A
What is the difference between an equality and an inequality?
Equality uses an equal sign.
A video game club charges a rental fee of $5 per game for nonmembers. For a $25 fee, members can rent games for $3 per game. How many games, g, does a member need to rent to make the cost the same?
5g = 25 + 3g
What strategy can you use to help you solve a word problem?
CUBES
Wing Stop charges $10 for a meal and $0.99 per extra wing. Buffalo Wild Wings charges $8.99 for a meal and $1.20 for each additional wing. How many wings, w, must you order for the meals to cost the same?
10 + 0.99w = 8.99 + 1.20w
Kourtney can make $18 per hour by tutoring. Jondo can make $12 per hour by tutoring. Jondo already has $19. How many hours, x, would Kourtney and Jondo need to tutor for them to have the same amount of money?
18x = 12x +19
The 8th grade is hosting a carnival fundraiser. Class A has already raised $615 and is selling tickets for $3.50 each. Class B has already raised $550 and is selling tickets for $4.25 each. How many tickets, t, must the classes sell to raise the same amount of money?
650 + 3.50t = 550 + 4.25t
Two containers have leaks. Container A begins with 90 ounces and leaks at a rate of 1.2 ounces per minute. Container B begins with 80 ounces and leaks at a rate of 0.8 ounces per minute. How long until the containers have the same amount of water?
90 - 1.2x = 80 - 0.8x
The cost of 5 notebooks is greater than the cost of 3 notebooks plus a 2 dollar pen.
5x > 3x +2
Brent has already written 20 pages of his essay and Sierra has written 16 pages. Brent writes 2 pages per day and Sierra write 3 pages per day. How many days, d, until Sierra has written more than Brent?
20 + 2d < 16 + 3d
Johnny makes pies for a fundraiser. Each pie costs $3 to make and he spends $20 on equipment. He plans to sell the pies for $5 each. How many pies, p, must Johnny sell before he begins making a profit?
3p + 20 < 5p
Brody rode his bicycle on different days. The first day he rode 7 miles per hour and started 2 miles away from his house. The second day he started at his house and rode 10 miles per hour. What is x, the number of days that Brody would have to ride his bicycle to travel the same distance on both days?
7x + 2 = 10x
Naomi has 19 pieces of gum and gives 2 away each class period. Micah has 7 pieces of gum and gets 3 pieces each class period. How many classes, c, until Micah has more gum than Naomi?
19 - 2c < 7 + 3c
Christopher considers changing his music downloads service. His current service offers downloads at $0.99 each with a fee of $4.95. Another new service offers a monthly fee of $6.75 with downloads at $0.74 each. How many songs, x, will he need to download for the new service to cost less than the old service?
0.99x + 4.95 > 0.74x + 6.75
Luna has a bucket that contains 400 mL of water. Justin has a bucket that contains 350 mL of water. Luna's bucket is draining at a rate of 2 mL per minute and Justin's bucket is being filled at a rate of 1.4 mL per minute. How many minutes, m, must pass for the buckets to contain the same amount of water?
400 - 2m = 350 + 1.4m
Darian's salary is $45,000. Rebecca's salary is $38,000. Rebecca also makes an extra $100 each week by working a part-time job. How many weeks, w, must Rebecca work to make more than Darian?
45,000 < 38,000 + 100w