Unit 6 - Models/Descriptions/Solving

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. Which equation represents after how many training sessions would the cost be the same?

• 75+25x=100+20x

• 75x+25=100x+20

• 75x-25=100x-20

• 75-25x=100-20x

Elliot and Juan are both on a mountain hike. Elliot is currently at 2,000 ft and is descending at a rate of 10 feet per second. Juan is currently at 1,000 feet and is ascending at a rate of 6 feet per second. Which equation represents after how long both hikers will be at the same height?

• 1,000+6x=2,000-10x

• 1,000-6x=2,000+10x

• 1,000+6x=2,000+10x

• 2,000+6x=1,000-10x

Tags

CCSS.8.EE.C.7B

The NYC bus costs $2.50 per ride. They also sell a bus pass that is $15 and then only $1.00 per ride. After how many rides would both options cost the same?

• 10

• 8

• 4

• 12

Adam has $3,000 and is depositing $750 each month. Mikayla has $6,000 in her savings account and makes no additional deposits or withdrawals. Which inequality represents after how many months Adam will have more than Mikayla?

• 3000+750x>6000

• 3000+750x<6000

• 3000+750x<6000x

• 3000-750x>6000

Tags

CCSS.7.EE.B.4B

After a flood, the Garcia's had 5 inches of rain in the garage that was being pumped out at a rate of 0.75 inches per hour. The Smith’s had 15 inches of rain in their garage being pumped out at a rate of 2.5 inches per hour. Which inequality represents after how many hours there will be less water in the Smith's garage than in the Garcias?

• 15-2.5x<5-0.75x

• 15-2.5x>5-0.75x

• 15+2.5x<5+0.75x

• 15x-2.5<5x-0.75

Tags

CCSS.7.EE.B.4B

• B

• A

• C

• D

Tags

CCSS.7.EE.B.4B

A minor league baseball team has a member's club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?

• 10 tickets

• 12 tickets

• 8 tickets

• 14 tickets

Carissa has $250 in her checking account and is saving $15 each week. Brooke has $750 in her checking account and is spending $10 each week. Which inequality represents after how many weeks Carissa will have more money than Brooke?

• 250+15x>750-10x

• 250+15x<750-10x

• 250x+15>750x-10

• 250-15x<750+10x

Which situation matches the equation?

• B

• A

• C

Which situation matches the equation?

• F

• D

• E