Inequalities
Equivalent Expressions
Solving Equations
Applied Equations
100
Graph the following inequality:
x>7
100
Simplify the Expression:
8u-u+3
7u+3
100
Solve for r:
-5r=-3r+6
r=-3
100
After watching baking shows on T.V., Jared signs up for a cake-decorating class. To practice his new skills, he decorates a batch of cupcakes with sugar flowers. Jared puts 5 sugar flowers on each cupcake. In all, Jared puts 30 sugar flowers on the cupcakes.
Write and solve and equation to find the number of cupcakes Jared decorates.
5c=30
c=6
200
Solve and graph the following inequality:
4(d-4)<=8
d<=6
200
Simplify the expression:
8(-2-10m)
-80m-16
200
Solve for u:
-3+2u+6=-8u-7
u=-1
200
Susan's science class is doing a fun experiment. Each student must make a parachute that can safely carry a raw egg from the school roof to the ground. On the day of the parachute experiment, Susan's teacher gives 2 raw eggs to each student in the class. She gives out a total of 44 eggs.
Write and solve an equation to find the number of students in Susan's class.
2s=44
s=22
300
Solve and graph the following inequality:
6>=-m+2
-4<=m
300
Simplify the expression:
8c+2(1+4c)
16c+2
300
Solve for c:
-20-4c-6c=2(9c+19)-2
c=-2
300
At Frameworks Hardware Store's annual start-of-summer sale, every drill set in the shop gets marked down. Arianna purchased 2 drill sets during the sale: one for herself and one to give her grandpa on Father's Day. Each drill set cost $25 less than its full price. She paid a total of $86.
Write and solve an equation to find the full price of each drill set.
2(f-25)=86
f=68
400
Alyssa has saved $42 so far for a new bike. She plans to save the same amount of money each week for the rest of the summer. There are 6 weeks left. To buy the bike, Alyssa needs to have at least $90 saved.
Write an inequality that describes this situation, where m is the amount of money Alyssa saves each week to reach her goal.
6m+42>=90
400
Simplify the expression:
3(4+6k)-7+10k
28k+5
400
Solve for d:
3-1/2d=3/2d+4-d
d=-1
400
Beth is buying coffee for everyone in her study group. If she goes to the café next to her school, it will cost her $3.25 per coffee. If she goes to the café by her home, it will cost her $3.75 per coffee, but she has a coupon for $5 off.
Write and solve an equation to Show how many coffees Beth would need to buy for the price to be the same.
3.25c=3.75c-5
c=10
500
Jordan has already read 18 pages of a book this week. For the rest of the week, Jordan plans to read the same number of pages each day. There are 7 days left in the week. By the end of the week, Jordan wants to read more than 60 pages in total.
Write an inequality that describes this situation, where p is the number of pages Jordan reads each day to meet the goal.
7p+18>60
500
Simplify the expression:
-1+ -3(-9-5s)
15s+26
500
Solve for x:
1/4(1/2x-9)=1/2(x+18)
x=-30
500
Jasmine plans to make and sell birdhouses this summer to earn extra money. She bought some woodworking tools for $286, and she will need to buy $12 worth of wood for each birdhouse. She plans to sell the birdhouses for $25 each.
Write and solve an equation to show how many many bird houses she needs to sell to equal the cost of the wood and tools.
12c+286=25c
22=c