Geometry
Percents
Proportional Relationships
Equations and Inequalites
NO CALCULATOR
100
What type of triangle has angles 45°, 45°, 90°?
A triangle has angles measuring 45°, 45°, and 90°, making it a right triangle.
100
A 4-foot piece of copper wire costs $25.92. What is the price per inch?
First, convert from feet to inches.Multiply:4 × 12 = 48
4 feet is the same as 48 inches. To find the price per inch, divide the total price by 48.
$25.92 ÷ 48 = $0.54
The wire costs $0.54 per inch.
100
A school janitor has mopped 1/3of a classroom in 5 minutes. At what rate is he mopping?
The janitor is mopping at a rate of
1/15 of a classroom per minute.
100
9j-6j+2j-4j=10
What is the value of j?
j=10
100
Evaluate
−12 + 7 − (−5)
0
200
What is the volume of a prism (4 × 3 × 5)?
A rectangular prism has dimensions 4, 3, and 5. Its volume is 60 cubic units.
200
Which is a better buy?
6 yards roll of plastic wrap for $1.80
or
16 ft roll of plastic wrap for $2.72
The 6-yard roll of plastic wrap for $1.80 is the better buy.
First, convert from yards to feet.
Multiply:
6 × 3 = 18
6 yards is the same as 18 feet.
Now, find the prices per foot. Divide the total cost by the number of feet.
$1.80 ÷ 18 = $0.10
$2.72 ÷ 16 = $0.17
200
During his lunch break, Leon sent 6 texts in
3/4 of a minute. What was his rate of texting?
Leon was texting at a rate of 8 texts per minute.
200
Mary plans to buy 5 tickets to go to an orchestra concert with her friends. She expects to spend at least $90 on the tickets.
Let x represent how much Mary expects each ticket to cost. Write an inequality describes the problem and solve.
5x≥ 90
x≥ 18
200
Estimate 19(2.75)
20(3)
= 60
300
Can the sides of a triangle have lengths 2, 2, and 7?
No
300
Mrs. Rivera is interested in a particular bracelet. Its original price was $22,360, but it is currently priced at $16,770. What is the percent of decrease in the price of the bracelet?
The percent of decrease in the price of the bracelet is 25%
300
How can you tell if a graph shows a proportional relationship?
If the line passes through (0,0) and it is a straight line.
300
8(u + 77) = –56
u = –84
300
A runner completes 3/5 of a mile in one lap. How far did the runner actually travel after 4 laps?
2 2/5 miles
400
If <a is vertical to <b. What is the measure of x if <a is 9x-5 and <b is x.
5/8
400
Every year, Mandy and her sister attend 'The Nutcracker' at the Yardley Ballet. Last year, orchestra seating cost $58.40 per ticket. This year, each ticket was 7.8% cheaper. What was the cost of each ticket this year?
To the nearest cent, the cost of each ticket this year was $53.84.
400
Which equation shows a proportional relationship between x and y.
y=x+4
y=2x
y=2x
y=kx
400
Madelyn got 3 dresses cleaned at Steamboat Dry Cleaners. When she picked up her dresses, she gave the cashier a coupon that took $2 off her total. Madelyn paid $31 in all. Write an equation can you use to find the usual charge, d, for cleaning a dress?
3d-2=31
400
Evaluate if x=1 y=6 x=3
(2+3)(y-x+(z/3)+x)
35
500
Walter is going to eat a round lollipop that has a diameter of 12 centimeters. What is the lollipop's area?
If necessary, round your answer to the nearest hundredth.
A = 𝜋 × r2
≈ 113.04
The area is about 113.04 square centimeters.
500
Hank's Hardware purchased a barbecue grill for $350.36 and marked it up 185%. During a sale, the store marked it down 20%. What was the discount price of the barbecue grill?
To the nearest cent, the discount price was $798.82
500
After a shipwreck, Tanvi is stranded on a desert island. She needs to build a shelter, so she makes an axe using materials from the wreckage and starts cutting down trees. There is a proportional relationship between the number of days Tanvi is stranded on the island, x, and the total number of trees she cuts down, y.In her first 11 days on the island, Tanvi cuts down a total of 33 trees. Write the equation for the relationship between x and y.
y=3x
500
-2.45x+2>9.35
x<-3
500
What is the correct value of 2³ − 4(−3) + 1/2 ÷ 1/4?
22