Vocab
Inequality is...
A mathematical sentence that compares expressions.
c<25
Leo wants to buy a new gaming console that costs $400. He has already saved $150. If he earns $25 per week (w) mowing lawns, what is the minimum number of weeks he needs to work to afford the console
(w > 10)
x-5< -3
x < 2
(3x + 5 > 20)
x > 5
Solution of an inequality is....
A value that makes a inequality true.
Jamie has $20 to spend at the amusement park. if each ride cost $3, what is the maximum number of rides (r) Jamie can go on? Write at solves the inequality.
6 0r 6.67
Sarah is hosting a party and has a budget of $120. She spends $30 on decorations and wants to buy pizzas that cost $15 each. What is the maximum number of pizzas (p) she can buy without going over her budget?
(p < 6)
13 < x + 14
x > -1
(y/4 - 7< -2)
y < 20
A solution set is...
The set of all solutions.
A student has $50 to spend on video games. if each game cost $12, write and solve an inequality to find the maximum number of games, g, the student can buy.
Inequality: 12g < or Equal to 50
Solution: g < or Equal to 4.16
The student can buy at most 4 games.
A canoe rental service charges a flat fee of ($20) plus ($35) per hour. You have no more than ($150) to spend. Write and solve an inequality to find the maximum number of hours, (h), you can rent the canoe
(h < 3.71)
w + 7 < 4
w < -3
(-2w + 10 < 24)
w > -7
Graph of an inequality is...
Shows all the solutions of the inequality on a number line.
Valentina is baking jumbo cinnamon rolls. She uses all her dough to make 12 rolls, but each roll must weigh less than 4 ounces to bake properly. If w is the weight of one roll, what is the inequality?
w < 4
A school trip costs a total of ($250) for buses. If ($18) is already collected for snacks, and each of the (s) students pays ($12) for the bus, write and solve an inequality to find how many students must attend to cover the bus cost
(s > 19.33)
d + 10 < 12.5
d < 2.5
15 > 6 + z/2
z < 18
Symbol is...
A character, sign,or figure, used to concisely represent a mathematical object.
The class needs to raise at least $500 for a trip. They have already raised $150. How much more (m) do they need? write and solve the inequality.
Solution: m > or Equal to 350
your phone plan costs ($30) per month plus ($5) for every GB of data over the limit. You want your total bill to be less than ($60). Write and solve an inequality to find the number of extra GB, (g), you can us
(g<6)
x + 3/4 > 1 1/2
x > 3/4
(12 - 5k > 42)
k < -6