One/Two Step Equations
x + 17 = 42
x = 25
3(x+4) = 24
x = 4
4x + 7 = 19
x = 3 ; one solution
A movie ticket costs $8. Ava has $40. How many tickets can she buy?
Let x = numbers of tickets
8x = 40
She can buy 5 tickets
5x - 8 = 27
4(x-3) +2x = 18
x = 5
2(3x-5)=6x+1
-10 does not equal 1 ; no solution
Henry is baking cakes. Each cake uses 2 cups of flour for the batter and 1 cup for the frosting. Henry has 81 cups of flour.
Let x = number of cakes
2x+x=81
He can bake 27 cakes
x = 32
4(2x-3)=5x+9
x = 7
8x + 5 = 2(4x+3) -1
5 = 5 ; infinite solutions
Ava has $400 in her savings account. She adds $25 each month. Noah has $650 in his savings account. He adds $40 each month but spends $15 each month on his water bill. Will Ava and Noah ever have the same amount of money? If so, after how many months?
Let x = number of months
400+25x = 650+40x−15x=650+25x
400 = 650
They will never have the same amount
(x-3) / 5 = 9
x = 48
3(2x-5) + 4x - 7 = 5x + 8
x = 6
-(2x+6) = 0.5 (-4x + 30) - 9
6 = 6 ; infinite solutions
Maya earns $520 in commission plus $12 per hour. Jordan earns $680 in commission plus $12 per hour. Will Maya and Jordan ever earn the same amount of money? Explain your answer.
Let x = number of hours worked
520+12x=680+12x
520 = 680
They will never earn the same amount