# 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

- Solve linear equations.
- Simplify algebraic expressions.
- Simplify absolute value expressions.
- Find the distance between two points.
- Find x intercept(s) of the graph of an equation.
- Evaluate functions.
- Find the slope of a line passing through two points.
- Find slope of a line from its equation.
- Find equation of a line.
- Solve equation with absolute value

## Algebra Problems with Detailed Solutions

Problem 1: Solve the equation

Problem 2: Simplify the expression

Problem 3: If x <2, simplify

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 .

Problem 6: Evaluate f(2) - f(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

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

Problem 10: Solve the equation

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