Expanded Algebra I SOL Vocabulary & Strategy Guide

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accompanies booklet
Aarthi Vadhanam
Flashcards by Aarthi Vadhanam, updated more than 1 year ago
Aarthi Vadhanam
Created by Aarthi Vadhanam over 1 year ago
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Question Answer
A.1a Translating Expressions Translate from left to right unless you see a... turn-around phrase
A.1a Translating Expressions Examples of turn-around phrases are... less than subtracted from reduced by fewer than decreased by lower than
A.1a Translating Expressions Sum of, difference of, product of all mean we should use... parentheses
A.1a Translating Expressions Translate the following: Two times the sum of a number and four 2(x + 4)
A.1a Translating Expressions Translate the following: Five less than a number squared x² - 5
A.1b Evaluating Expressions In Desmos, how do you make... √ 1) Type "sqrt" or 2) find the symbol on the Desmos keypad
A.1b Evaluating Expressions In Desmos, how do you make... ∛ 1) Type "cbrt" or 2) open the Desmos keypad -> click functions -> scroll to bottom
A.1b Evaluating Expressions In Desmos, how do you make... absolute value bars (| |) Open the Desmos keypad and look for
A.1b Evaluating Expressions In Desmos, how do you make... an exponent 1) Keyboard: shift and 6 (to get ^) 2) Desmos keypad: click the button
A.1b Evaluating Expressions In Desmos, how do you make... a big fraction Click the divide key on the Desmos keypad or click / on your keyboard
A.1b Evaluating Expressions What letters can you make into sliders? Any letter except x or y
A.1b 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
A.3a Radicals What does simplest form mean? smallest number/coefficient INSIDE the radical
A.3a Radicals Which is simpler? Why? √32 or 4√2 4√2 because 2 is smaller than 32
A.3a Radicals TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
A.3bc 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
A.3bc Cube Roots & Radical Operations After he typed 4, CLICK OUT of the radical before typing - 6
A.3bc Cube Roots & Radical Operations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
A.4ae 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 dot on the line. x= that number
A.4ae Equations & Word Problems Which letter must you use for the variable? only x
A.4ae 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
A.4c Literal Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Solve for x: 180 = 2x + y
A.4d Systems of Equations The solution to two or more equations is where the lines... intersect/cross/meet
A.4d Systems of Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD Find the solution Solution is (-2, 1)
A.4d Systems of Equations TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD x + y =7 2x + 3y =10 Type into Desmos! Solution is (11,-4)
A.4de 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?
A.4de 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?
A.5a One-Variable Inequalities Graph an inequality in Desmos using the variable... x
A.5a One-Variable Inequalities Write the inequality for the graph x > 8
A.5a One-Variable Inequalities Write the inequality for the graph x < 8
A.5a One-Variable Inequalities Write the inequality for the graph x ≤ 8
A.5a One-Variable Inequalities Write the inequality for the graph x ≥ 8
A.5a 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
A.5c Inequality Word Problems What words represent Less than < fewer than below under
A.5c Inequality Word Problems What words represent Greater than > more than over above exceeds
A.5c 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
A.5c Inequality Word Problems What words represent Greater than or equal to ≥ at least no fewer no less not under not below minimum
A.5c 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.
A.5bd Two-Variable Inequalities Is the point a solution? YES it's in the shaded region
A.5bd Two-Variable Inequalities Is the point a solution? NO it's on a dotted line
A.5bd Two-Variable Inequalities Is the point a solution? YES it's on a solid line
A.5bd Two-Variable Inequalities Is the point a solution? YES it's on solid lines near the darkest area
A.5bd Two-Variable Inequalities Is the point a solution? NO it's on a dashed line
A.5bd Two-Variable Inequalities Is the point a solution? NO it's not in the darkest area
A.5bd Two-Variable Inequalities Is the point a solution? NO it's not in the shaded area
A.5bd Two-Variable Inequalities Is the point a solution? NO it's not in the darkest area
A.5bd Two-Variable Inequalities Is the point a solution? YES it's on a solid line in the darkest area
A.6a Slope Slope is always... in front of the x when the equation says y=
A.6a Slope What is the slope formula? m =
A.6a Slope Substitute into the slope formula (3, -5) and (-4, -7)
A.6a Slope Slope is also ______/________ rise/run
A.6a Slope Find the slope
A.6a Slope Which equations represents the line that passes through the points (-4, 4) and (8, -2)?
A.6a Slope
A.6b Linear Equations Parallel means... never intersecting, same slope and different y-intercepts
A.6b Linear Equations Perpendicular means... opposite reciprocal slope and lines intersecting at a 90 deg angle
A.6b Linear Equations Thru Pt 1. Type in the equation from the ____________ problem
A.6b Linear Equations Thru Pt 2. Type in the _______ given in the problem point
A.6b Linear Equations Thru Pt 3. Type in all _______ answer choices four
A.6b Linear Equations Thru Pt 4. Eliminate any answer options that do not pass through the __________ point
A.6b Linear Equations Thru Pt 5. Select the answer that passes through your point AND is ____________ to your line parallel
A.2ab Polynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
A.2ab 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
A.2ab Polynomials How do you use Desmos to solve? First... Type in the problem and answers into separate rows
A.2ab Polynomials How do you use Desmos to solve? Then... put =5 at the end of all rows (or some other number greater than 3)
A.2ab Polynomials How do you use Desmos to solve? Finally... compare the curves to match the correct answer to the problem!
A.2ab Polynomials TRY THIS PROBLEM YOURSELF BEFORE YOU FLIP THE CARD
A.4b Quadratic Functions What four words mean the same thing? zero = solution = root = x-intercept
A.4b Quadratic Functions They are all looking for where our graph cross the __________ x-axis
A.4b Quadratic Functions Find the zeros The graph crosses the x-axis at x = -4 and x = 2
A.2c Factoring Factors have the same _____________ as the function x-intercept
A.2c Factoring B. (3x + 1) has the same x-intercept as the problem
A.7a Functions A function never repeats the ____________________ x-values
A.7a Functions Is this a function or not? NO, the x-value of 0 repeats
A.7a Functions Is this a function or not? NO, the x-value of 2 repeats
A.7a Functions Is this a function or not? YES, no x-value repeats
A.7a Functions Is this a function or not? NO, fails the vertical line test. X-values of 1 and 2 repeats
A.7a Functions Is this a function or not? YES, passes the vertical line test no x-value repeats
A.7b Domain and Range Domain represents... x-values
A.7b Domain and Range Range represents... y-values
A.7b Domain and Range For domain, scan the graph from... left to right
A.7b Domain and Range For range, scan the graph from... bottom to top
A.7b Domain and Range Domain is... ℝ= all real numbers (-∞, ∞)
A.7b Domain and Range Range is... { y | -4 ≤ y } [-4, ∞)
A.8 Variation With direct variation, ____________ the x and y values to get the same positive number Divide. Line with positive slope and y-intercept of 0
A.8 Variation With inverse variation, _______________ the x and y values to get the same positive number Multiply. Curve that gets close to x- and y-axis but never touches
A.7f 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
A.7f 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
A.7f 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
A.9 Line of Best Fit y = ________x + __________ y = -2.14x + -0.4
A.9 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) Test Taking Skills/Strategies 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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