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Study Guide for test on 11/22 Graph each equation 1. 2. 3. 4. 5. 6. y=1 y = -2x y=4–x y = 2x – 3 y = 5 – 2x y= 1/2x + 2 Solve each equation for the variable 7. 4x + a = 6x, for x 8. 8a + y = 16, for a 9. y = mx + b, for m 10. v = r + at, for a Simplify each expression 11.(3x + y) – (2x + y) 12. (7x – 2y) – (7x + 4y) 13. (16x – 3y) + ( 11x + 3y) 14. (8x – 4y) + (-8x + 5y) 15. 4(2x + 3y) – (8x – y) Graph each system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If it has one solution, tell what it is. 16. y = -x y = 2x 17. x + y = 8 x–y=2 18. x + y = 2 y = 4x + 7 Use substitution to solve each system of equations 19. y = 5x 2x + 3y = 34 20. y = 2x + 3 y = 4x - 1 21. 8x + 2y = 13 4x + y = 11 The base of a triangle is 4 in longer than the length of one of the other sides. The perimeter is 46 in. Use a system of equations to find the length of each side of the triangle. x x P = 46in y