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

The temperature in San Diego, California is $5\degree$ warmer than twice the temperature in Boise, Idaho.  The temperature in San Diego is $61\degree$ . Write an equation to determine the temperature in Boise. 

•  $2x-5=61$  

•  $2x-61=5$  

•  $2x+61=5$  

•  $2x+5=61$  

Lindsey and her classmates are making gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the 9 students at the table. Each student gets 3 licorice ropes to decorate the roof of their gingerbread house. Which equation can you use to find the number of licorice ropes r that came in the bag?

• 9r = 3

• r + 9 =3

• r/9 = 3

• r - 9 = 3

LeBron James has scored 857 points in 34 games played this season. Which equation could be used to figure out how many points (p) he averages each game?

• 857 ÷ 34 = p

• 857(34) = p

• 34 ÷ 857 = p

• 34 + p = 857

Jamie buys some hats that cost $4 each and 2 bags that cost $12 each. The total cost of the purchase $32. Determine the equation that matches the scenario.

• 4n + 12 = 32

• 2n + 48 = 32

• 4n + 24 = 32

• 4n + 2 = 32

Lori sold three times the boxes of cookies that Matt sold. Together they sold 52 boxes. Which equation is appropriate to solve?

• 3m + m = 52
• 3m = 52
• 3+ m + m = 52
• 3 + m = 52

After paying $8.35 for a sandwich, Lil Vulgris has $19.79. How much money did she start with? Which equation could you use to solve this problem?

• $8.35m=19.79$

• $m-19.97=8.32$
  

• $m-8.35=19.79$
  

• $\frac{m}{19.79}=8.35$

Julie has 102 beads to make n necklaces. Each necklace will have 17 beads. Which equation represents this situation?

• 102 - 17 = n

• 17 + n = 102

• 17(4) = 102

• 17n = 102

Which story matches with the equation c = 1.50b?

• Did you know that if you do not cut hair, it can grow 25% longer in a month?

• My friend always eats 20% of whatever I bring for lunch.

• My phone bill costs 25% less this month than last month.

• A candy bar is now 50% longer than it originally was.

What equation represents this hanger diagram?

• 2z + 3 = 5

• 2x + 3 = 5

• 5 = 3 - 2w

• 31y + 10 = 2

A garden contains 150 flowers, each of which is either pink or red.  There are 60 pink flowers.  If "r" represents the number of red flowers in the garden, what equations should you write to find the value of "r"?

• r/150 = 60
• 60r = 150
• r - 150 = 60
• r + 60 = 150