Basics
Solve for x:
x+5>10
x>5
How would you represent x<4 on a number line?
A line starting to the left of 4 with an open circle at 4.
Write an inequality for this situation: "A person must be at least 18 years old to vote."
x≥18
You have $50 to spend on fruit. If oranges cost $2 each, how many can you buy? Write an inequality and then solve for your answer.
2x≤50
x≤25.
You can buy up to 25 oranges.
How old is Miss Smaldon?
25
Solve for x:
3x≤12
x≤4
Graph x ≥ −2 on a number line.
A line starting to the right of -2 with a closed circle at -2.
"A train can hold a maximum of 200 passengers." Write the inequality.
x≤200
"A chain can hold a maximum weight of 500 kg. If each box weighs 125 kg, how many boxes can the chain hold?" Write an inequality and then solve for the answer.
125x≤500, x≤4. The rope can hold up to 4 boxes.
What is Miss Smaldon's dog's name?
Stanley
Solve for x:
−2x>6
x<−3
True or False: x>2 and x≥2 are graphed the same way.
False as x>2 has an open circle; x≥2 has a closed circle
Write an inequality: "A student needs at least 50% to pass their exam."
x≥50
"You have at least $20 in your wallet. After buying a drink $3, you still have enough to buy a sandwich for x dollars. Write an inequality and solve for the maximum cost of the sandwich.
3+x≤20, x≤17. The sandwich can cost at most $17.
Where did Miss Smaldon grow up?
Sunshine Coast
Write the inequality: "A number is at least 7.
x≥7
What does a closed circle on a graph mean?
The number is included in the solution, corresponding to ≥ or ≤
"A car rental company charges $50 per day and a customer can spend no more than $200. Write an inequality and show how many days can they rent the car?"
50x≤20
x≤4. They can rent the car for at most 4 days.
You are saving money to buy a bike that costs $300. You already have $120 saved. If you save $20 each week, how many weeks will it take to have enough money for the bike? Write and solve the inequality.
120+20w≥300
20w≥180
w≥9 It will take at least 9 weeks.
This is her 4th year
Solve for x:
5x−3 ≥ 2x+6
x ≥ 3
Graph the inequality 2x+1 ≤ 5
Solve to get x≤2, then graph with a closed circle at 2 and a line extending to the left.
A rectangle has a perimeter of at most 36 cm. If the width is 5 cm, what is the maximum length?
2(5) + 2l ≤ 36
10 + 2l ≤ 36
2l ≤ 26
l≤13. The maximum length is 13 cm.
A family spends $200 on tickets for an amusement park. Adult tickets cost $50, and child tickets cost $20. If a is the number of adult tickets and c is the number of child tickets, write an inequality to represent the situation.
50a+20c≤200
What is the date of Miss Smaldon's wedding next year?
20/03/2027