Solving Inequalities
Solve –15k > -120.
What is k < 8
Solve 3x + 1 > 4x +7
What is x < -6
Solve 5x+6=16
What is x=2
Aaron bought a book for $6.50 and some new notebooks for $2 each. He spent a total of $22.50 Write an equation to determine the number of notebooks Aaron bought.
What is 2x +6.50 = 22.50
The name for the number that never changes in an equation
What is a constant
Solve 12 + 18 + x < 39
x < 9
Solve 4(x+6) < -12 + x
What is x <-12
Solve 2x+8x+14=-24
What is x=-1
You and your friend rent a kayak. It costs $40 for the first 4 hours and $7.50 for each extra hour. Your total cost is $62.50. Create AND SOLVE an equation to represent this.
What is 7.50x + 40 = 62.50
x = 3 hours
the name for the number attached to the variable in the equation
What is an coefficient
Solve and graph. x-3>-2.
What is x>1
Solve -2(y - 2) < 2(y - 4).
What is y > 3
Solve 4(x-7) = 4x - 28
What are infinite solutions
April started a workout program at a local health club. She began with a 45 minute workout and has increased her time by 5 minutes per week. How many weeks should she increase her time if she wants her workout to be more than one hour? Create an inequality to represent this.
What is 45 + 5x > 60
The name of the letter in the equation that stands for the unknown in the equation
What is a variable
Solve –4(10 – n) – 6n > 8(n + 3) – 7n + 2.
What is n < -22
Solve 9(3x+7) = -2x -24
What is x= -3
Container A has a leak and Container B is being filled. Container A has 800 mL of water and is leaking 4.5 mL per minute. Container B has 150 mL of water and is being filled at a rate of 10 mL per minute. Create an equation to represent this.
What is -4.5x + 800 = 10x +150
When graphing an inequality, we use this when our inequality is greater than or less than
What is an open circle
Solve the inequality 5y + 8 > 4y - 3.
What is y<-11?
Solve x<(3x-12)/4
What is x < -12
Solve -3x + 6(2x + 5) - 23 - 9 = 9x + 4
What is no solution
The perimeter of a square must be less than 160 feet. What is the maximum length of one side of the square in feet? Create and solve an inequality to represent this.
What is 4x < 160
x < 40
The type of operations we use when solving an equation or inequality
What are inverse operations