Podcast
Questions and Answers
Find the x & y intercepts of $y=2x+4$
Find the x & y intercepts of $y=2x+4$
X intercept: (-2,0), Y intercept: (0,4)
What is a variable?
What is a variable?
Letter that replaces an unknown quantity.
What is a constant?
What is a constant?
Number by itself in an expression (no letter with it).
What is a coefficient?
What is a coefficient?
What word means you have to switch the order of terms in a translation problem?
What word means you have to switch the order of terms in a translation problem?
What buttons do you push to clear a calculator?
What buttons do you push to clear a calculator?
What are the calculator keystrokes for changing a decimal to a fraction or for reducing a fraction?
What are the calculator keystrokes for changing a decimal to a fraction or for reducing a fraction?
What do you have to put in the calculator when you plug in numbers for variables?
What do you have to put in the calculator when you plug in numbers for variables?
Are negative signs and subtraction signs interchangeable on the calculator?
Are negative signs and subtraction signs interchangeable on the calculator?
What operation is used for quotient?
What operation is used for quotient?
What operation is used for difference?
What operation is used for difference?
What operation is used for product?
What operation is used for product?
What do you do when evaluating an expression that has a long fraction bar?
What do you do when evaluating an expression that has a long fraction bar?
How do you enter an exponent in the calculator?
How do you enter an exponent in the calculator?
Any non-zero number raised to the zero power is what?
Any non-zero number raised to the zero power is what?
What are the steps for simplifying expressions?
What are the steps for simplifying expressions?
What is the order of operations?
What is the order of operations?
What two things must be the same to combine like terms?
What two things must be the same to combine like terms?
What operation do we use to combine like terms?
What operation do we use to combine like terms?
If there is a variable with no number in front, what is the understood coefficient?
If there is a variable with no number in front, what is the understood coefficient?
What do you write if two like terms cancel out when you combine them?
What do you write if two like terms cancel out when you combine them?
Are constants like terms?
Are constants like terms?
What do you distribute if there is no number in front of the parentheses in the expression $2 - (x + 3)$?
What do you distribute if there is no number in front of the parentheses in the expression $2 - (x + 3)$?
What is the goal when solving equations?
What is the goal when solving equations?
What are the steps for solving equations?
What are the steps for solving equations?
What are the steps for solving inequalities?
What are the steps for solving inequalities?
What is the flip rule that is used with inequalities?
What is the flip rule that is used with inequalities?
How do you know if you need an open or closed bubble when graphing inequalities?
How do you know if you need an open or closed bubble when graphing inequalities?
How do you determine if a graph is a function?
How do you determine if a graph is a function?
How do you see if a table, list of points or mapping diagram is a function?
How do you see if a table, list of points or mapping diagram is a function?
What is domain?
What is domain?
What is range?
What is range?
What do you look for on a table if you are looking for intercepts?
What do you look for on a table if you are looking for intercepts?
What is the zero of a function?
What is the zero of a function?
What is the x value of every y intercept?
What is the x value of every y intercept?
What is the y value of every x intercept?
What is the y value of every x intercept?
How do you tell if a graph is linear?
How do you tell if a graph is linear?
How do you tell if a table represents a linear function?
How do you tell if a table represents a linear function?
How do you tell if ordered pairs are a linear function?
How do you tell if ordered pairs are a linear function?
What do we use to find slope if we are given two ordered pairs?
What do we use to find slope if we are given two ordered pairs?
What letter represents slope?
What letter represents slope?
What is rate of change the same as?
What is rate of change the same as?
What are f(x), g(x), and h(x) the same as?
What are f(x), g(x), and h(x) the same as?
Are f(x) values part of the domain or range?
Are f(x) values part of the domain or range?
If you are asked to evaluate a function given f(3), where do you put the 3?
If you are asked to evaluate a function given f(3), where do you put the 3?
If you are asked to evaluate a function given f(x)=6, where do you put the 6?
If you are asked to evaluate a function given f(x)=6, where do you put the 6?
What type of correlation does the situation have: As one variable increases the other variable decreases?
What type of correlation does the situation have: As one variable increases the other variable decreases?
What type of correlation does the situation have: As one variable increases the other variable increases?
What type of correlation does the situation have: As one variable increases the other variable increases?
