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Name: ____________ Integrated Algebra 1 Advanced Unit 2 Formative 3 Review Graph each inequality in the coordinate plane. 1. y 1 x6 2 2. 𝑥 < 4 y y x x 3. 2 x y 4 4. 10 ≥ 2𝑥 + 5𝑦 y y x x Write the linear inequality for the given graphs. 5. _________________________ 6. ____________________________ 7. You and some friends have $30. You want to order large pizzas (p) that are $9 each and drinks (d) that cost $1 each. Write and graph an inequality that shows how many pizzas and drinks can you order. 8. Explain the steps in graphing the following: 𝒚 < −𝟐𝒙 + 𝟑 Write your answers in complete sentences y x 9. What is the slope of a line parallel to y = -2x + 7 ? 10. What is the slope of a line perpendicular to y = -2x + 7 ? 11. What is the slope of a line parallel to 4x – 2y = -8 ? 12. What is the slope of a line perpendicular to 4x – 2y = -8 ? 13. What is the slope of a line parallel to x = 5 ? 14. What is the slope of a line perpendicular to x = 5 ? 15. Write an equation in slope intercept form of the line parallel to 2x + 6y = -12 and passes through the point (-3, 5). 16. Write an equation in slope intercept form of the line perpendicular to 5x – 2y = 10 and passes through the point (-1, -2). 17. Write an equation in standard form of a line perpendicular to y = 8 through the point (-4, 8). Parallel, Perpendicular, or Neither 18. y = ½x – 7 6x + 3y = 15 _____________________ 19. y = -3x 3x – y = 6 _____________________ 20. x = -9 -7 = 3 + x _____________________ 22. Circle all of the equations that are parallel to each other. 2 3 𝑦 = 3𝑥 − 4 𝑦 = − 2𝑥 −6𝑥 + 2𝑦 = −12 2𝑥 − 3𝑦 = −15 21. y=7 2x – 5y = 3 _____________________ 2 𝑦 = 3𝑥 2 3 =𝑦 2 −4𝑥 + 6𝑦 = 6 𝑥+𝑦 =3 23. Are any of the lines in #14 perpendicular? 1 24. Write the equation of a line in slope-intercept form perpendicular to 𝑦 = − 4 𝑥 + 3 that has an x-intercept of 5. 4 25. Write the equation of a line in slope-intercept form parallel to 𝑦 = 5 𝑥 − 2 that has a yintercept of 3.