Linear Relationships, Equations/Inequalities
7.7A, 7.11A
7.7A, 7.11A
George started a coin collection
His dad gave him 75 coins
Each month he will add 20 coins to the collection.
Which equation can be used to find y, the total number of coins in George's collection after x months?
A) y = 75x + 20
B) y = 20x + 75
C) y = 75 - 20
D) y= 20x - 75
B
William purchases a guitar for $78.44.
He has a coupon for 20% off the price.
How much does William pay for the guitar after using the coupon?
William pays $62.75 for the guitar
Determine the simple interest if the principal is $225, the interest rate is 6%, and the time is 2 years.
I=P x r x t
Interest = $27
A shirt costs $40.
When it was on sale for 25% off, what was the discount?
The discount was $10 off
A diver had descended 64 feet underwater after 4 minutes.
After 6 minutes, the diver descended 96 feet under water
What is the constant of proportionality that relates the number of feet descended, y, to the number of minutes, x?
k= y/x
16
A pilot takes a taxi from the airport to a hotel.
The taxi driver charges a $2.50 initial charge plus $2.65 per mile.
Which equation can be used to find y, the total cost of the trip, if x represents the number of miles of the trip?
A) y=2.50x+2.65
B) y=2.65(x+2.50)
C) y=2.65x-2.50
D) y=2.65x+2.50
D
Madison is purchasing ink cartridges for his computers.
Each ink cartridge costs $35.99 and comes with a $10 rebate. (Rebate is subtracted from the cost)
How much will Madison pay for one ink cartridge after the rebate?
Madison will pay $25.99 after the rebate
Determine the simple interest if the principal is $1500, the interest rate is 4%, and the time is 3 years.
I=P x r x t
Interest = $180
Daniel earns a 15% commission on each piece of artwork that he sells.
If a customer purchases a painting for $68, how much commission does Daniel receive?
Daniel earns $10.20 in commission.
A recipe says to use 3 cups of flour to make 48 cookies.
What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x?
k=y/x
16
What is the solution to
3x+2x+20=50?
1. Combine like terms
2. Solve for x
x=6
The price of a computer is $899.
The sales tax rate is 7%
What is the sales tax on this computer in dollars and cents?
$62.93
Determine the TOTAL VALUE and SIMPLE INTEREST of the investment.
Principal: $200
Simple Interest Rate: 3%
Time: 5 years
I= P x r x t
1. Find the amount of simple interest
2. Add the amount to the principal balance
The amount of interest is $30
The total value is $230
Amanda increased the amount of protein she eats every day from 48 g to 54 g.
By what percentage did Amanda increase the amount of protein she eats?
12.5% increase
Triangle DEF is similar to Triangle GHJ
Write ratios to identify the proportional sides of the triangle
----- = ----- = -----
DE/GH = EF/HJ = FD/JG
What is the solution set for
-4x-10≤2?
x≥-3
A doctor has an annual income of $152,125
The income tax the doctor has to pay is 6%
What is the amount of income tax, in dollars and cents, that the doctor has to pay?
$9,127.50
Determine the TOTAL VALUE and SIMPLE INTEREST of the investment.
Principal: $1800
Simple Interest Rate: 2.5%
Time: 20 years
I= P x r x t
1. Find the amount of simple interest
2. Add the amount to the principal balance
The amount of interest is $900
The total value is $2700
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015.
What is the percent decrease in price?
30% increase
Triangle DEF is similar to Triangle GHJ
Identify the congruent corresponding angles
Angle _____ is congruent to Angle _____
Angle _____ is congruent to Angle _____
Angle _____ is congruent to Angle _____
Angle D is congruent to Angle G
Angle E is congruent to Angle H
Angle F is congruent to Angle J
What is the solution to this inequality?
30.16=17.56+5x
x=2.52
Jacob's favorite store is having a sale.
All clothing is 40% off AND Jacob has a coupon for another $10 off his purchase.
He buys a sweater for $65.99.
How much does Jacob pay for the sweater after the discounts?
1. Find cost of sweater with 40% off coupon
2. Subtract the $10 from the 40% cost
Jacob pays $29.59 for the sweater after the discounts.
Determine the SIMPLE INTEREST RATE of the investment.
Principal: $500
Time: 20 years
Simple Interest: $250
I= P x r x t
1. Substitute given values into formula
2. Solve for interest rate
3. Convert decimal back to a percent
The interest rate is 2.5%
Each morning, Ana makes 20 cinnamon bagels for her customers.
Because of a recent increase in the popularity of cinnamon bagels, she has increased the number she bakes each morning by 80%.
How many cinnamon bagels does Ana now bake each day?
36 cinnamon bagels
A car has a height of 4.8 feet and a length of 16.2 feet
On a scale model of the car the height is 2 inches.
What is the length of the car on the scale model in inches?
(Make a proportion: Label, Know, Need)
The length of the car is 6.75 inches.