Chapter 1 Review: Solving Equations in Algebra

University:
High School
Course:
High School Algebra
Academic year:

2021
Views:

29

Pages:

4
Author:

Ghazzal3w

1. 2x + 3 = -6 * 2x = -9 * x = -9/2 2. -2x/0.2 = 0.2t/0.2 * -13 = t 3. -8/n = -2 * -5(-8) = -2(-5) * n = 10 4. 3y + y = -16 * 4y = -16 * y = -4 5. 6 = 1 - b * -1 = -b * 1 = b * -5 = b 6. n + 5n + 7 = 43 * 6n + 7 = 43 * 6n = 36 * n = 6 7. -4(2z + 6) - 12 = 4 * -8z - 24 - 12 = 4 * -8z - 36 = 4 * -8z = 40 * z = -5 8. 3/2(x - 2) - 5 = 19 * 3/2x - 6/2 - 5 = 19 * 3/2x - 8 = 19 * 3/2x = 27 * x = 18 9. 6 = 1/5w + 7/5w - 4 * 6 = 8/5w - 4 * 10 = 8/5w * 50 = 8w * w = 50/8 = 25/4 = 6.25 10. * Sum of angles in a triangle = 180° * 5x + 2x + 110 = 180 * 7x + 110 = 180 * 7x = 70 * x = 10 11. * 3(x - 30) + 2(x) = 540 * 3x - 90 + 2x = 540 * 5x - 90 = 540 * 5x = 630 * x = 126 * x - 30 = 96 12. * 3n - 3 = 4n + 1 * -3n = 4n + 4 * -7n = 4 * n = -4/7 13. * 5(1 + x) = 5x + 5 * 5 + 5x = 5x + 5 * 5 = 5 * Infinite Solutions 14. * 3(n + 4) = 1/2(6n + 4) * 3n + 12 = 3n + 2 * 12 = 2 * No Solution 15.) |y + 3| = 17 y + 3 = 17 y = 14 y + 3 = -17 y = -20 Both check out correctly 16.) -2|5w - 7| + 8 = -9 -2|5w - 7| = -17 |5w - 7| = 8.5 5w - 7 = 8.5 5w = 15.5 w = 3.1 5w - 7 = -8.5 5w = -1.5 w = -0.3 Both check out correctly 17.) |x - 3| = |4 + x| x - 3 = 4 + x x = 7 + x No Solution x - 3 = -(4 + x) x - 3 = -4 - x 2x = -1 x = -1/2 18.) 2x - 4y = 20, for y 2x - 4y = 20 -4y = -2x + 20 y = 1/2x - 5 19.) 8x - 3 = 5 + 4y, for y 8x - 3 = 5 + 4y 8x - 8 = 4y 2x - 2 = y