Inequalities
Josiah is planning a party at the trampoline park. There is a base fee of $55, plus $8 per guest. If Josiah wants to pay no more than $100, how many guests can he invite to his party?
x<5 guests
Write an equivalent expression for n + n - 0.18n in simplest form:
1.82n
A store sold 650 bikes last year. This year they sold 572 bicycles. What number represents the percent decrease in the number of bikes sold from last year to this year?
12%
Solve: 4x − 3 = 13
x=4
The sum of -3 + 7 − (- 4)
8
Addison wants to ride more than 80 miles on her bike this week. If she already rode 18 miles on the first day, write an inequality with two terms that represents the mean number of miles she will ride for the next 6 days.
6m + 18 < 80
Which expression represents the sum of (2x - 5y) and (x + y)
3x - 4y
Maggie owns a dog grooming business where the price of a Dog wash is $31.50 and the price of nail trim is $17.00. When purchasing both there is an 18% discount, what is the total price if a customer bought both.
39.77
Solve for x: 2(x+5)=18
x=4
A diver is 12.6 feet below sea level. She descends another 7.4 feet. Write an expression to determine her new depth.
-12.6 + -7.4 = -20
Write a graph that represents the solution
-4x + 4 > 16
x< -3
Write the equivalent expression for the following in the simplest form?: -⅓ (6x+15) - 3
-2x - 8
Cheryl earns $23.75 for 2 ½ hours of babysitting. How much would Cheryl earn if she worked for 5 ¾ hours?
$54.63
Write and solve an equation for the following situation: A number multiplied by 3, then increased by 4, equals 19.
x=5
Evaluate and Simplify: -3/4 + 6/8
0
Yolanda participated in a walkathon in which she earns $10 for every kilometer she walks. She wants to raise at least $300 over a Saturday and Sunday. If she earns $50 on Saturday, create a chart that represents the amount of kilometers she needs to walk on Sunday?
x > 25
Write an equivalent expression to the following in simplest terms: (7x - 5) - (3x - 2)
4x-3
Jenette purchased a concert ticket, the original price was $75. She used a coupon code to receive a 20% discount. Ticketmaster then added a 10% service fee on top of the discounted fee. Her tickets are cheaper by the original price (75) by what percent?
12%
Solve for x.
2x + 5 = 3
x=-1
The average temperature dropped 2.5°F each hour for 6 hours. What was the total change in temperature?
-2.5*6= -15
Hadley invested $140 into a simple interest account that earns 3% on interest per year. How long will it take for her to have earn $175 in the account?
9 years
Which expression represents the factorization of 32m and 56mp?
8m (4 + 7p)
Southwest Airlines and Spirit are offering a sale on flights to Florida. Southwest is offering a 1/3rd discount of its original price of $180, while Spirit is offering a $150 with a 25% discount. Which airline is the better deal?
Spirit Airlines
3/4(x−2)=6
x=10
A group owes a total of $18.75. If the debt is split equally among 5 people, how much does each person owe?
$3.75