Finding x
How Many Solutions
Inequalities
Angle Relationships
Word Problems
100
4x-5=3x-14
-9
100
x - 2 = 7
1 solution
100
2x-6>3
Is 4 part of the solution set?
No, x>4.5
100
What relationship of angles x and y and what is the equation?
Vertical and x=y
100
Ethan uses 1/2 cups of chocolate chips to make a batch of cookies. How many cups of chocolate chips does he need to make 5 batches?
2.5 cups
200
6x-5-x=12x-19
2
200
2x - 3 = -3 + 2x
Infinite solutions
200
4s-12-s<21
What is the solution set?
s<11
200
What is the relationship of angles x and y and what is the equation?
Complementary. x+y=90
200
Jack uses 2.5 cups of milk to make a batch of custard. How many batches of custard can he make if he has 8 cups of milk (if not a whole number round to nearest tenth)?
3.2 batches
300
2(3x+4)+92.5+150=360
18.25
300
3x - 16 = 3(x - 11)
No solution
300
2(1.5x-4)>25.3
What is the solution set?
x>11.1
300
What is the relationship of angles x and y and what is the equation?
Supplementary. x+y=180
300
Sara buys two bamboo plants.
- Plant 1 is 3 feet tall and grows 30 inches every 25 days.
- Plant 2 is 2 feet tall and grows 36 inches every 24 days.
Sara has the plants for d days.
Enter an equation that can be used to find the number of days the plants must grow until they are the same height.
30/25 d +36=36/24 d+24
400
12.6x-13-1.3x=0.3x-1
1.090909...
12/11
or 1 1/11
or 1 9/99
400
5(3x - 2) + 7 = 3 (5x - 1)
Infinite solutions
400
What is the solution set?
1/3x-2<1/2x-6
x>24
400
Solve for x.
x = -2
400
Maya spends $16.22. She purchases 1 container of yogurt, 2 watermelons, and some apples.
- Yogurt costs $2.49 per container.
- Watermelons cost 3.99 each.
- Apples cost $1.15 per pound.
How many pounds of apples did Maya buy?
5 pounds
500
1/2 x - 6 = 1/3x + 7
78
500
1/3(-9x+18)=-1/2(6x-10)
No solution
500
What is the solution set?
-3x+6<-2x+12
x>-6
500
Solve for x.
x = -176
500
James purchases 1 gallon of orange juice, 2 pounds of bananas, and some strawberries. Hpends $11.82 on this purchase.
- Orange juice costs $5.29 per gallon.
- Bananas costs $1.39 per pound.
- Strawberries cost 2.50 per pound.
How many pounds of strawberries did James buy?
1.5 pounds