area of Asia is approximately 1.74 × 10^7 square miles. How many square miles larger is Asia than North America?
Which is equivalent to b⁶/b²?
Which is equivalent to b⁶/b²?
Which number is a zero of the function h? h(x)=x²+3x−18
Which number is a zero of the function h? h(x)=x²+3x−18
What value of p will make this equation true? 6p+46=4p−83
What value of p will make this equation true? 6p+46=4p−83
Which is equivalent to the following expression? (-2xy)³
Which is equivalent to the following expression? (-2xy)³
What is the solution of the system of equations shown? {2x+5y=8, 6x+4y=-20}
What is the solution of the system of equations shown? {2x+5y=8, 6x+4y=-20}
Which ordered pair represents the solution to the system of equations? {2x−7y=0, x−6y=-5}
Which ordered pair represents the solution to the system of equations? {2x−7y=0, x−6y=-5}
Which graph best represents the line y=1/3x−2?
Which graph best represents the line y=1/3x−2?
Which of the following is most likely a graph of y=-2x+3?
Which of the following is most likely a graph of y=-2x+3?
Which graph best represents the function y=4x+2?
Which graph best represents the function y=4x+2?
Which line has a y-intercept of -3 and an x-intercept of 2?
Which line has a y-intercept of -3 and an x-intercept of 2?
Which of the following sets of ordered pairs is a function?
Which of the following sets of ordered pairs is a function?
What is the range of the function of x graphed above?
What is the range of the function of x graphed above?
Which of the following is most likely the graph of a line with a slope of zero?
Which of the following is most likely the graph of a line with a slope of zero?
What is the solution to the following system of linear equations? {4x−y=-6, x−2y=-5}
What is the solution to the following system of linear equations? {4x−y=-6, x−2y=-5}
What are the x- and y-intercepts of the line with equation 4x+5y=40?
What are the x- and y-intercepts of the line with equation 4x+5y=40?
A data set with an even number of data points is ordered from least to greatest. The middle two data points are represented by x1, and x2. This formula can be used to find the median of the data set. m=x1+x2/2. Which shows this formula solved for x1?
A data set with an even number of data points is ordered from least to greatest. The middle two data points are represented by x1, and x2. This formula can be used to find the median of the data set. m=x1+x2/2. Which shows this formula solved for x1?
If f(x)=7(x−2)+4(x+1), what is f(2)?
If f(x)=7(x−2)+4(x+1), what is f(2)?
Which is an equation for the line that passes through the origin and has a slope of 3/5?
Which is an equation for the line that passes through the origin and has a slope of 3/5?
Which is an example of the commutative property of addition?
Which is an example of the commutative property of addition?
Which equation is the slope-intercept form of -x+6y=12?
Which equation is the slope-intercept form of -x+6y=12?
Flashcards
Function Range
Function Range
The set of all possible output values of a function.
Cost Constraints
Cost Constraints
The cost of buying pecans and cashews is limited to $24, with pecans at $6/lb and cashews at $8/lb.
Slope
Slope
The steepness of a line, representing the change in y-values divided by the change in x-values.
Line of Best Fit
Line of Best Fit
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Best Corresponding x-value
Best Corresponding x-value
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Inverse Variation
Inverse Variation
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Solution to an Equation
Solution to an Equation
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Graphical Representation
Graphical Representation
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Simplifying Expressions
Simplifying Expressions
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Factoring
Factoring
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Zero of a Function
Zero of a Function
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Direct Variation
Direct Variation
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Solving for a Variable
Solving for a Variable
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System of Equations
System of Equations
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Line
Line
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Function Range
Function Range
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X-intercept
X-intercept
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Y-intercept
Y-intercept
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Median
Median
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Evaluating a Function
Evaluating a Function
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Slope-Intercept Form
Slope-Intercept Form
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Commutative Property of Addition
Commutative Property of Addition
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Scatter Plot
Scatter Plot
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Y-Intercept
Y-Intercept
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Slope
Slope
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Simplifying Expressions
Simplifying Expressions
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Inverse Variation
Inverse Variation
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Solution to an Equation
Solution to an Equation
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Direct Variation
Direct Variation
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Function Range
Function Range
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Factoring
Factoring
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Solving for a Variable
Solving for a Variable
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System of Equations
System of Equations
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Study Notes
Function and Range
- The function f(x)=-3x^2+5 yields range values of {-7, 2, 5} for domain values {-2, 0, 1}.
Cost Constraints
- Malik’s budget for pecans and cashews is $24, paying $6 per pound for pecans and $8 per pound for cashews.
Slope Characteristics
- The slope of a specified line graph is approximately -3/2.
- The slope of the line of best fit in a given scatterplot is estimated at -1.
Scatter Plot Analysis
- The best x value that corresponds to y=12 in the scatter plot is 3.
Inverse Variation
- The inverse relation defined by the points {(-1,8),(4,-2),(-2,4)} is represented by the equation y=-8/x.
Solving Equations
- A solution to the equation (2x+3)²=25 is -4.
- The solution for the equation 3(x+5)−10=-2(x+10) is -5.
Graphical Representation
- The graph corresponding to the equation 4x+5y=-20 is located in the bottom left corner.
- The inequality y≤-1/3x+2 is represented by a graph with the bottom half shaded and stopping at 2.
Mathematical Expressions
- When simplified, (2x²y³)⁴ equals 16x⁸y¹².
- Factoring 3x²−10x−8 results in (3x+2)(x−4).
Function Zeros
- The zero of the function f(x)=x²−15x+54 is 9.
- h(x)=x²+3x−18 has a zero at -6.
Equation Solutions
- The cost equation for 100-sheet notebooks varies directly according to C=2.15n.
- The value of p that satisfies the equation 6p+46=4p−83 is 10.
Coordinate Representation
- The solution for the system of equations {2x+5y=8, 6x+4y=-20} is (-6, 4).
- The ordered pair (7, 2) represents the solution for the system of equations {2x−7y=0, x−6y=-5}.
Graph Characteristics
- The line represented by y=1/3x−2 runs across the entire bottom of the graph.
- The graph of y=-2x+3 points towards the left across the entire graph.
Function Range and Zones
- The function range is identified as all real numbers between -5 and 3.
- The x-intercept and y-intercept of the line 4x+5y=40 are 10 and 8, respectively.
Median Calculation
- The median of a data set can be found using the formula m=(x₁+x₂)/2 which solves to x₁=2m−x₂.
Calculating Function Values
- Evaluating f(2) for f(x)=7(x−2)+4(x+1) results in 12.
Slope-Intercept Form
- An equation representing a line with a slope of 3/5 passing through the origin is y=3/5x.
- The slope-intercept form of -x+6y=12 is y=16x+2.
Commutative Property Example
- The equation 3+5m=5m+3 exemplifies the commutative property of addition.
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Description
Test your understanding of range values of quadratic functions and budget constraints in purchasing items. This quiz covers key concepts including range calculations and graphical representation of inequalities. Ideal for students studying algebra and functions.
