Solve 5 + x = 10
x = 5
6x < 12
x < 2
How would you graph x < 2?
open circle on x, to the left
Shane's mom made x cupcakes. Shane ate 4 cupcakes, and there were 16 left over. Write an equation to show how many cupcakes Shane's mom made.
x - 4 = 16; 16 + 4 = x
subtraction-addition
addition-subtraction
division-multiplication
multiplication-division
Solve 4x = 40
x = 10
10 > x + 15
5 > x
How would you graph x + 5 > 15?
Sally has a bag of M&Ms. The bag has 100 M&Ms and she shares them evenly between her 5 friends. Write an equation where x is how many M&Ms each friend gets.
5x=100; 100/5=x
What is the difference between an equation and an expression?
Equations have an equal sign
Expressions do not
Solve 935x = 4660
x = 5
x - 5.5 > 3.5
x > 9
How would you graph 2x = 14?
A closed circle on 7
Andy has 47 books. This is 12 more books than his brother. His brother has x books. Write and solve an equation to figure out how many books Andy's brother has.
x + 12 = 47; x = 35
You can only go the way the inequality symbol is pointing when the variable is on the ____ side.
left
Solve -15 + x = 20
x = 35
x/50 < 1000
x < 50000
Harry spent over $300 fixing his car. How would you graph this inequality?
x > 300; open circle on 300, arrow to the right
Tommy is a chef at a fancy hotel. He make more than 500 pancakes a day when he works the morning shift. Create an inequality to represent the amount of pancakes, p, Tommy makes when he works the morning shift.
p > 500
Jacob is 2 inches taller than his brother. What operation would be used in an equation where x is his brother's height, and Jacob is 72 inches tall?
Addition, x + 2 = 72
x/15.9 = 2.06 (do not round)
x = 32.754
x + 158 < 574
x < 416
Joe needs at least $150 to see his favorite band in concert. Write an inequality and graph it for the situation.
x > or = 150; closed circle on 150, arrow to the right
Sarah saved up all of her paychecks so that she could go on a shopping spree with her sister. On her shopping spree she spent $237.55. After she checked her bank account she had $126.22 left. Write an equation to show how much she spent and how much she had saved up. Use s to represent how much she had saved before.
s - 237.55 = 126.22
When do you flip the inequality sign when you are solving an inequality?
When multiplying or dividing by a negative number