How many Solutions?
3x = 9 - 3x
What is: 1 solution
x=1.5
2x + 5 = 23
What is x = 9?
5t - 4= t - 8
What is t=-1?
Solve for x: 3x + 9y = 27
What is x=9-3y
A printing company charges a $40 setup fee and $5 per poster. A student group has $115 for posters. Xavier wrote 40 + 5x = 115 to describe the situation. Solve for x and explain the meaning of the solution.
What is: x=15, 15 represents posters
6x = 2x
What is: 1 solution
x=0
7 + 3h = -1 -5h
What is h= -1?
Solve for x: 3x+2y=50
What is x = (50-2y)/3
Tickets to a movie theater cost $10 for each adult and $7 for each child. A family has $100 for tickets.
Write an equation for this relationship.
• Use a for the number of adult tickets.
• Use c for the number of child tickets.
What is: 10a+7c=100
7x + 8 = 7(x + 1)
What is: No Solution
6d + 1 = 15 - d
What is d= 2?
What is D/r = t
The equation 7a+2c= 100 represents $7 per adult movie ticket and $2 per child movie ticket. If 6 adults go to the movies, how many children can go for $100?
What is: 29 children
-2x = 6 - 2(x + 3)
What is: Infinite Solutions
5(t+2) = 25 + 2t
What is t=5?
What is x= (y-b)/m
Neel won 20 tickets at the fair to trade in for prizes. He can get a sticker for 2 tickets and a pencil for 3 tickets. Let s represent the number of stickers Neel gets and p represent the number of pencils.
1. Write an equation to represent this situation.
2. Make a table
3. Graph the points
What is: 2s+3p=20
0 Stickers=6.6 pencils
1 Sticker= 6 pencils
2 stickers = 5.33 pencils
3 stickers= 4.66 pencils
Select the expression that is equivalent to
6 - 2(x + 1).
A. 4(x + 1)
B. 7 - 2x
C. 4 - 2x
D. 4x + 4
What is: C. 4-2x
5(k-4) = 4- 3k
What is k = 3?
Solve for x: 4x + 2y - 3z = 12
What is: x = (12-2y-3z)/4
A teacher spent $21 on packs of stickers and packs of pencils for her class.
• Stickers,s, cost $1.50 per pack.
• Pencils,p, cost $3.50 per pack.
Write an equation, solve for p, then make a table, and graph.
What is 1.50s +3.50p = 21 and p=(21-1.50s)/3.50
0 stickers = 6 pencils
1 sticker= 5.58 pencils
2 stickers= 5.14 pencils
3 stickers= 4.71 pencils