Multi-Step Equations
3x-2+6x=25
x=3
4x-6=9x+4
x=-2
16>7x-19
x<5
Tyler is 4 years more than twice Josie's age. If Tyler is 10 years old, how old is Josie?
Josie is 3 years old.
5(y+3)=5y+3
No Solution
2(3x-4)+7=11
x=2
10x+4=28+6x
x=6
8x+6-9x>-18+x
x<12
Willie rented a bike from Hilton Head Bikes. It cost $18 plus $5 per hour. If Willie paid $48, then he rented the bike for how many hours?
He rented the bike for 6 hours.
Write the inequality "A number is above 12."
x>12
-10=-(x+6)
x=4
10+6x=15+9x-3x
No Solution
2x-15>-6x+1
x>2
For one month, Allie's cell phone company charges $35 plus $0.20 per text message. If Allie's total monthly cell phone charge was $75, how many text messages did she have?
She had 200 text messages.
Would the inequality "X is less than -3" create an open or closed circle on a graph? Which direction will the arrow point?
Open circle, To the left
-3(5x-5)+5x+1=-24
x=4
3(x-1)-4=2-5(x+5)
x=-2
Would the inequality "X is greater than 5" create an open or closed circle on a graph? Which direction will the line point on the graph?
Open circle, To the right
Eliza has a $25 Starbucks gift card. Each time she uses the card to buy a coffee, $3.50 is deducted from her card. If the balance on her card today is $11, how many coffees has she purchased with the card?
She has purchased 4 coffees.
Jude has a $20 gift card to Dunkin Donuts. Each time he uses the card to buy a donut, $2 is deducted from his card. If the balance on his card is $4, how many donuts has he purchased with the card?
8 donuts
-2(-x+1)+2x-4=34
x=10
3(x+2)=3x+6
Infinite Solutions
Would the inequality "X is less than or equal to 4" create an open or closed circle on a graph? Which direction would it point?
Closed circle, To the left
Ryan bought a new X-Box Game that cost $38 and a pack of batteries that cost x dollars. He paid the clerk $50 and received $7 in change. Assuming there was no tax, how much did the batteries cost?
The batteries costs $5.
9x-5(-8x+3)-6=-21
x=0