### Chapter 4 - Algebra Coach Exercises

Algebra Coach Exercise on solving equations in which the unknown occurs only once.
Solve each of the following equations. To do this drag-and-drop each of them into the Algebra Coach and click the AutoSolve button. (For questions 1 to 3 solve for x, for questions 4 to 6 solve for A, y and n respectively. Note that you must set the Autosolve variable or unknown before clicking on AutoSolve.)
1. sqrt(x - 5) = 2
2. sqrt(x) - 5 = 2
3. 3 / x = 2 / 5
4. 3 / (A + 5) = 6 / 13
5. (9 y - 2 z) / 3 = -4
6. 5 (n - 12) = a

Algebra Coach Exercise on solving equations of the form a · b = 0.
Solve each of the following equations for x. To do this drag-and-drop each of them into the Algebra Coach and click the AutoSolve button.
1. (x + 5)(x - 4) = 0
2. x (x - 1) (x - 2) (x - 3) = 0
3. (x - 1)(x - 1) = 0

Algebra Coach Exercise on solving linear equations.
Solve each of the following equations for x. To do this drag-and-drop each of them into the Algebra Coach and click the AutoSolve button.
1. 6 x + 3 = 2 x + 11
2. 8 ( 2 x + 1) = 4 (7 x + 7)
3. a + 5 x - 7 = b - 4 x - 2
4. x / 4 + 2 / 3 = 2 x / 5

5. 0.96 x - 0.79 = 0.21 x + 0.46
6. 6 ( 2 x - 1) - 12 = 12(x - 1) + 7
7. 3 (2 x + 8) = 20 - (x + 5)
8. a x + b = c x + d