Writing
Equations
Equations
A gym charges two different membership plans.
Plan A: $25 signup fee plus $15 per month.
Plan B: $10 signup fee plus $20 per month.
After how many months will the total cost of both plans be the same?
25+15m=10+20m
A store offers a discount on jackets.
Jacket A: $20 plus $3 per accessory.
Jacket B: $10 plus $5 per accessory.
Write an inequality to show when Jacket A will cost less than Jacket B if you buy x accessories.
20+3x<10+5x
20+5w = 50+2w
w = 10
2x+1 = 3x−0.5
x=1.5 or 1 1/2
Order the following from least to greatest
½ , √2 , 1.75 , √3 , 2
Answer
√2 < 3/2 < √3 < 1.75 < 2
Maria is saving money to buy a laptop.
She already has $40 saved and adds $25 each week.
Her brother has $100 saved and adds $15 each week.
After how many weeks will Maria and her brother have the same amount of money saved?
40+25w=100+15w
A submarine is descending into the ocean.
Submarine A starts at -20 meters and descends 5 meters per minute.
Submarine B starts at -10 meters and descends 3 meters per minute.
Write an inequality to find after how many minutes x Submarine A will be at a depth less than or equal to Submarine B.
−20−5x ≤ −10−3x
2x+3 = x−5
x=−8
8m+1.5 = 10m−0.75
m=1.125
Which of these is the least?
2√9 √15 40% 1/4
1/4
Two friends are renting bikes.
Store A charges a $5.50 rental fee plus $2.50 per hour.
Store B charges a $3 rental fee plus $3.10 per hour.
After how many hours will the cost of renting from both stores be the same?
5.50+2.50h=3+3.10h
A school fundraiser allows students to buy snacks.
-Snack pack A: $2 plus $0.75 per extra item.
-Snack pack B: $3 plus $0.50 per extra item.
Write an inequality to show how many extra items x a student can buy so that Snack pack A costs less than or equal to Snack pack B.
2+0.75x ≤ 3+0.50x
50+20x = 30+25x+10
x=2
3/2h + 2 = 5/4h + 3
h=4
Two adjacent angles form a straight line. One angle measures 3x+10° and the other measures 2x−5°. Find the measure of each angle.
Equation: (3x+10)+(2x−5)=180
Angle 1 = 115°
Angle 2 = 65°
A taxi company and a rideshare app both charge different rates.
The taxi charges a $4.50 pickup fee, plus $1.80 per mile, and an extra $2.00 service fee.
The rideshare charges a $6.20 pickup fee, plus $1.50 per mile, and an extra $1.50 service fee.
After how many miles will both rides cost the same?
4.50+1.80m+2.00=6.20+1.50m+1.50
Two phone plans charge differently:
Plan A: $12.50 monthly fee plus $0.75 per gigabyte of data.
Plan B: $15.20 monthly fee plus $0.60 per gigabyte of data.
Write an inequality to find the number of gigabytes x for which Plan A costs less than or equal to Plan B.
12.50+0.75x ≤ 15.20+0.60x
3(x)+4 = 2(x+1)+5
x=3
5−1.5x = 3−4x
x= −0.8
The length of a rectangle is 3 meters more than twice its width. The perimeter of the rectangle is 36 meters. Find the length and the width.
Equation: 2(2w+3)+2w=36
Width = 5 meters
Length = 13 meters
Sofia and Daniel are training for a charity walk.
Sofia already walked 3 miles and continues at a rate of 2/3 miles per hour.
Daniel already walked 1 mile and continues at a rate of 5/6 miles per hour.
After how many hours will they have walked the same distance?
3 + 2/3h = 1 + 5/6h
Two friends are filling water bottles.
Alex fills his bottle with 3/4 liters per minute, starting with 1 liter already in the bottle.
Ben fills his bottle with 2/3 liters per minute, starting with 1.5 liters already in the bottle.
Write an inequality to find the number of minutes x for which Alex will have less than or equal to the amount of water that Ben has.
1 + 3/4x ≤ 1.5 + 2/3x
4x+3x+7 = 12x+15−27
x= 3.8 or 3 4/5
1/2 + 3/4h = 2/3 + 2/3h
h= 2
In a triangle, the first angle is twice the second angle.
The third angle is 20° more than the second angle.
Find the measure of each angle.
Second angle = 40°
First angle = 2(40) = 80°
Third angle = 40 + 20 = 60°
The three angles are: 40°, 80°, and 60°