| Question | Answer |
| Translating Expressions Translate from left to right unless you see a... | turn-around phrase |
| Translating Expressions Examples of turn-around phrases are... | less than subtracted from reduced by fewer than decreased by lower than |
| Translating Expressions Sum of, difference of, product of all mean we should use... | parentheses |
| Translating Expressions Translate the following: Two times the sum of a number and four | 2(x + 4) |
| Translating Expressions Translate the following: Five less than a number squared | x² - 5 |
| Translating Expressions Write an expression for | The square root of a number divided by 3 |
| Evaluating Expressions In Desmos, how do you make... √ | 1) Type "sqrt" or 2) find the symbol on the Desmos keypad |
| Evaluating Expressions In Desmos, how do you make... ∛ | 1) Type "cbrt" or 2) open the Desmos keypad -> click functions -> scroll to bottom |
| Evaluating Expressions In Desmos, how do you make... absolute value bars (| |) |
Open the Desmos keypad and look for
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| Evaluating Expressions In Desmos, how do you make... an exponent |
1) Keyboard: shift and 6 (to get ^)
2) Desmos keypad: click the button
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| Evaluating Expressions In Desmos, how do you make... a big fraction | Click the divide key on the Desmos keypad or click / on your keyboard |
| Evaluating Expressions What letters can you make into sliders? | Any letter except x or y |
| Evaluating Expressions What if you need to set the letter equal to 15 and you can't slide it that far? |
Click into the number and change it
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| Square Roots What does simplest form mean? | smallest number/coefficient INSIDE the radical |
| Square Roots Which is simpler? Why? √32 or 4√2 | 4√2 because 2 is smaller than 32 |
| Square Roots Simplify: √150 |
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Square Roots
TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
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| Cube Roots & Radical Operations How do you create a cube root? | 1) Type "cbrt" or 2) open the Desmos keypad -> click functions -> scroll to bottom |
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Cube Roots & Radical Operations
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After he typed 4, CLICK OUT of the radical before typing - 6 |
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Cube Roots & Radical Operations
TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
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| Equations & Word Problems How do you use Desmos to solve an equation? | First...type the equation into Desmos Then...look for the vertical line Finally...click the point on the line. x= that number |
| Equations & Word Problems The solution is also the... | x-intercept |
| Equations & Word Problems Which letter must you use for the variable? | only x |
| Equations & Word Problems Solve: 3(x + 1) = 5 + x |
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| Equations & Word Problems Write an equation: Jaycin went bowling recently with her friends. Shoe rental was $2.50 and games were $1.75 each. If she spent $7.75 on shoe rental and games, how many games did she bowl? | x = games 2.50 + 1.75x = 7.75 3 games |
| Literal Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Solve for x: 180 = 2x + y |
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| Systems of Equations The solution to two or more equations is where the lines... | intersect/cross/meet |
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Systems of Equations
How many solutions?
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One solution |
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Systems of Equations
How many solutions?
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No solutions, parallel lines |
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Systems of Equations
How many solutions?
