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