key words
What are the 3 slope words we look for?
Per
Each
Every
Cora plans to buy some calligraphy pens priced at $5 each. Write an equation that shows how the total cost, y, depends on the number of calligraphy pens Cora buys, x.
y=5x
You need to buy pencils and an eraser. The eraser costs $1 and each pencil costs $0.25. You can spend less than $5. Write an inequality that represents the maximum number of pencils (p) you can buy.
1 + 0.25p < 5
Solve the equation.
9x = 6x+6
x=2
Solve for a.
9 + 5a = 2a + 9
a=0
What does FEE usually refer to in a word problem?
B
Y-intercept
constant
10 less than a number times 2 equals 6
2x-10=6
A small airplane can hold less than 44 passengers. 15 passengers board the plane. Write and solve an inequality that represents the additional number of passengers (p) that can board the plane.
15 + p < 44
Solve for y.
–8y+1=–9y
y=-1
You rent a moving truck for a daily fee of $20 and are charged $0.75 per mile. You budgeted a maximum total cost of $65. Write an inequality that represents the number of miles (m) you can drive the truck.
0.75𝑚 + 20 ≤ 65
What operation does the word DRAINING in a word problem tell us?
Subtraction
Minus
Negative
The sum of 4, 8, and a number is twenty-six
4 + 8 + x=26
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie cannot spend more than $10 on a ride.
0.65m + 1.75 < 10
Solve for r.
–5r + 10=–3r + 6
r=2
What does ascending mean?
least to greatest
What do we do if it says "split in half"?
Divide by 2
A sunflower is 1.4 feet tall and growing at a rate of 0.45 per day. A rose is 0.2 feet tall and growing at a rate of 0.8 feet per day. Write an equation to find x, the number of days that need to pass in order for the two flowers to be the same height.
1.4 + 0.45x = 0.2 + 0.8x
or
0.45x + 1.4 = 0.8x + 0.2
Renting a video game from Store A costs $2.50 per game plus a monthly fee of $6.00. Renting a video game from Store B costs $4.50 per game with no monthly fee. Write an inequality to represent a situation where Store A monthly costs are less than Store B monthly costs.
2.50v + 6.00 < 4.50v
Solve for x.
6x = 4x + 20
x=10
Solve for x.
2x – 5 = 8x + 7
x=-2
makes the slope negative
Two water tanks hold 14.5 gallons and 25.2 gallons of water. The larger tank is leaking at a rate of 0.98 gallons per hour. The smaller tank is leaking at a rate of 0.21 gallons per hour. Write an equation to find x, the number of hours that need to pass for the two tanks to contain the same amount of water.
-0.98x + 25.2 = -0.21x + 14.5
X, the number of people that can still come inside the restaurant, plus y, the number of people that are already inside the restaurant, the number has to be less than 75.
x + y < 75
Solve for m.
6m + 14 = −7 − m
m=-3
A store charges $1.25 per kitchen tile and lets you use their tools for free. A second store charges $0.75 per tile but charges you $50 to use their tools. What is x, the number of tiles that need to be purchased in order for the two companies to charge the same amount?
1.25x = 0.75x + 50