One-Step & Two-Step Inequalities
Which of the following values is NOT a solution to 3p + 2 < -4?
2
Which of the following values is a solution to -4 ≤ x < 3?
-4
71
Solve for v: |-3v - 5| = 7
v = -4 and v = 2/3
The perimeter of a rectangle with width 2x and length 5x + 3 is equal to 90. Find x
x = 6
Solve the inequality: 9 - 4v ≤ e - 3
v≥3
Solve the inequality: -8 + 7a ≤ 4 -3a
a ≤ 6/5
Evaluate b2 -4ac when a = 3, b = -6, and c = 2
12
Describe the graph of x ≤ 2
Closed cirlce at 2 with an arrow pointing left
Maya is going to an amusement park. Parking is a flat fee of $15, and ride passes cost $12 each. Write an inequality showing the maximum number of ride passes, r, she can buy if she has at most $75.
15 + 12r ≤ 75
Solve the inequality: -20 ≥ 5x
x ≤ -4
Solve the compound inequality: 4 ≤ 3x + 1 < 13
1 ≤ x < 4
Solve for z: -6z -12 + 2z = 4
z = -4
Solve and Describe the graph for: |2x + 4| ≤ 8
-6 ≤ x ≤ 2
A batting cage charges a $6 entrance fee plus $10 per hour. Write an inequality for how many hours, x, you can practice if you have at most $50.
6 + 10x ≤ 50
Solve the inequality: 4/5x -2 < -10
x < -10
Solve the compound inequality: 3x + 4 ≤ − 2 or 3x + 4 > 10
x ≤ -2 or x > 2
Solve for z in terms of x, y, and w: x = zw + 7
z= x-y/w
Solve and describe the graph for |x + 4| ≥ 5
x ≤ -9 or x ≥ 1
You have $30.00 to spend at a fair. Admission is $10.00 and each ride costs $2.50. Prove mathematically whether or not you have enough money to go on 9 rides by yourself.
no
Solve the inequality: -3 < p/5
p > -15
Solve the inequality: 8w + 15 < 3(w + 5)
w < 0
Facto by finding the greatest common factor: 28x - 21
Solve and describe the graph for: |3x - 3| ≤ 12
-3 ≤ x ≤ 5
A student solved -4x - 2 ≤ -10 and got x ≤ 2. Identify the error they made and provide the correct answer
The student forgot to flip the inequality symbol when dividing by a negative number. The correct answer is x ≥ 2