Distribution
2(x+1)=4
x=1
How else could you solve this problem...?
5x+2=12
x=2
1-5x=4-2x
One Solution!
2x=6, x=4
No!
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
x=5 cups
2(x+4)=4(x+1)
x=2
How else could you solve this problem?
3x+8=17
x=3
2x+4= 2(x+2)
Infinite!
4(3x+2)=8x+6x+4, x=2
Yes!
How many boxes of envelopes can you buy with $12 if one box costs $3?
x= 4 boxes
5(x-2)=-5
x=1
100-2x=80
x=2
3x+1=3(x-1)+4
Infinite!
3(2x)+4=3x+16, x=3
No!
Jack has $10 to spend. He wants to buy cookies that cost $2 each. How many cookies can he buy?
x=5 cookies
6(x-8)= 2(x+26)
x=25
2x+3x = 15x-100
x=10
3x+6= 1/2(6x+14)
No solution!
3(x-1)=2x+9, x=8
No!
Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
x=12 dollars
3(x+4+5)=2(x+2x+9)
x=3
2(x+5)= 6x+4x-70
x=10
3(x-4)=3(x+11)
No solution!
-2x-2=2x-2, x=-1
No!
Kate bought a ticket to the fair for 5 dollars. She wants to buy some balloons. They are $2 each. If she has $15, how many can she buy?
x=5 balloons