One Variable Inequalities
Solve and graph on a number line x + 3 < 4. Use set builder notation.
{x|x < 1}
Graph the inequality 5x + y > 10.
y > -5x + 10
Solve using the method of your choice. x+y = 2, -3x+4y=15
(-1, 3)
William is 4 times as old as Ben. 12 years ago, William was 7 times as old as Ben. How old is Ben now?
William is 84 and Ben is 12
Name at least 2 of the "Hidden Figures"
Katherine Johnson, Dorothy Vaughan and Mary Jackson
Solve and graph on a number line -3x > 9. Use set builder notation.
{x|x < -3}
Graph the inequality -2x + y < -4
y < 2x - 4
Solve using the method of your choice. -4x+2y=0, 10x+3y=8
(.5, 1)
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Van- 8, Bus- 22
Who is currently the #1 most streamed artist on Spotify?
The Weeknd
Solve and graph on a number line |4n + 3| > 18
{n|n < -5.25 or n > 3.75}
10x + 2y <orequalto 14
y <orequalto -5x+7
Solve using the method of your choice. y = 4x+6, 5x+y=-21
(-3, -6)
Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.
small box of oranges: $7, large box of oranges: $13
Who sings the original version of Fast Car that was made popular again by Luke Combs?
Tracy Chapman
Solve and graph on a number line. Use set builder notation. |3h+1/2|<8
{h| -5.66 < h < 5}
A cafe sells strawberry smoothies and banana smoothies. The cafe makes a profit of $2.25 for each strawberry smoothie and a profit of $2 for each banana smoothie that is sold. The owner of the cafe wants to make a profit of more than $90 per day from the sale of smoothies. Write an inequality that represents the number of strawberry and banana smoothies the cafe needs to sell.
2.25x + 2y >90
Solve using the method of your choice.8x + 4y = 12
y = -2x + 3
Infinitely Many Solutions
A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
boat: 26 mph, current: 2 mph
Name 5 countries in Africa.
Express the statement using an inequality involving absolute value. Serena will make the A team if she scores within 8 points of the team average of 92.
|x - 92| <orequalto 8
Khaya is training for a triathalon. One day she jogged for 2 hours at x miles per hour. Then she biked for 2 hours at y miles per hour. Finally, she swam a distance of 2 miles. The the total number of miles didn't exceed 30 miles. Write an inequality to represent the distance she traveled on that day. Then answer what is the greatest possible distance she could have bicycled that day?
2x+2y+2<orequalto 30 OR y<orequalto 14 - x
14 miles per hour is the greatest possible solution for y in the set.
Solve using the method of your choice. x-5y=10, 3x-15y=15
No Solution
Ms. Richardson is giving you a test worth 100 points and it contains 40 questions. There are two-point and four-point questions on the test. How many of each type of question are on the test?
30 2 point questions and 10 4 point questions.
Who performed at the Super Bowl halftime show and name at least one guest performer they brought out?
Usher- Alicia Keys, Ludacris, Will-I-Am