Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

Video solutions

• Making an Input-Output Table & Graphing a Linear Function
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Complete the input-output table for the function y equals 2x minus 3 using the input values x equals negative 2, negative 1, 0, 1, and 2. Then plot the ordered pairs on a coordinate plane and describe whether t…

• Finding the Slope Between Two Points on a Graph
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Find the slope of the line passing through each pair of points. Then describe the slope as positive, negative, zero, or undefined. Part a: the points 1 comma 3 and 4 comma 9. Part b: the points negative 2 comma…

• Real-World Linear Function: Writing & Interpreting a Graph
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A service charges a flat setup fee of 40 dollars plus 12 dollars per hour. Part a: Write a linear function that represents the total cost C in dollars as a function of hours h. Part b: Identify the slope and y-…

• Plotting Points and Identifying Quadrants on the Coordinate Plane
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Plot and label each point on a coordinate plane. Then identify the quadrant or axis where each point is located. Part a: A at 3 comma 5. Part b: B at negative 4 comma 2. Part c: C at negative 1 comma negative 6…

• Graphing Linear Functions in Slope-Intercept Form
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Graph each linear function by identifying the slope and y-intercept. Label at least two points on each graph. Part a: y equals three-fourths x plus 1. Part b: y equals negative 2x plus 1. Part c: y equals x min…

• Determining Whether a Relation Is a Function
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A shop tracks the number of items sold each hour during opening hours. The data is shown in the following table. Time in hours after opening, paired with Items Sold: hour 1 sold 24 items, hour 2 sold 35 items, …

• Identifying Functions from Sets, Graphs, and Equations
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Three relations are shown. Relation A is the set of ordered pairs: negative one comma four, zero comma two, one comma zero, two comma two, and three comma four. Relation B is a graph showing points at negative …

• Evaluating and Analyzing a Linear Function
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Given the function f of x equals negative 2x plus 7, where x represents the number of video game rentals per day: Part a — Evaluate f of 3 and explain what it means in context. Part b — If the store can process…

• Finding the Linear Function from Two Points on a Graph
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A parking garage charges a base fee plus an hourly rate. After 2 hours, the total charge is 16 dollars. After 5 hours, the total charge is 31 dollars. Write a linear function f of h that represents the total co…

• Interpreting Linear Functions in Real-World Context
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A phone company's monthly bill is modeled by the function c of m equals 35 plus 0.12 times m, where m is the number of minutes used and c of m is the total cost in dollars. Part a: Identify the y-intercept and …

• Writing and Comparing Linear Function Rules
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Two fitness centers offer membership plans. Center A charges 40 dollars per month with no enrollment fee. Center B charges 25 dollars per month with a 90 dollar enrollment fee. Part a: Write linear functions f …

• Finding Function Values from an Equation
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Let f of x equal negative 2x plus 7. Find f of negative 3, f of 0, and f of 5. Then explain what each result represents as a point on the graph of f. Finding Function Values from an Equation This lesson cover…

• Writing and Using a Function Model
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A cell phone plan charges a 15-dollar monthly fee plus 8 cents per minute of talk time. Write a function C of m that gives the total monthly cost in dollars for m minutes of talk time. Then find C of 200 and C …

• Solving Equations Using Function Notation
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Let g of x equal 3x minus 4. For what value of x does g of x equal 11? Verify your solution and describe the corresponding point on the graph of g. Solving Equations Using Function Notation This lesson demons…

• Converting Standard Form to Graph
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A bakery's revenue equation is given in standard form: 3x plus 4y equals 24, where x represents the number of loaves sold and y represents the number of pastries sold. Convert this equation to slope-intercept f…

• Standard Form with Negative Coefficients
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Graph the equation 5x minus 2y equals 10 using the standard form method. Find both intercepts algebraically, plot them on a graph, and draw the line. Then determine three points that lie on this line and verify…

• Finding Slope and Y-Intercept from an Equation
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Write the equation y equals negative 3 x plus 7 in slope-intercept form and identify the slope and y-intercept. Then describe what each value tells you about the graph. Finding Slope and Y-Intercept from an Eq…

• Graphing Using Slope-Intercept Form
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Graph the equation y equals two-fifths x minus 4 by first plotting the y-intercept, then using the slope to find at least two more points. Verify that all points satisfy the equation. Graphing Using Slope-Inte…

• Converting Standard Form to Slope-Intercept Form and Graphing
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Convert the equation 3x plus 2y equals 12 to slope-intercept form. Then identify the slope and y-intercept, and sketch the graph using these values. Converting Standard Form to Slope-Intercept Form and Graphin…

• Direct Variation: Recipe Scaling Problem
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A recipe for trail mix requires 3 cups of nuts for every 2 cups of dried fruit. Write a direct variation equation relating the cups of nuts, n, to the cups of dried fruit, d. Then determine how many cups of nut…

• Direct Variation: Hourly Earnings Model
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: A worker earns 14 dollars and 50 cents per hour. Write a direct variation equation where earnings, e, vary directly with hours worked, h. If the worker needs to earn 232 dollars, how many hours must they work? …

• Direct Variation: Distance-Speed Relationship
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Two cars travel at constant speeds. Car A travels 156 miles in 3 hours, and Car B travels 117 miles in 2.25 hours. Write a direct variation equation for each car relating distance d to time t. Which car is fast…

• Vertical Shift of a Linear Function
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: The graph of f of x equals 2x is shifted up 5 units to create a new function g of x. Write the equation for g of x and identify the y-intercept of the new function. Then describe how the slope is affected by th…

• Horizontal Shift and Reflection Combined
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: Start with the parent function f of x equals x. First shift the graph 3 units to the right, then reflect it across the x-axis to create function h of x. Write the equation for h of x. Verify your equation by te…

• Multiple Transformations and Function Composition
  Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 3-

  Question: The linear function p of x equals negative 3x plus 2 undergoes the following transformations in order: first, shift left 4 units; second, stretch vertically by a factor of 2; third, shift down 6 units. Write th…

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