Simplifying Expressions
Writing & Solving Equations
Proportional Relationships
Percents
Area/Circumference of a Circle
100
What are like terms?
Terms that either:
1. Are both constants or,
2. Have the same variable raised to the same power
100
How do we solve equations?
Inverse operations
100
Finish the statements:
A graph is proportional if ________________.
A table is proportional if ________________.
A graph is proportional if it is a straight line through the origin.
A table is proportional if all the unit rates are equal.
100
What are two methods to solve percent problems?
1. N% * O = N
2. O +/- (P% * O) = N
100
What are the formulas to find area of a circle and circumferences?
A=πr2
C=πd
C=2πr
200
Which expressions are equivalent to the expression below?
5x+4y−11+(−8x)−9y+6
Select each correct answer.
A. −3x−5y−5
B. −3x+5y−5
C. −3x+−5y+−5
D. −3x−5y+5
E. (5x+−8x)+(4y+−9y)+(−11+6)
F. 3x−5y−5
A. −3x−5y−5
C. −3x+−5y+−5
E. (5x+−8x)+(4y+−9y)+(−11+6)
200
Solve:
2x-4=10
x=7
200
Which ordered pairs are in a proportional relationship with (0.4, 0.5)? Select each correct answer.
A. (1.2, 1.5)
B. (3.4, 4.5)
C. (2.3, 6.4)
D. (0.8, 1.0)
E. (0.2, 0.3)
A. (1.2, 1.5)
D. (0.8, 1.0)
200
The cost of a concert ticket is expected to increase by 135% by next year. A ticket currently costs $4.20. What is the projected cost of the concert ticket next year?
A. $5.67
B. $9.87
C. $1.47
D. $10.62
B. $9.87
200
How are radius and diameter related to one another?
Diameter is twice the radius (d=2r)
Radius is half the diameter (r=1/2d)
300
Evaluate WITHOUT a calculator:
(1/4)/(-2/3)+(-1/2)
Double Jeopardy: Write the steps you used to solve.
-7/8
300
-3/4x+2/3=9/3
-28/9
300
The following table shows the relationship between the number of notebooks purchased (represented by n) and the total cost (represented by c).
Which equation represents the relationship between nnn and ccc?
A. c=1.5n
B. n=1.5c
C. c=2/3n
D. n=2/3c
A. c=1.50n
300
Mr. Chen and Ms. Rivera are going to spend $25 at a teacher supply store where all teachers receive a 15% discount. They want to purchase a classroom game that sells for $26.80 plus 8% sales tax.
Do they have enough money to purchase the game?
Yes, the game will cost $24.60. They will have $0.40 leftover.
300
A circle has a radius of 4 inches. What is the circumference in inches? Round your answer to the nearest hundredth.
25.12 inches
400
Evaluate WITHOUT a calculator:
8+(-0.5)(0.2)*2.3
7.77
400
Jalen’s kitten weighs 4 1/2 pounds. She will gain an average of 2/3 pound each week until she reaches her adult weight. Create an equation that can be used to predict her weight in pounds, p, after w weeks.
p=9/2w+2/3
p=4 1/2w+2/3
400
A baby turtle can eat an amount of food that is equivalent to 3/8 of its body weight in 1/2 hour.
At this rate, what fraction of its body weight in food can the turtle eat in 1 hour?
The turtle can eat 6/8 of its body weight in 1 hour.
400
Danielle is paying a $240 fee in three payments. The first payment is 15% of the original fee. The second payment is 40% of the original fee. Which expressions represent the amount of money for the third payment? Select all that apply.
A. 240−0.55(240)
B. 240−0.45(240)
C. 0.45(240)
D. 0.55(240)
E. 240−0.60(240)
F. 240−0.35(240)
G. 0.60(240)
H. 0.35(240)
A. 240-0.55(240)
C. 0.45(240)
400
A circular garden has a diameter of 18 feet.
What is the area, in square feet, of the garden?
A. 9π
B. 18π
C. 81π
D. 324π
81π square feet
500
Lena is hiking in the Zion National Park. She starts at 82.7 feet above sea level and descends into a canyon. The difference between her starting and ending elevation is 146.5 feet. What is Lena’s final elevation, in feet?
A. −229.2
B. −63.8
C. 63.8
D. 229.2
B. -63.8
500
A group of friends bought tickets to a movie and spent a total of $52.50. The group purchased 5 tickets. There was a $2.00 service fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the movie.
Equation:
- 10+5x=52.50
-5(2)+5x=52.50
-5(2+x)=52.50
Answer: The cost of one ticket to the movie is $8.50.
500
The scale on a map shows that 4 centimeters = 5 kilometers.
1. What number of centimeters on the map represents an actual distance of 8 kilometers?
2. What number of kilometers on the map represents an actual distance of 7 centimeters?
1. 32/5
2. 35/4
500
Mr. Chen and Ms. Rivera are going to spend $25 at a teacher supply store where all teachers receive a 15% discount. They want to purchase a classroom game that sells for $26.80 plus 8% sales tax.
To see if $25 is enough to purchase the game, Mr. Chen takes 15% of $26.80 and subtracts that amount from the normal price. He then takes 8% of the discounted price and adds it to find the final cost.
To see if $25 is enough to purchase the game, Ms. Rivera finds 85% of the original price and then calculates 108% of the reduced price.
Part A:
Is Mr. Chen’s approach correct? Is Ms. Rivera’s approach correct?
Both Mr. Chen and Ms. Rivera's approaches are correct. Mr. Chen multiplies 0.20 by 26.80 to find the discount amount then subtracts that from the original to find the discount price. He then multiples 0.08 by the discount price to find the tax amount and adds that to the discount price to find the total price. Ms. Rivera is correct because a 15% discount is equivalent to 85% of the original cost. An 8% tax is equivalent to 108% of the original.
500
A circular garden has a diameter of 18 feet. A walkway 2 feet wide is built around the outside of the garden.
What is the total area of the garden and walkway?
A. 121π
B. 169π
C. 225π
D. 289π
121π square feet