### 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.)
- sqrt(x - 5) = 2
- sqrt(x) - 5 = 2
- 3 / x = 2 / 5
- 3 / (A + 5) = 6 / 13
- (9 y - 2 z) / 3 = -4
- 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.
- (x + 5)(x - 4) = 0
- x (x - 1) (x - 2) (x - 3) = 0
- (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.
- 6 x + 3 = 2 x + 11
- 8 ( 2 x + 1) = 4 (7 x + 7)
- a + 5 x - 7 = b - 4 x - 2
- x / 4 + 2 / 3 = 2 x / 5

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