Understanding multi-step problems involving non-linear equations in one variable

Which equation represents the verbal phrase below?

The difference of a number and 7 is 10

• 7 ÷ n = 10

• 7 − n = 10

• n - 7 = 10

• $n\div7\ =\ 10$

Which equation matches the phrase below?

the answer to 4 times a number is 22

• 4n = 22

• 4 + n = 22

• 4 - n = 22

• 4/n = 22

Mrs. Ptak's class is going on a field trip to the museum. The trip costs $36.50 per student. The cost includes $9.50 for a special exhibit, one entrance ticket, and one gift shop voucher. The gift shop voucher is good for 50% of the cost of the entrance ticket. Which equation would help us find the cost of the entrance ticket?

• 9.5 - 0.5x = 36.50

• 9.5 - 1.5x = 36.50

• 9.5 + 1.5x = 36.50

• 9.5 + 0.5x = 36.50

What is the most popular method to travel over Spring Break?

• Airplane
• Train
• Car
• Bicycle

What equation matches this situation: What number do you divide by 9 to get 8?

• 9 + n = 8

• 9 - n = 8

• 9n = 8

• n/9=8

Sally is paid a fixed amount of money to walk her neighbor’s dog every day after school. When she is paid each month, she puts aside $𝟐𝟎 to spend and saves the remaining amount. After working for 6 months, Sally makes a total of $270. Which equation can be used to determine how much Sally made each month.

• $6x+20=270$

• $6x-20=270$

• $6(x+20)=270$

• $6\left(x-20\right)=270$

The combined ages of the 7th grade class is 1,582.  The combined ages of the 8th grade class is 34 more than the 7th grade.  Which equation can help you find the combined ages of the 8th grade class?

• 1,582 + 34 = h
• h = 1,582 - 34
• 1,582 - h = 34
• 34 = h + 1,582

WRITE AN EQUATION

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

After you have identified the equation , solve it on your HW paper.

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

Which equation represents this tape diagram?

• 3 - x = 44

• 3 + x = 44

• 4(3 + x) = 44

• 3(3 + x) = 44

The boiling point of liquid is less than 100 Degree Celsius by 25 Degree Celsius.

• $100-T=25$

• $25-T=100$

• $100T=25$

• $\frac{100}{T}=25$