HMH Module 2 Practice

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

9x - 4x - 5 = 10

• 3

• -3

• 1

• 3.5

3x + 2(4x - 4) = 3

What is the solution to the equation?

• 4

• 3

• 2

• 1

Solve: 5x + 15 = 10x - 40

• x = 10

• x = -10

• x = 11

• x = -11

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = 6

Step 4 x = 2

In which step did Jacob make a mistake? (Explain and correct on your paper)

• Step 1

• Step 2

• Step 3

• Step 4

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

3(x-8)=3x-24

• No Solution

• x=3

• Infinite Solutions

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Gym A has a start up fee of $40 and monthly fee of $10 whole Gym B only has a monthly fee of $20, after how many months will the gyms costs the same? Which equation models this?

• 10x - 40 = 20x

• 40x + 10 = 20x

• 10x + 40 = 20x

• 40x - 10 = 20x

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride.

Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10