7.6.01 - 7.6.06 IM Practice Problems

Which equation cannot be answered by the solution to the equation 3x = 27?

• Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

• Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

• Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

• The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

Select all stories that the tape diagram can represent.

• There are 87 children and 39 adults at a show. The seating in the theater is split into 4 equal sections.

• There are 87 first graders in after-care. After 39 students are picked up, the teacher put the remaining students into 4 groups for an activity.

• Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

• Andre buys 4 packs of paper clips with 39 paper clips in each. Then he gives 87 paper clips to his teacher.

• Diego’s family spends $87 on 4 tickets to the fair and a $39 dinner.

Select all the equations that match the tape diagram.

• 35 = 8 + x + x + x + x + x + x

• 35 = 8 + 6x

• 6x + 8 = 35

• 6x + 8x = 35x

• 35 - 8 = 6x

Which equation represents the following story?

Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

• 3x + 6 = 27

• 6x + 3 = 27

• 27x + 3 = 6

Here is a diagram and it's corresponding equation. Find the solution to the equation.  Select all that apply.

• x = $\frac{10}{6}$  

• x = -7.5

• x =  $\frac{5}{3}$  

• x =  $\frac{32}{6}$  

Which equation represents the following story?

A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show.

• 3(x + 6) = 24

• 6(x + 3) = 24

Here is a diagram and its corresponding equation. Find the solution to the equation.

• x = 143

• x = 3

• x = 5

• x = 145

Which story or stories can be represented by the equation 5(x + 3) = 17

• Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

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

• Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?

• Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation 2(x+20)=90 describes this situation. What does the x represent?

• The number of minutes that Jada walked

• The number of minutes that Elena walked

• The number of minutes that Lin walked