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Solving Systems of Equations by Graphing: Homework Assignment

This homework assignment focuses on solving systems of equations using graphing techniques. Students will practice graphing different equations, identifying points of intersection, and checking their solutions for accuracy. Exercises include linear functions such as (y = -3x + 2) and (y = frac{1}{2}x - 3), along with real-world applications like predicting life expectancy. Students should complete problems #3-9 and #69 on page 141, due Tuesday.

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Solving Systems of Equations by Graphing: Homework Assignment

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  1. Homework: pg 141 #3-9, 69 – due Tuesday Unit 1: Everything Linear Section 6: Solving Systems of Equations with Graphing Learning Target: Students will solve systems of equations by graphing and relate to real-world situations.

  2. Ex 1: Solve y = -3x + 2 for x and y.       y = 2x - 3 • Graph both equations. • Find where they meet each other. ( , ) • Check your solution in both equations.

  3. Ex 2: Solve y = ½x -3 for x and y.       y = 2x • Graph both equations. • Find where they meet each other. ( , ) • Check your solution in both equations.

  4. Ex 3: Solve y = -½x + 4 for x and y.       y = -½x - 5 • Graph both equations. • Find where they meet each other. • What do you think your solution is this time?

  5. Ex 4: Use the graphing calculator to predict at what year men and women will live to an equal age. U.S. Life Expectancy at Birth

  6. Directions for graphing calculator. • Re-number the years starting by changing 1970 to 0, then 1975 is 5, and so on. • Go to STAT and EDIT. Enter the chart into L1, L2 and L3. • To get the equation for the Men through the Years: Hit STAT Go over to CALC Hit LINREG (ax+b) L1, L2 *the comma is above 7 *L1 is above 1 *L2 is above 2 Hit ENTER and write the equation (round 3 decimal places) • To get the equation for the Women through the years: Hit STAT Go over to CALC Hit LINREG (ax + b) L1, L3 Hit ENTER and write the equation. • Go to Y= and enter both equations into the calculator. • Hit ZOOM and ZOOMFIT (this is 0) • Hit 2ND and TRACE and INTERSECT (5) • Hit ENTER 3 times • Round the x-value to the nearest whole number and figure out which year that would be

  7. HOMEWORK • Pg141 #3-9, 69 * Due on Tuesday

  8. Ex 2: Solve y = ½x -3 for x and y.       3x + 2y = 2 • Graph both equations. Solve 2nd equation for y = mx + b • Find where they meet each other. ( , ) • Check your solution in both equations.

  9. Ex 2: Solve y = 5/3 x - 2 for x and y.       10x - 6y = 12

  10. What is the difference between Many Solutions and No Solutions? Describe what their equations look like and what their graphs look like.

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