Practice with Solving Linear Inequalities Topic Index | Algebra Index | Regents Exam Prep Center

1.

Solve:   3x - 7 < 2

 Answer 3x - 7 < 2 3x < 9 x < 3

2.  Which of the following is the graph of:      y
 a. Choose one: a b c b. Answer choice b < or = means a closed circle. < means the arrow goes to the left. c.

 3 Solve:    2x - 5 > x - 2 Answer Subtract x :  x - 5 > -2 Add 5:        x > 3

 4 Solve:    2 - 5x 3x - 14 Answer Subtract 2 :  -5x >= 3x-16 Subtract 3x :   -8x >= -16 Divide by -8 and change the inequality   x <= 2

5.  Which of the following is the graph of:      x > -2
 a. Choose one: a b c d b. c. Answer Since it's greater than but not equal to, use an open circle. Greater than means to the right of the number. So the answer is choice d. d.

 6 Solve:   2(y + 1) y - 4 Answer Multiply through the parentheses:  2y+2 <= y-4 Subtract y :  y+2<= -4 Subtract 2 :  y<= -6 We don't change the direction of the inequality, because we didn't multiply or divide by a negative.

7.
 Which value of x is in the solution set of the inequality:             -2x + 5 > 17 ? Choose one: -8 -6 -4 12

 Topic Index | Algebra Index | Regents Exam Prep Center Created by Michael Murray