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Practice Test over Linear Equations and Inequalities

#1 Solve the equation :

#2 Solve the equation :

#3 Solve the absolute value equation :

#4 Solve the absolute value equation :

#5 Solve the absolute value equation:

#6 Solve the linear inequality :

#7 Solve the linear inequality : -4x – 2 ≤ -2x + 3. Graph the solution set on a number line.

#8 Solve the linear inequality : 2 < x + 3 < 4  Graph the solution set on a number line.

#9 Solve the absolute value inequality: |x + 1| − 2 > 9. Graph the solution set on a number line .

#10 Solve the absolute value inequality: |5x − 7| − 11 ≥ -10. Write answer in set interval notation.

#11 Solve the absolute value inequality:

#12 Graph the linear equation on the provided Cartesian plane: y = -2x – 3.

#13 Graph the system of linear inequalities on the Cartesian plane: y ≤ 2 and x ≤ 1.

#14 Graph the linear inequality on the Cartesian plane: x + 2y < 4.

SOLUTIONS

#1 Solve the equation:

#2 Solve the equation:

#3 Solve the absolute value equation:

#4 Solve the absolute value equation:

#5 Solve the absolute value equation:

#6 Solve the linear inequality :

#7 Solve the linear inequality:

Graph the solution set on a number line .

#8 Solve the linear inequality:

Graph the solution set on a number line.

 

#9 Solve the absolute value inequality:

Graph the solution set on a number line.

#10 Solve the absolute value inequality:

Write answer in set interval notation.

#11 Solve the absolute value inequality:

#12 Graph the linear equation on the provided Cartesian plane: y = -2x – 3.

#13 Graph the system of linear inequalities on the Cartesian plane: y ≤ 2 and x ≤ 1.

#14 Graph the linear inequality on the Cartesian plane: x + 2y < 4.

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