What type of correlation does the situation have: Your grade and the type of hair color you have?
What type of correlation does the situation have: Your grade and the type of hair color you have?
What does the y-intercept represent in a real-world problem?
What does the y-intercept represent in a real-world problem?
What does the slope represent in real-world problems?
What does the slope represent in real-world problems?
If the line on a graph is a horizontal line, what type of slope does it have?
If the line on a graph is a horizontal line, what type of slope does it have?
If the line on a graph is a vertical line, what type of slope does it have?
If the line on a graph is a vertical line, what type of slope does it have?
What letter is used to represent the correlation coefficient on the calculator?
What letter is used to represent the correlation coefficient on the calculator?
Given $y=3-2x$, what is the slope?
Given $y=3-2x$, what is the slope?
Will the axis of symmetry of a parabola be an x= or a y= equation?
Will the axis of symmetry of a parabola be an x= or a y= equation?
How do you find the slope of a line from a graph?
How do you find the slope of a line from a graph?
Where is the solution to a system of equations on a graph?
Where is the solution to a system of equations on a graph?
What is the equation for a line with a slope of zero?
What is the equation for a line with a slope of zero?
What is the equation for a line with an undefined slope?
What is the equation for a line with an undefined slope?
In a word problem, does the slope happen one time or multiple times?
In a word problem, does the slope happen one time or multiple times?
In a word problem, is the y-intercept the thing that happens one time or multiple times?
In a word problem, is the y-intercept the thing that happens one time or multiple times?
Each, per, daily, weekly, monthly, yearly, hourly, and rate are all key words for what?
Each, per, daily, weekly, monthly, yearly, hourly, and rate are all key words for what?
What is the equation for the linear parent function?
What is the equation for the linear parent function?
What is the equation for the quadratic parent function?
What is the equation for the quadratic parent function?
How do you solve a system of equations in standard form?
How do you solve a system of equations in standard form?
How do you solve a system of equations in y= format?
How do you solve a system of equations in y= format?
What are the roots of a function?
What are the roots of a function?
Where are the solutions of a quadratic function?
Where are the solutions of a quadratic function?
How do you find zeros, roots, x-int, solutions for a quadratic function using a table?
How do you find zeros, roots, x-int, solutions for a quadratic function using a table?
How do you find the perimeter of a figure?
How do you find the perimeter of a figure?
What is the problem really asking you if it says 'which of the following represents y as a function of x?'
What is the problem really asking you if it says 'which of the following represents y as a function of x?'
What inequality symbols are used for dashed lines?
What inequality symbols are used for dashed lines?
What does this symbol mean: <?
What does this symbol mean: <?
What does this symbol mean: >?
What does this symbol mean: >?
How are the equations of parallel lines related?
How are the equations of parallel lines related?
How do you tell if a list of points or a table of points are linear, quadratic, or exponential?
How do you tell if a list of points or a table of points are linear, quadratic, or exponential?
What do the graphs of quadratic functions look like (what shape)?
What do the graphs of quadratic functions look like (what shape)?
What does changing the m value of a line do?
What does changing the m value of a line do?
What does changing the 4 in $y=4x+5$ do to the graph?
What does changing the 4 in $y=4x+5$ do to the graph?
What does changing the y-intercept (b) of a line do to the graph?
What does changing the y-intercept (b) of a line do to the graph?
What does changing the 6 in $y=7x-6$ do to the graph?
What does changing the 6 in $y=7x-6$ do to the graph?
What does the b in $y=mx+b$ stand for?
What does the b in $y=mx+b$ stand for?
What does the m in $y=mx+b$ stand for?
What does the m in $y=mx+b$ stand for?
What are the steps for getting y by itself?
What are the steps for getting y by itself?
How do you write the range of a quadratic with a maximum?
How do you write the range of a quadratic with a maximum?
How do you write the range of a quadratic with a minimum?
How do you write the range of a quadratic with a minimum?
What point does the axis of symmetry on a quadratic function go through?
What point does the axis of symmetry on a quadratic function go through?
What does changing the sign of m do to a graph?
What does changing the sign of m do to a graph?
How do you find the solution to a linear inequality?
How do you find the solution to a linear inequality?
What do you have to do first before you can type this in to the calculator: $x²-6x=10$?
What do you have to do first before you can type this in to the calculator: $x²-6x=10$?