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Infinite solutions, same line |
| Systems of Equations The solution is represented as an _____________________ that satisfies both equations. |
ordered pair
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| Systems of Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD a + b = 7 2a + 3b = 10 | Type into Desmos using x and y! x + y = 7 2x + 3y = 10 Solution is (11,-4) |
| Systems of Equations Word Problems Dashawn paid $54 for 3 large candles and 4 small candles. Niya paid $60 for 1 large candle and 8 small candles. How much did each small candle cost? |
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| Systems of Equations Word Problems Aaliyah sold a total of 10 baked goods. Each cookie costs $1.25 and each brownie costs $2.50. Aaliyah made $20 at the bake sale. How many cookies did Aaliyah sell? |
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| One-Variable Inequalities Graph an inequality in Desmos using the variable... | x |
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One-Variable Inequalities
Write the inequality for the graph
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x > 8 |
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One-Variable Inequalities
Write the inequality for the graph
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x < 8 |
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A.5a One-Variable Inequalities
Write the inequality for the graph
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x ≤ 8 |
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One-Variable Inequalities
Write the inequality for the graph
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x ≥ 8 |
| One-Variable Inequalities TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Find the answer to the inequality -4(x - 7) + 1 ≤ -3 | Type in Desmos! x ≥ 8 |
| One-Variable Inequalities Graph the solution on the number line. |
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| Inequality Word Problems What words represent Less than < | fewer than below under |
| Inequality Word Problems What words represent Greater than > | more than over above exceeds |
| Inequality Word Problems What words represent Less than or equal to ≤ | no more than not above at most limit does not exceed not over maximum total |
| Inequality Word Problems What words represent Greater than or equal to ≥ | at least no fewer no less not under not below minimum |
| Inequality Word Problems The owner of a new restaurant is designing its floor plan. His goal is to have a seating capacity of at least 368 customers. The small tables can seat 2 customers, while the large tables can seat 5 customers. |
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Two-Variable Inequalities
Is the point a solution?
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YES it's in the shaded region |
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Two-Variable Inequalities
Is the point a solution?
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NO it's on a dotted line |
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Two-Variable Inequalities
Is the point a solution?
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YES it's on a solid line |
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Two-Variable Inequalities
Is the point a solution?
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YES it's on solid lines near the darkest area |
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Two-Variable Inequalities
Is the point a solution?
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NO it's on a dashed line |
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Two-Variable Inequalities
Is the point a solution?
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NO it's not in the darkest area |
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Two-Variable Inequalities
Is the point a solution?
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NO it's not in the shaded area |
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Two-Variable Inequalities
Is the point a solution?
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NO it's not in the darkest area |
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Two-Variable Inequalities
Is the point a solution?
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YES it's on a solid line in the darkest area |
| Slope Slope is always... | in front of the x when the equation says y= |
| Slope What is the slope formula? |
m =
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| Slope Substitute into the slope formula (3, -5) and (-4, -7) |
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| Slope Slope is also ______/________ and ___________ of ___________ | rise/run and rate of change |
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Slope
Find the slope
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Slope
Which equations represents the line that passes through the points (-4, 4) and (8, -2)?
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Slope
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| Linear Equations Parallel looks like... |
never intersecting,
same slope and
different y-intercepts
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| Linear Equations Equations of perpendicular lines have... |
opposite reciprocal slope and look like
lines intersecting at a 90 degree angle
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| Linear Transformations Slope | number in front of x |
| Linear Transformations Y-intercept | number added or subtracted to x |
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Linear Transformations
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Linear Transformations
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Linear Transformations
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Linear Transformations
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Linear Transformations
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| Linear Transformations The parent linear function is... | f(x) = x |
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Polynomials
TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
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| Polynomials 1. Type in the _________ 2. Type in all four answer options 3. Click the _________ on the left to view each graph one by one | 1. Type in the PROBLEM 2. Type in all four answer options 3. Click the COLORS on the left to view each graph one by one |
| Polynomials How do you use Desmos to solve? First... | Type in the problem and answers into separate rows |
| Polynomials How do you use Desmos to solve? Then... | put =5 at the end of all rows (or some other number greater than 3) |
| Polynomials How do you use Desmos to solve? Finally... | compare the curves to match the correct answer to the problem! |
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Polynomials
TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
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| Quadratic Functions All quadratic functions have __________ and they look like a ____________. | All quadratic functions have x² and they look like a U. |
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Quadratic Functions
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Quadratic Functions
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Quadratic Functions
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| Quadratic Functions What four words mean the same thing? | zero = solution = root = x-intercept |
| Quadratic Functions They are all looking for where our graph cross the __________ | x-axis |
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Quadratic Functions
Find the zeros
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The graph crosses the x-axis at x = -4 and x = 2 |
| Factors and Zeros Factors and zeros have ___________________ | opposite signs |
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Factors and Zeros
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x = -3 and x = 1 |
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Factors and Zeros
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(x - 2)(x - 4) |
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Factors and Zeros
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(x + 1)(x - 5) x = -1 and x = 5 |
| Factoring & Quadratic Functions Factors and their functions have common _____________ | x-intercepts |
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Factoring & Quadratic Functions
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B. (3x + 1) has the same x-intercept as the problem |
| Functions A function never repeats the ____________________ | x-values |
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Functions
Is this a function or not?
