Answered

Find the missing numbers.


  1. □ $+ 42 = 58$

□ = ____


  1. [Incomplete item]


  1. □ $= 89$

□ = ____



Write equations to solve each problem.


  1. There are 6 girls at a park. 6 boys join them. Then 4 girls go home. How many children are at the park now?

____ + ____ = ____

____ - ____ = ____

____ children


  1. Mr. Villa's class has 23 students. Ms. Anderson's class has 3 more students than Mr. Villa's class. How many students are there in all?


  1. Mike used 27 nails to build a chair. He used 14 more nails to build a table than he used to build the chair. How many nails did Mike use to build the table? Use any strategy to solve. Explain your solution.

____ nails

Verified Answer :

  • For problem 3, \(\Box + 42 = 58 \Rightarrow \Box = \boxed{16}\).
  • For problem 6, \(6 + 6 = 12\) and \(12 - 4 = \boxed{8}\) children.
  • For problem 7, \(23 + (23 + 3) = \boxed{49}\) students.
  • For problem 8, \(27 + 14 = \boxed{41}\) nails.

Explanation

  1. Solving Problem 3

The problem asks to find the missing number in the equation \(\Box + 42 = 58\). Let \(\Box = x\). To find the value of \(x\), we subtract 42 from both sides of the equation:
\[x = 58 - 42 = 16\]
Therefore, \(\Box = 16\).

  1. Solving Problem 6

The problem states there are 6 girls at a park, and 6 boys join them.
First, we find the total after the boys join: \(6 + 6 = 12\) children.
Then, 4 girls go home: \(12 - 4 = 8\) children.
The final number of children at the park is 8.

  1. Solving Problem 7

Mr. Villa's class has 23 students. Ms. Anderson's class has 3 more students, so we calculate the number of students in her class:
\[23 + 3 = 26\]
To find the total number of students in both classes, we add the number of students in both:
\[23 + 26 = 49\]
There are 49 students in total.

  1. Solving Problem 8

Mike used 27 nails for a chair. For the table, he used 14 more nails than for the chair:
\[27 + 14 = 41\]
Mike used 41 nails to build the table.

Examples

Understanding these basic algebraic concepts is essential for daily life. For instance, if you are buying items at a store and know how many you have and how many more you need to reach a target, you are performing similar algebraic operations. Whether it's tracking inventory for a hobby, managing budget limits, or counting people at a gathering, these fundamental calculations provide the base for solving more complex real-world problems.

Related Questions