When explaining in words what slope represents, what do you say first, the x quantity or the y quantity?
When explaining in words what slope represents, what do you say first, the x quantity or the y quantity?
What does the word initial mean?
What does the word initial mean?
What are the four vocabulary words that describe where the parabola crosses/touches the x-axis?
What are the four vocabulary words that describe where the parabola crosses/touches the x-axis?
How will the multiple choice answers for slope questions try to trick you?
How will the multiple choice answers for slope questions try to trick you?
If there is a scatterplot question that is not about correlation, what do you do?
If there is a scatterplot question that is not about correlation, what do you do?
Where is a minimum on a parabola?
Where is a minimum on a parabola?
Where is the maximum of a parabola?
Where is the maximum of a parabola?
How do you remember what rules to use when exponents are involved?
How do you remember what rules to use when exponents are involved?
What do you do first in exponent questions?
What do you do first in exponent questions?
Study Notes
Intercepts of Linear Equations
- X-intercept of the equation y = 2x + 4 is (-2, 0).
- Y-intercept of the equation is (0, 4).
Key Algebraic Concepts
- A variable is represented by a letter that replaces an unknown quantity.
- A constant is a standalone number in an expression without any variable.
- A coefficient is the number that multiplies a variable (e.g., in 3x, the coefficient is 3).
Calculator Functions
- To clear a calculator, press 2nd + 7 1 2 or 2nd + 7 all 2.
- Use Math enter enter to convert a decimal to a fraction or reduce a fraction.
- Parentheses are required when substituting values for variables in a calculator.
Operations in Algebra
- Division denotes the quotient.
- Subtraction denotes the difference.
- Multiplication denotes the product.
Evaluating Expressions
- When evaluating expressions with a fraction bar, solve the numerator and denominator separately before dividing.
- Use the rooftop button (^) for entering exponents in the calculator.
Zero Power and Simplifying Expressions
- Any non-zero number raised to the zero power equals one.
- To simplify expressions, distribute and combine like terms.
Order of Operations
- Follow the order: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).
Combining Like Terms
- To combine like terms, check that the variables and their exponents are identical.
- Use addition to combine coefficients of like terms.
Solving Equations and Inequalities
- Goal of solving equations: isolate the variable.
- Steps for solving equations: distribute, combine like terms, move constants, and isolate the variable.
- For inequalities, follow similar steps but remember to flip the inequality sign when multiplying/dividing by a negative.
Graphing and Functions
- Use an open bubble for < or >, and a solid bubble for ≤ or ≥ when graphing inequalities.
- A function can be identified using the vertical line test.
Domain and Range
- Domain: the complete set of x-values in a function.
- Range: the complete set of y-values in a function.
Intercepts and Roots
- X-intercepts (or zeros) occur when y = 0.
- Y-intercepts always occur at x = 0.
Characteristics of Linear Functions
- A linear function is represented by a straight line.
- The slope is denoted by the letter 'm'.
Real World Applications
- The y-intercept in real-world scenarios represents starting points, while the slope typically denotes rates of change.
Types of Correlation
- Positive correlation: as one variable increases, the other does as well.
- Negative correlation: as one variable increases, the other decreases.
- No correlation: variables do not relate in any measurable way.
Quadratic Functions
- The vertex of a parabola defines its maximum or minimum point.
- The axis of symmetry for parabolas is defined by the line x = #.
Analyzing Graphs
- The shape of the graph indicates the type of function: linear (straight line), quadratic (U-shaped), and exponential (curves).
- Changes to the slope ('m') impact the steepness of the line, while changes to the y-intercept ('b') shift the graph up or down.
Systems of Equations
- Solve by finding the point where two lines intersect.
- Use matrix methods or graphing to find solutions.
Understanding Exponents
- In problems involving exponents, regular numbers follow standard arithmetic rules before applying exponent rules.
Miscellaneous
- The term "initial" indicates a starting point.
- The correlation coefficient is represented by 'r' on calculators, conveying the strength and direction of a relationship between variables.
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Description
This quiz focuses on intercepts of linear equations, key algebraic concepts, calculator functions, and operations in algebra. Test your understanding of variables, constants, coefficients, and how to evaluate expressions effectively. Perfect for reinforcing algebra fundamentals.
