Expressions
Distribute the following expression:
2(3x - 6)
6x - 12
Solve for the the value of x:
4x + 3 = 15
4x = 12
x = 3
Graph the following inequality:
12 < X
- 12 in the middle, # to the left, # to the right
- open circle
- shading to the right
Write an inequality for the following phrase
x is at most 12
x <= 12
How do you say "Merry Christmas" in Spanish?
Feliz Navidad
Factor the following expression:
18x - 3 = __________
3(6x - 1)
Solve for the value of x:
(x/2) - 4 = 8
(x/2) - 4 = 8
(x/2) =12
x = 24
What is the inequality that matches the following graph:
- -8 in the middle, # to the left, # to the right
- closed circle
- shading to the left
x <= -8
Write an inequality for the following phrase:
x is at least 6
X >= 6
How many candles are on the Hanukkah Menorah?
9 candles but 8 days of Hanukkah
Distribute the following expression:
-3(7x - 8)
-21x + 24
Solve for the value of x:
2(4x - 3) = 12
2(4x - 3) = 12
8x - 6 = 12
8x = 18
x = 3/2 or 1.5
When should you flip the inequality sign when solving an inequality?
When you are multiplying or diving by a negative number on both sides.
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all.
Write and solve an inequality that matches the story.
4x < 20
x < 5
Which one of Santa's reindeer has the same name as another holiday mascot?
Cupid
Simplify the following expression:
3x + 2 - (5x + 6)
3x + 2 - 5x - 6 -> after distributing negative
-2x - 4
Solve for the value of x:
4 - 3x = 25
4 - 3x = 25
-3x = 21
x = -7
Solve and graph all values of x:
3 - 2x < 4
x > -1/2
- -1/2 in the middle, # to the left, # to the right
- open circle
- shading to the right
At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 3 cups of flour each. Then, she used the remaining 8 cups of flour she had to make a pan of muffins. She started her shift with a minimum of 20-cup bag of flour.
Write and solve an inequality to find out how many batches of cookies she can make
3x + 8 <= 20
3x <= 12
x <= 4
In Home Alone, where are the McCallisters going on vacation when they leave Kevin behind?
Paris
Simplify the following expression:
7x + 1 - 2(3x - 9)
7x + 1 - 6x + 18 -> after distributing negative 2
x + 19
Solve for the value of x:
3x + 4 - 5x = 10
3x + 4 - 5x = 10
-2x + 4 = 10
-2x = 6
X = -3
Why is it important to show a graph for inequalities but not for equations?
Inequalities have an infinite number of solutions where equations have only one answer.
Therefore, a graph shows all the possible solutions through shading on a number line?
Brittany brought her collection of Map Mosaics jigsaw puzzles to a secondhand store to sell. She was paid cash for all 8 puzzles in her collection. Before she left, Brittany used $7.25 of her earnings to purchase a used board game. She had at least $12.75 remaining.
Write and solve an inequality to find out how much she can sell each puzzle for.
8p - 7.25 >= 12.75
8p >= 5.50
p >= 2.5
She can sell each puzzle for at least $2.50 per puzzle
What was Frosty the Snowman's nose made out?
A button