35017971
Description
Flashcards by Aarthi Vadhanam, updated more than 1 year ago
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Created by Aarthi Vadhanam
over 2 years ago
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| Question | Answer |
| Translating Expressions (A.1a): Translate from left to right unless you see a... | turn-around phrase |
| Translating Expressions (A.1a): Examples of turn-around words (phrases like...) | less than, subtracted from, reduced by, decreased by, fewer than |
| Translating Expressions (A.1a): Sum of, difference of, product of all mean we should use... | parentheses |
| Translating Expressions (A.1a): Translate the following: Two times the sum of a number and four | 2(x + 4) |
| Translating Expressions (A.1a): Translate the following: Five less than a number squared | x² - 5 |
| Evaluating Expressions (A.1b): In Desmos, how do you make... √ | 1) Type "sqrt" or 2) find the symbol on the Desmos keypad |
| Evaluating Expressions (A.1b): In Desmos, how do you make... ∛ | 1) Type "cbrt" or 2) open the Desmos keypad -click Functions -click Misc -click the one that looks like a radical -type a "3" into the root |
| Evaluating Expressions (A.1b): In Desmos, how do you make... absolute value bars (| |) |
Open the Desmos keypad and look for
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| Evaluating Expressions (A.1b): In Desmos, how do you make... an exponent |
1) Keyboard: shift and 6 (to get ^)
2) Desmos keypad: click the button below
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| Evaluating Expressions (A.1b): In Desmos, how do you make... a big fraction | Click the divide key on the Desmos keypad or click / on your keyboard |
| Evaluating Expressions (A.1b): What letters can you make into sliders? | Any letter except x or y |
| Evaluating Expressions (A.1b): 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 |
| Radicals (A.3): What does simplest form mean? | smallest number/coefficient INSIDE the radical |
| Equations (A.4a): How do you use Desmos to solve an equation? Which letter must you use for the variable? | -Type the equation into Desmos exactly as you see it -Look for the vertical line on your graph -click the gray dot. Use the variable x |
| Systems of Equations (A.4d): The solution to two or more equations is where the lines... | intersect/cross/meet (x,y) |
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Systems of Equations (A.4d):
Find the solution
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(-2, 3) |
| Systems of Equations (A.4d): Find the solution x + y = 7 2x + 3y = 10 | Type both into Desmos! Solution: (11, - 4) |
| 1-Variable Inequalities (A.5a): Graph an inequality in Desmos using the variable... | x |
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1-Variable Inequalities (A.5a):
write the inequality for the graph
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x > 8 |
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1-Variable Inequalities (A.5a):
write the inequality for the graph
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x < 8 |
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1-Variable Inequalities (A.5a):
write the inequality for the graph
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x ≤ 8 |
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1-Variable Inequalities (A.5a):
write the inequality for the graph
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x ≥ 8 |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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Yes, it's in the shaded region |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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No, it's on a dashed line |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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Yes, it's on a solid line |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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Yes, it's on solid lines and it surrounds the darkest shaded region |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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No, it's on a dashed line |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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No, it's not in the darkest shaded region |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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No, it's not in the shaded region |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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No, it's not in or surrounding the darkest shaded region |
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2-Variable Inequalities (A.5bd):
Is the point a solution?
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Yes, it's on a solid line around the darkest shaded region |
| Slope (A.6a): in y = mx + b, where is the slope? the y-intercept? | The slope is m, the number in front of the x The y-intercept is b |
| Slope (A.6a): What is the slope formula? |
(y-y)/(x-x)
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| Slope (A.6a): Substitute into the slope formula (3, -5) and (-4, 7) |
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| Slope (A.6a): Slope is also ___________/___________ | Rise over run |
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Slope (A.6a):
Find the slope
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m = 1/3. Count up 1 and over 3 using the points (0,0) and (3,1) |
| Equations of Lines (A.6b): Parallel means... |
Two lines that never intersect. They have the same slope and different y-intercepts.
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| Equations of Lines (A.6b): Perpendicular means... |
Two lines that intersect at a 90 degree angle.
Their slopes are opposite reciprocals (one positive, one negative, and flipped fractions)
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| Variation (A.8): In direct variation, ___________ the x and y values | divide |
| Variation (A.8): Direct variation looks like |
a straight line with positive slope and a y-intercept of 0
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| Variation (A.8): In inverse variation, ___________ the x and y values | multiply |
| Variation (A.8): Inverse variation looks like |
a curve that gets really close to the y- and y-axis but never touches either
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| Polynomials (A.2ab): When your problem and answers only have x’s, how do you you use Desmos? | Type all into separate rows in Desmos. The correct answer matches the exact curve or line that the problem makes! |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
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D: has the same curve as the problem |
| Polynomials (A.2ab): When your problem and answers have both x’s and y’s, how do you you use Desmos? | Type all into separate rows in Desmos AND put =5 (or some other number greater than 3) into each row so you can see the lines/curves! |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
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A: has the same curve as the problem |
| Quadratic Functions (A.4b): What four words mean the same thing? | Zero, solution, root, x-intercept. |
| Quadratic Functions (A.4b): The words zero, solution, root, x-intercept are all looking for where our graph crosses... | the x-axis |
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-4 and 2 |
| Quadratic Functions (A.4b): Factors have the same _____________ as the functions. | x-intercepts |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
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B: has the same x-intercept of -0.333 |
| Functions (A.7a): A function never repeats... | any x-values |
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Functions (A.7a):
Is it a function?
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No, the x-value 0 repeats |
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Functions (A.7a):
Is it a function?
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No, the x-value 2 repeats |
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Functions (A.7a):
Is it a function?
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Yes, no x-value repeats |
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Functions (A.7a):
Is it a function?
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No, fails the vertical line test. The x-values 1 and 2 repeat |
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Functions (A.7a):
Is it a function?
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Yes, it passes the vertical line test. No x-value repeats |
| Domain and Range (A.7b): Domain means... | All the x-values |
| Domain and Range (A.7b): Domain means we scan the graph from.... | left to right |
| Domain and Range (A.7b): Range means... | all the y-values |
| Domain and Range (A.7b): Range means we scan the graph from... | bottom to top |
| Domain and Range (A.7b): ℝ means... | all real numbers any number you could possibly think of is included in the domain or range |
| Domain and Range (A.7b): ℝ (all real numbers) in interval notation is... | (-∞, ∞) |
| Matching Tables to Graphs/Equations (A.7f): How do you make a table in Desmos? | 1) Type "table" or 2) click the + in the top left corner -click table |
| Matching Tables to Graphs/Equations (A.7f): If you can’t see the points in Desmos (from a table), what do you do? | Click the magnifying glass in the blue column next to your table |
| Matching Tables to Graphs/Equations (A.7f): When you graph the correct equation, what will it look like with the points? | The correct equation will be a line or curve that goes through all the points! Or it matches the points better than any of the other options. |
| Factoring (A.2c): 1. Type the problem into Desmos 2. Next row, type gcf(#, #, #) of the ________________________. 3. Select that number. 4. Type your other options into Desmos 5. Select all that have the same ___________________ as your polynomial. | 2. Coefficients (numbers in front the variables) 5. x-intercepts |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
Identify the factors of this polynomial:
9x² - 39x - 30
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3: you get this from gcf( 9, 39, 30) 3x + 2: same x-int of -0.667 x-5: same x-int of 5 |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
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y = -2.14x + -0.4 |
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TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD
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y = 0.98x² + -1.95x + 3.2 |
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