Equations
2x + 7 = -9
x = -8
3x - 1 ≥ 14
x ≥ 5
x > 9
open circle at 9, pointing right
Laurie is making muffins. The recipe calls for 2 cups of sugar. If she has 26 cups of sugar, write and solve an inequality to represent the greatest number of batches Laurie can make?
2x is less than or equal to 26
x is less than or equal to 13
9 = -3x + 15
x = 2
x ≤ -7
closed circle at -7, pointing left
Tom has $33.00 on his lunch account. He wants to make sure he has at least $25.50 left after lunch. Write and solve an inequality to represent the most he can spend on lunch.
33 - x greater than or equal to 25.50
x is greater than or equal to 7.50
4(x - 3) = -20
x = -2
Franklin is drawing a rectangle. The length will be 5 inches, and the area will be at least 20 square inches.
Let x represent the width of the rectangle.
5x ≥ 20
x ≥ 4
-33 = -3(2x + 1)
x = 5
Kira and her friends are planning to take a trip next summer to drive to Big Bend National Park. They plan to split the cost of gas equally among the 4 of them. Kira expects that each person will pay at most $35.
Let x represent how much Kira expects the gas to cost in all. Write an inequality to represent this scenario.
x /4 less than or equal to 35
x is less than or equal to 140
-2x + 4 + 5x = -8
x = -4
1/2x ≥ 4
x ≥ 8, closed circle pointing right
Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
4.5x ≤ 18
x ≤ 4