For a two-step word problem, what is the main purpose of drawing a tape diagram?

To find the answer with a calculator

To visualize the parts and the whole

Puzzle Problems Practice — Grade 8 math

1. Maria buys 4 packs of pencils with 6 pencils in each pack. She also has 7 loose pencils. How many pencils does she have in total? ___
2. A librarian has 60 new books to put on 6 equal shelves. She then takes 2 of those shelves of books to a classroom. What is the first step to find how many books she took?
- A. Multiply 60 by 2
- B. Subtract 6 from 60
- C. Divide 60 by 6
- D. Add 60 and 6
3. A farmer collects 48 eggs and puts them into cartons that each hold 8 eggs. He then sells 4 of the cartons. How many eggs did the farmer sell? ___
4. Liam has 8 sheets of stickers with 10 stickers on each sheet. He uses 25 stickers for an art project. How many stickers does he have left? ___
5. For a two-step word problem, what is the main purpose of drawing a tape diagram?
- A. To find the answer with a calculator
- B. To make the problem longer
- C. To practice drawing rectangles
- D. To visualize the parts and the whole
6. Solve the equation for $x$: $3(x - 6) = 12$. $x = \_\_\_$
7. Solve the following equation for $x$. $$\dfrac{4+2x}{3} = 12$$ $x = $ ___.
8. Solve the equation for $y$: $\frac{5y - 8}{2} = 11$. $y = \_\_\_$
9. To solve the equation $\frac{z}{3} + 9 = 15$, what is the correct first step?
- A. Multiply both sides by 3
- B. Subtract 9 from both sides
- C. Divide both sides by 3
- D. Add 9 to both sides
10. Solve the equation for $x$: $\frac{x - 5}{4} + 6 = 10$. $x = \_\_\_$