Advanced Number Concepts
100-(4*5)
80
Solve for x:
4x+2=10
2
In basketball, you can score a 2-pointer and a 3-pointer. If Josh made only 3-pointer shots and his score was 42, how many shots did he make?
3x = 42
x = 14
A triangle has a base of 5 inches and a height of 10 inches. What is the area of it?
Hint: A = 1/2 bh
25
Simplify 4x+9x-7
13x-7
-150-(-50)
=100
Solve for x = 3:
2(10-x)+8x
36
Kevin went to a restaurant with his friends for lunch. The lunch cost $20. He tipped them 20%. How much did he spend on his lunch?
20% = 20/100 = 0.2
20 * 0.2 = 5
20 + 5 = 25
$25
What is the distance between 90 and -63?
153
Your sister wants to decide what to wear to a party. She has a red dress, a white dress, and a black dress. She also has black heels, white heels, gold sandals, and black flats. She also has a gold necklace and a silver necklace. How many combinations can she make?
3 * 4 * 2 = 24
24 combinations
14
Simplify:
4x2 + 10x2 - 5x + 2x + 2 + 20/5
14x2 - 3x + 6
A dog cafe charges $20 to enter the cafe, and then $5 for each hour you stay and play with the dog. How much are you spending if you want to stay for 2 hours?
20 + 5x
20 + 5(2) = 20 + 10 = 30
$30
Angles A and B are supplementary. If angle A is 152, what is angle B?
28
What is the probability that a number cube lands on an even number and a coin lands on heads? Answer as a decimal, percent, and simplest fraction.
1/4
25%
0.25
Simplify the ratio 25:5
5:1
Factor:
5x+25
5(x+5)
In January, 90% of students wore masks. In May, the percentage of students who wore masks decreased by 80% compared to January. What percentage of students wore masks in May?
80% = 80/100 = 0.80
90 * 0.8 = 72
90 - 72 = 18
18 %
The volume of a cube is 1000 cubic feet. What is the length of one side?
V = B * h
10 feet
The equation d = 60 t gives the distance in miles, d, that a car can travel in t hours. How long will it take Shawn to drive 300 miles?
5 hours
12 รท 4/3
9
3x - 5
Jack and Ethan raced on a track. Jack runs at 6 feet per second, and Ethan runs at 5 feet per second. If both started running at the same time, how far apart were they after a minute?
60 feet
What is the volume of a cylinder that has diameter 12 and height 10? Answer in terms of pi.
V = B * h
360 pi
Charlotte is going to walk, jog, and run a total distance of 30 miles for charity. She plans to walk 1/2 of the total distance, jog 1/3 of the total distance, and run the remaining distance. How many miles does Charlotte plan to run?
5 miles