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NO, the x-value of 0 repeats |
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Functions
Is this a function or not?
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NO, the x-value of 2 repeats |
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Functions
Is this a function or not?
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YES, no x-value repeats |
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Functions
Is this a function or not?
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NO, fails the vertical line test. X-values of 1 and 2 repeats |
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Functions
Is this a function or not?
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YES, passes the vertical line test no x-value repeats |
| Domain and Range Domain represents... | x-values |
| Domain and Range Range represents... | y-values |
| Domain and Range For domain, scan the graph from... | left to right |
| Domain and Range For range, scan the graph from... | bottom to top |
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Domain and Range
Domain is...
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ℝ= all real numbers (-∞, ∞) |
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Domain and Range
Range is...
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{ y | y ≥ -4 } [-4, ∞) |
| Exponential Functions Exponential Functions have an ________ in the ________________. | x in the exponent |
| Exponential Functions They look like |
Curve that approaches the x-axis
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| Exponential Functions How do you know that a table represents an exponential function? | the y-values change by a common multiplier |
| Function Transformations Shift up or down | add or subtract outside x |
| Function Transformations Stretch or compress | multiply or divide |
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Function Transformations
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shift up by 4 |
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Function Transformations
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stretch by a factor of 3 |
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Function Transformations
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shift down by 4 |
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Function Transformations
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Compress by a factor of 1/3 |
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Function Transformations
Reflect over x-axis
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negative in front of expression |
| Matching Tables to Graphs/Equations How do you create a table in Desmos? | Type "table" OR click the + button in the top left corner and click table |
| Matching Tables to Graphs/Equations If you can't see the points in Desmos, what should you do? |
Click the magnifying glass in the blue column next to your table
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| Matching Tables to Graphs/Equations When you graph the correct equation, what will it look like with the points? | The correct equation will either -go through ALL the points OR -be the best match for the points out of ALL the answer options |
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Comparing Functions
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g
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Comparing Functions
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Comparing Functions
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Comparing Functions
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Comparing Functions
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| Scatterplots & Data Cycle What type of pattern do the points follow? | Linear |
| Scatterplots & Data Cycle What type of association do the points have? | negative |
| Scatterplots & Data Cycle How strong of association do the points have? | strong |
| Scatterplots & Data Cycle As age increases, the number of accidents_____ | decreases |
| Scatterplots & Data Cycle How many accidents might be associated with drivers 25 years old? | 8 |
| Scatterplots & Data Cycle A data point of 12 accidents per 100 drivers might correlate with which age? | 23 |
| Scatterplots & Data Cycle Which question below could a researcher have asked to collect this data? | How often are drivers of different ages involved in car accidents? |
| Line of Best Fit y = ________x + __________ | y = -2.14x + -0.4 |
| Curve of Best Fit y = ______x² + ______x + ________ | y = 0.98x² + -1.95x + 3.2 |
| Test Taking Skills/Strategies Did I __________each direction & question carefully and ___________? | Did I READ each direction & question carefully and COMPLETELY? |
| Test Taking Skills/Strategies What information do I see? ( _________, graphs, _________ or points) | What information do I see? (EQUATIONS, graphs, TABLES or points) |
| Test Taking Skills/Strategies What are the keywords that I see? (________, highlight, ________ with a different word/synonym) | What are the keywords that I see? (CIRCLE, highlight, REPLACE with a different word/synonym) |
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