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
On Saturday, you bowl at Moro Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pins, where the shoe rental is $1.55 and each game bowled is $3.25. is you spent the same amount each day, how many games were bowled?
2+3.50x=1.55+3.25x
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
On one side of a balance beam, there are 5 blocks. 3 weighting 3 grams each and 2 weighing x grams each. The scale is balanced if 8 blocks weighing x grams each are placed on the other side of the scale. How much does each side o the unknown blocks weigh?
9+2x=8x
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
Andrew is choosing between two phone plans that have the same amount of free minutes. AT&T's plan charges $39.99 per month with additional minutes costing $0.45. Verizon's plan costs $49.99 with additional minutes at $0.40. How many additional minutes will is take for the costs to be the same?
39.99+0.45x=49.99+0.40x
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
In 1970, 34.7 million households owned a dog and 27.7 million owned a cat. Since then, dog ownership decreased by 0.025 million households per year, and cat ownership increased by 0.375 million households per year. How many years will it take for them to be equal?
34.7-0.025x=27.7+0.375x
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
Container A has 200L of water and is being filled at a rate of 6 liters per minute. Container B has 500L of water and is being drained at a rate of 6 liters per minute. How long will it take for the two containers to have the same amount of water?
200+6x=500-6x
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