Linear Equations Standard Form Graphs to equations Equations

Linear Equations Standard Form Graphs to equations Equations to Graphs Finding values Problem solving 100 100 100 500 500 500 1000 1000 Bonus Question: 5000 pts

Standard Form : 100 • Question: • Write this equation in standard form using integers: y = -⅔x - 1 • Answer • 2 x + 3 y = -3 Back

Standard Form : 500 • Question: • Write this equation in standard form using integers: y – 4 = -2(x – 3) • Answer • 2 x + y = 10 Back

Standard Form : 1000 • Question: • CHALLENGE QUESTION: Write an equation in standard form of a line that contains the point (-4, -7) and has the same slope as the graph of y + 3 = 5(x + 4) • Answer • First, put in point slope: y + 4 = 5(x + 7) Then, put in standard form: – 5 x + y = 31 Back

Graphs to equations : 100 • Question: • Write an equation of this line in slope intercept form: • Answer • y = 2 x - 3 Back

Graphs to equations : 500 • Question: • Write an equation of this line in point-slope form. Label which point you use. • Answer • y – 2 = (5/2) (x – 1) [answers will vary] Back

Graphs to equations 1000 : • Question: • Write an equation for this line in slope-intercept form, point-slope form using (3, 4), AND standard form using integers. Back • Answer • Slope-intercept: y = -⅔x + 6 Point-slope: y – 4 = -⅔ (x – 3) Standard: 2 x + 3 y = 18

Equations to Graphs • Question: : 100 • Graph the equation: y + 5 = -(x – 2) • Answer Back

Equations to Graphs : 500 • Question: • Graph the equation 2 x + 4 y = 12 • Answer Back

Equations to Graphs : 1000 • Question: • Graph the equation -8 x – 4 y = 0 • Answer Back

Finding values : 100 • Question: • What is the slope and point used to create this equation in point-slope form? y – 10 = -2(x – 1) • Answer • Slope: -2 Back. Point: (1, 10)

Finding values : 500 • Question: • What are the x- and y- intercepts of this line: 3 x – 5 y = -75 • Answer • x-intercept: -25 y-intercept: 15 Back

Finding values : 1000 • Question: • What is the x-intercept, y-intercept, and slope of this line: 2 x + 4 y = 8 • Answer • x-intercept: 4; y-intercept: 2 slope: -½ Back

Problem solving : 100 • Question: • In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. Write an equation that represents the number of jewels and stars you must find to earn 250 points. • Answer • 5 j + 2 s = 250 Back

Problem solving : 500 • Question: • In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. What are three combinations of jewels and stars you can find that will earn you 250 points? • Answers will vary. Back

Problem solving : 1000 • Question: • Kanapaha Middle School is having a talent show to raise money for new band supplies. You think that 200 students and 150 adults will attend. It will cost $200 to put on the talent show. Write and graph an equation that describes the ticket prices you can set for students and adults to raise $1000. • Answer Back • Equation: 200 s + 150 a = 1000 + 200