Unit 1: Scale Figures
Unit 2: Proportional Relationships
Unit 4: Percentages
Unit 5: Pos & Neg (no calculators)
Unit 6: Equations & Inequalities
100
List the 3 qualifications something needs to have to be a scaled figure:
1. Same shape
2. Corresponding angles are =
3. Corresponding sides increase/decrease by a scale factor
100
Is this graph proportional? Explain why or why not.
Yes, straight line that goes through the origin.
100
A store is offering 15% off. You buy clothes for $56. How much are they after the sale?
$47.60
100
Evaluate the expressions:
2 x -6
-2 x 6
-2 x -6
-12
-12
12
100
Solve the equation:
3(3x - 10) = 24
x = 6
200
A triangle has the following sides:
12, 24, 12
What is the scale factor if a similar figure has the following corresponding sides:
3, 6, 3
1/4
200
Is this equation proportional? y= 3x
If so what is the constant of proportionality? (K)
Yes
k=3
200
An item is $9.98. You pay $.20 in sales tax. What is the sales tax perecnt?
2%
200
Evaluate the expressions:
20 ➗ -5
-20 ➗ 5
-20 ➗ -5
-4
-4
4
200
Solve the equation:
10 - 4(x + 5) = 30
x = -1
300
A square has a side length of 20 cm.
List 3 scaled figures with their side length & scale factor.
Include at least one figure that is smaller than the original.
Ex.
Side: 2 SF: 1/10
Side: 4 SF: 1/5
Side: 5 SF: 1/4
Side: 10 SF: 1/2
Side: 40 SF: 2
300
Elizabeth pays someone to paint her room. The painter charges $10 per hour plus a fee of $25.
Turn the situation into an equation.
Is this situation proportional or non-proportional? Explain why or why not.
p= payment
h= hours worked
p=10h + 25
Not proportional, the +25 means it would not go through origin when graphed.
300
A lake was 35 ft deep and then increased to be 36.75 ft. What was the percent increase of the water level?
1.75 ➗ 35 = .05
5% increase
300
Evaluate the expression:
-2 + 3 - 5 + 4 + (-10)
-10
300
Solve the inequality:
6(2x + 7) < 78
x < 3
400
Original Right Triangle sides: 16, 20, 24 meters
Original Right Triangle Area: 160 meters2
Scaled Right Triangle sides: 4, 5, 6 meters
Find the scale factor, perimeter, and area of the scaled triangle.
SF: 1/4
Perimeter: 15 m
Area: 10 m2
400
Sam can buy 4 scarfs for $68.00. How much would it cost if they only wanted to buy 3 scarfs?
4 scarfs for $68...
1 scarf for $17 so,
3 scarfs would be $51.
400
Felix makes 25% commission at Version. If he sells one customer 1 IPhone 13 for $700, 2 phone cases for $50 each, and 1 phone charger for $30, how much money will he make on the sale?
$207.50
400
Evaluate the expression:
8 + (-3) - 5 + 9 - (-3) + 2 • (-3)
6
400
Solve the inequality:
-4(8 + x) - 6 > -40
x < 1/2
500
The area of a rectangle is is 30 in2
If we compose a scaled copy with a scale factor of 6, what will the area of the new figure?
Area increases by SF2
1080 in2
500
Write an equation for the table given the table is proportional.
x= # of tickets
y= cost
y= 3/2x
500
Quinn works for a boat dealership in Lake Geneva. Quinn makes a 3% commission off the final cost of the boats she sells.
The Boat shop marks up all of their boats by 30%.
This month, Quinn sold three boats that were originally purchased by the dealership for $15,000, $43,000, and $57,000, how much commission did Quinn make?
The boats sold for $149,500 total with the mark up.
3% of $149,500 is $4,485.
Quinn made $4,485 this month.
500
Solve the equation:
6 - (5x - 10) = 46
-6
500
Solve the inequality & graph the solution:
-3(-4 - 2x) + 20 > 34
x > 2
Graph: open circle, above 2, arrow to the right