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Solving Equations
Writing Equations
Solving Inequalities
Writing Inequalities
Vocabulary
100
2x + 5 = 17
x = 6
100
Bralie is going to the carnival. She has $22 to spend. It cost $4 to get into the carnival, and each ride cost $3. Write an equation to help Bralie figure out how many rides she will be able to ride.
4 + 3x = 22
100
4d - 3 > 9
d > 3
100
Clayton and Genny are climbing a mountain. They are currently at 4,352 ft. They want to reach 7,548 within the next 3 days because there is a camp already set up there. Write an inequality to help them figure out how many feet they must climb each day to reach their goal.
4352 + 3x _> 7548
100
The set of all whole numbers and their opposites
Integers
200
-3x -13 = 20
x = -11
200
Cerena is in a choir that has 12 members. They are trying to raise at least $1500 for competition. They've already raised $300. Write an equation to find our how much each member must raise to reach there goal.
12x + 300 = 1500
200
2x + 7 < 11
x < 2
200
Jay has $7. Bagels cost 0.75 each and a container of cream cheese cost 1.29. Write an inequality to see how many bagels Jay can buy.
0.75b +1.29 _< 7
200
What is a constant
The number that doesn't change (no variable attached)
300
15 + 3x = 45
x = 10
300
A tax cab cost $1.50 for the first mile and $0.75 for every mile after that. Write an equation to figure out how far you could travel in a taxi cab for $10.
1.50 + 0.75x = 10
300
5h - 4 >11
h > 3
300
GMS is having a canned food drive. They want to collect more than 2000 cans. So far they have collected 688. Write an inequality to see how many cans they need to collect on each of the 7 final days of the drive.
688 + 7x > 2000
300
What is a variable?
A symbol (usually a letter) used to represent a quantity that can change.
400
4 + (x/2) = 34
x = 60
400
Kelley operates a skating rink. He charges $3 for skate rental and $6 per hour of skating. Write an equation to see how long you could skate for $18.
3 + 6x = 18
400
-2x - 16 > 30
x < -23
400
Kaidon joins a CD club. He pays $7 a month plus $10 per CD he wants. Write an inequality to find out how many CDs he can purchase in 1 month before he reaches his spending limit of $100.
7 + 10x _< 100
400
What is a coefficient?
The number that is multiplied by the variable.
500
-9 + (x/-4) = 14
x = -92
500
2 Friends earned $200 washing cars. They paid their parent $42 dollars for the supplies that they bought and they are dividing the rest of the money up evenly. Write an equation to figure out how much money each of the friends would get.
2x + 42 = 200
500
10 - 0.75p > 7
p < 4
500
Brianna is buying 4 new shirts. They all cost the same price. She also buys a a skirt that cost $12. She doesn't want to spend anymore than $32. Write an inequality.
12 + 4x _< 32