Equations with One Variable Test
Solve 2.5x - 3.5 + 5.1x = 3.0 + 1.7x
x = 6.5 No - Combine like terms first, then isolate x. x = -26 No - Please review the section on combining both principles. x = 1.1017 Yes - Combine like terms; isolate the variable. x = -1.1017 No - The answer should be positive.
-1/6*x </ 3/4 + 2/3*x.
x </ -9/10 No - Remember to change the direction of the inequality when multiplying or dividing both sides of inequality by a negative number. x >/ 9/10 No - Double check your work with the signs. x = -26 No - Please review the section on inequalities. X >/ -9/10 Fist solve the fractions, then solve.
Solve |-2x + 3| = 4.
x = -1/2 No - There is one other solution. x = -202 No - Please review the section on absolute values. x = 7/2 No - There is one other solution. x = -1/2, 7/2 Yes - Set up two equations where the expression in the absolute is set to equal to 4 or -4, and solve them separately.
Solve x - 17 = 3.
x = -20 No - The answer should be positive. x = -14 No - Do no subtract 17 from both sides. X = 20 Yes - Add 17 to both side. x = 2 No - Please review the section on the addition principle.
Solve 3x = 13.
x = 10 No - Do not subtract 3 from both sides. x = 13/3 Yes - Divide both sides by 3, or multiply both sides by 1/3. x = 16 No - Do not add 3 to both sides. x = -26 No - Please review the section on the multiplication principle.
