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

For a school assembly, 304 students are to be seated in rows with 16 students in each row. How many rows of students will be seated for the assembly? Let r be the number of rows.

Select all equations that apply.

• r = 304 ÷ 16
• r = 16 ⋅ 304
• 304r = 16
• r = 16 ÷ 304
• 16r = 304

5.  After dropping 5ºF, the temperature was 37ºF.  Which choice models this situation?

• d - 37 = 5
• d + 5 = 37
• d - 5 = 37
• d + 37 = 5

Mariana spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

• 17 = 3x + x + 5

• 17 - 3 = 5

• 17x = 3+ 5

• 5(3+x) = 17

Choose the equation that matches the situation.

If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

• 1.15(5.75) = x

• 5.75x = 1.15

• 1.15x = 5.75

• x = 1.15/ 5.75

The difference between 5 times a number and 3 is 12.

• 3h - 5 = 12

• 5h - 12 = 3

• 5h - 3 = 12

• 12h - 3 = 3

A scuba diver dove 16 ft to an elevation of -50 ft. What was her elevation before the dive?

Which equation matches the scenario?

• x - 1/6 = 50

• x - 16 = -50

• 1/6 x = 50

• -50 = 16x

16. In gym class students were asked to form nine equal groups. If there were 16 students in each group, then how many total students were there?

What equation represents this hanger diagram?

• 6 = 2w + 3

• 6 = 3 + 2e

• 3 = 6 + 2t

• 6 = 2y + 3

WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

• 331=7x+6
• 331=13x
• 331=6x+7
• 331-7=6x

Which statement best describes a situation in which opposite quantities combine to make 0?

• A hot air balloon used propane to fly 50 feet higher, then used weights to fly 50 feet lower.

• A farmer mowed 5 inches off his grass one week, then it grew 4 inches the next week.

• A child grew 1.5 inches taller one year, then 1.5 inches taller the next year.

• A scuba diver swam to a location 25 feet below sea level, then she swam 8 feet deeper.