Vocabulary
Words like sum, more, increased, altogether, and total are all key words for which operation?
What is Addition
6x-3=1/3(21x+18)
x=-9
Write an equation and solve for x
Silver Gym costs $75 to join their gym plus $25 per training session. World Fitness costs $100 to join and only $20 per training session. How many sessions will it take for the cost to be the same?
75+25x=100+20x
x=5 sessions
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
12≤3/4x+3
Words like deduct, shorter, decreased, less, and used are all key words for which operation?
What is Subtraction
9.68x + 21.6 - 6.23=2.3x + 17
-4
Write an equation and solve for x
Carissa has $250 in her savings account and is saving $15 each week. Brooke has $750 in her checking account account and is spending $10 each week. How many weeks will it take for Carissa and Brooke to have the same amount of money in their accounts?
250+25x=750-10x
x=20 weeks
Trash Management charges its customers a fee of $25 plus $8 for each trash can they need emptied. Waste Away charges its customers $12 per trash can with no fee. Write an inequality that can be used to determine the number of trash cans for which it is less expensive for a customer to use Waste Away as their trash service.
25+8x>12x
Words like twice, per, each, double, and product are all key words for which operation?
What is Multiplication
16-x=-12+3x
x=7
Write an equation and solve for x:
A tree was 4 feet tall and growing at a rate of 0.45 feet per year. Another tree was 5 feet tall and growing at a rate of 0.25 feet per year. How many years would it take for the trees to be the same height?
0.45x+4=0.25x+5
x=5 years
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
5.50x ≥ 5225
Words like is, was, were, have, has, are all key words for what?
What is an Equal Sign
12.5+0.4x=-9.5-4x
x=-5
Write an equation and solve for x:
A pool holds 356 gallons of water but is leaking at a rate of 6 gallons per week. A second pool holds 484 gallons but is leaking at a rate of 8 gallons per week. After how many weeks will the amount of water in the two pools be the same?
356-6x=484-8x
x=64 weeks
Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entireordercosts$9.99. If he can spend no more than $100, how many DVD's could he buy?
15.99x+9.99≤100
Words like at least, minimum, and no less than, are all key words for what symbol?
What is greater than or equal to
25/6x-3/2=13/6x+3/2
x=3/2
Write an equation for the following and solve for x:
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks.
0.29x+30=0.35x
x=500
A soccer club plans to buy shirts for its team and supporters. ProV Graphics charges a $75 setup fee plus $7 per shirt. BT Designs has no setup fee but charges $10.50 per shirt. How many shirts does the team need to order for ProV Graphics to be the better option?
75+7x < 10.50x