# Algebra Problems

You may solve a set of 10 questions with their detailed solutions and also a set of 50 questions, with their answers, in the applet to self test you background on how to

1. Solve linear equations.
2. Simplify algebraic expressions.
3. Simplify absolute value expressions.
4. Find the distance between two points.
5. Find x intercept(s) of the graph of an equation.
6. Evaluate functions.
7. Find the slope of a line passing through two points.
8. Find slope of a line from its equation.
9. Find equation of a line.
10. Solve equation with absolute value

## Algebra Problems with Detailed Solutions

Problem 1: Solve the equation

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Problem 2: Simplify the expression

2(a -3) + 4b - 2(a -b -3) + 5

Problem 3: If x <2, simplify

|x - 2| - 4|-6|

Problem 4: Find the distance between the points (-4 , -5) and (-1 , -1).

Problem 5: Find the x intercept of the graph of the equation .

2x - 4y = 9

Problem 6: Evaluate f(2) - f(1)

f(x) = 6x + 1

Problem 7: Find the slope of the line passing through the points (-1, -1) and (2 , 2).

Problem 8: Find the slope of the line

5x - 5y = 7

Problem 9: Find the equation of the line that passes through the points (-1 , -1) and (-1 , 2).

Problem 10: Solve the equation

|- 2 x + 2| - 3 = -3