Algebra I SOL Vocabulary & Strategies

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Accompanies the booklet.
Aarthi Vadhanam
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Aarthi Vadhanam
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Resumen del Recurso

Pregunta Respuesta
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
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
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)
Systems of Equations (A.4d): Find the solution (-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
1-Variable Inequalities (A.5a): write the inequality for the graph x > 8
1-Variable Inequalities (A.5a): write the inequality for the graph x < 8
1-Variable Inequalities (A.5a): write the inequality for the graph x ≤ 8
1-Variable Inequalities (A.5a): write the inequality for the graph x ≥ 8
2-Variable Inequalities (A.5bd): Is the point a solution? Yes, it's in the shaded region
2-Variable Inequalities (A.5bd): Is the point a solution? No, it's on a dashed line
2-Variable Inequalities (A.5bd): Is the point a solution? Yes, it's on a solid line
2-Variable Inequalities (A.5bd): Is the point a solution? Yes, it's on solid lines and it surrounds the darkest shaded region
2-Variable Inequalities (A.5bd): Is the point a solution? No, it's on a dashed line
2-Variable Inequalities (A.5bd): Is the point a solution? No, it's not in the darkest shaded region
2-Variable Inequalities (A.5bd): Is the point a solution? No, it's not in the shaded region
2-Variable Inequalities (A.5bd): Is the point a solution? No, it's not in or surrounding the darkest shaded region
2-Variable Inequalities (A.5bd): Is the point a solution? 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)
Slope (A.6a): Substitute into the slope formula (3, -5) and (-4, 7)
Slope (A.6a): Slope is also ___________/___________ Rise over run
Slope (A.6a): Find the slope 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.
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)
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
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
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!
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD 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!
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD 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
-4 and 2
Quadratic Functions (A.4b): Factors have the same _____________ as the functions. x-intercepts
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD B: has the same x-intercept of -0.333
Functions (A.7a): A function never repeats... any x-values
Functions (A.7a): Is it a function? No, the x-value 0 repeats
Functions (A.7a): Is it a function? No, the x-value 2 repeats
Functions (A.7a): Is it a function? Yes, no x-value repeats
Functions (A.7a): Is it a function? No, fails the vertical line test. The x-values 1 and 2 repeat
Functions (A.7a): Is it a function? 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
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD Identify the factors of this polynomial: 9x² - 39x - 30 3: you get this from gcf( 9, 39, 30) 3x + 2: same x-int of -0.667 x-5: same x-int of 5
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD y = -2.14x + -0.4
TRY THIS PROBLEM YOURSELF IN DESMOS FIRST BEFORE YOU FLIP THE CARD y = 0.98x² + -1.95x + 3.2
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