Use the cross product to see if the following are equivalent ratios. Write yes or no.
13/72 and 7/35
No, they are not equivalent ratios.
100
List the characteristics of the following types of angles.
a. Right
b. Obtuse
c. Acute
d. Straight
a. 90 degrees
b. greater than 90 degrees
c. less than 90 degrees
d. exactly 180 degrees
200
Write 13/9 and 81/11 as mixed numbers.
1 and 4/9, 7 and 4/11
200
Solve for the variable.
4x + 5 + 16x = 45
x = 2
200
List the possible integer solutions for the following inequality.
-7 < y < 1
-6, -5, -4, -3, -2, -1, 0
200
Solve for k.
126/k = 14/3
k = 27
200
Find the area of a trapezoid with bases of 4 and 9 yards and a height of 5 yards.
32.5 sq. yards
300
Write the following rational numbers in order from smallest to largest.
0.7, 0.755, 5/8, 11/16
5/8, 11/16, 0.7, 0.755
300
Simplify the expression.
2a + 5c - 9 - 3a - 12b + 10 + 15b - a
-2a + 3b + 5c + 1
300
Solve and graph.
-10d < 95
d > 9.5
Open circle to the right.
300
Joseph drives 125 miles in 2.5 hours.
a. How far will he be able to travel in 6 hours?
b. What is the unit rate?
a. 300 miles
b. 50 miles per hour (mph)
300
Find the area of a circle with a diameter of 19 inches. Use 3.14 for pi. Round to the nearest tenth.
283.4 sq. inches
400
During track season, Sara ran 240 laps around the track. Of those laps, 36 were at track meets. Write the portion of laps at track meets as a simplified fraction, decimal, and percent.
3/20, 0.15, 15%
400
Erica lives 3.5 times farther from school than Ryan does. Erica lives 13.3 miles from school. How far from school does Ryan live? Write and solve an equation.
3.5r = 13.3
r = 3.8 miles
400
Wilson has at most $60 to spend on clothes. He wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt costs $8. How many t-shirts can Wilson buy? Write and solve an inequality.
8s + 22 less than or equal to 60
0, 1, 2, 3, or 4 shirts
400
To determine the number of deer in a forest, a forest ranger tags 280 deer and releases them back into the
forest. Later in the year, 45 out of 405 deer caught are tagged. Estimate how many deer are in the
forest.
2,520 deer
400
The dimensions of an aquarium are 30 cm by 40 cm by 30 cm. If one fish requires 5 liters of water to live happily, what is the maximum number of fish that should be kept in this aquarium? Hint: 1 liter = 1000 cubic cm
7 fish
500
A 1-kilogram rock dropped into the ocean would take 37 minutes to reach -6,660 meters. If the rock dropped steadily, how far would it fall in 1 minute?
180 meters
500
Danny goes shopping. He has $75. He buys a jacket for $39 and 3 pair of socks. Each pair of socks cost the same price. Determine the price of one pair of socks by WRITING and SOLVING an equation.
3x + 39 = 75
x = $12
500
Xavier earns a commission of $500 for every car he sells. How many cars does he need to sell in order to earn at least $17,000 in commission this month? Write and solve an inequality.
500c greater than or equal to 17,000
c greater than or equal to 34 cars OR at least 34 cars
500
$5 in the U.S is equivalent to 435 Kenyan Shillings. If Hap buys a backpack in Kenya for 2,392.50 Kenyan Shillings, how much is it worth in the United States?
$27.50
500
A rectangular prism-shaped classroom has dimensions of 9.1 m long, 10.3 m wide, and 3.2 m high.
a. What is the area of the floor?
b. What is the volume of the room?
c. What is the total area of the four interior walls?
a. 93.73 sq. meters
b. about 300 cubic meters
c. about 124 sq. meters