Addition: Shapes instead of numbers

Let's solve the problem step-by-step:

• Step 1: Identify the substitution needed.
  We are given that $\circ = 7$. Thus, we need to solve $42 + \circ$ by substituting $\circ$ with 7.

• Step 2: Substitute the value into the addition problem.
  The expression becomes $42 + 7$.

• Step 3: Perform the addition.
  To find $42 + 7$, add the two numbers: $42 + 7 = 49$

Thus, the solution to the problem is $49$.

Correct Answer Choice: $49$

Let's solve the problem step by step:

• Step 1: Start with the equation provided: $45 + \triangle = 50$.

• Step 2: To solve for $\triangle$, isolate it by subtracting 45 from both sides of the equation to maintain equality.

• This subtraction gives: $\triangle = 50 - 45$.

• Step 3: Perform the subtraction on the right-hand side: $50 - 45 = 5$.

Thus, the numerical value of the triangle ($\triangle$) is $5$.

To determine the value of the triangle, we begin with the equation given:

$\triangle + 7 = 10$

We want to isolate $\triangle$. To do so, we subtract 7 from both sides of the equation:

$\triangle + 7 - 7 = 10 - 7$

This simplifies to:

$\triangle = 3$

Thus, the value of the triangle is $3$.

To determine the value of the triangle, we will solve the equation $41 + \triangle = 50$.

Let's solve it step by step:

• Step 1: Start with the equation: $41 + \triangle = 50$.
• Step 2: To isolate $\triangle$, subtract 41 from both sides:
• Step 3: $41 + \triangle - 41 = 50 - 41$.
• Step 4: This simplifies to $\triangle = 9$.

Therefore, the solution to the problem is $\triangle = 9$.

To solve the equation $33 + \triangle = 40$, we will follow these steps:

• Step 1: Write down the equation: $33 + \triangle = 40$.
• Step 2: Subtract 33 from both sides to isolate $\triangle$:
• $\triangle = 40 - 33$.
• Step 3: Perform the subtraction: $40 - 33 = 7$.

Therefore, the numerical value of the triangle $\triangle$ is $7$.

Accordingly, the correct answer choice is $7$, which matches choice 4.

To solve the equation $6 + \triangle = 26$, we seek the value of $\triangle$. We can easily obtain this by isolating $\triangle$ on one side of the equation.

We employ the subtraction method to isolate $\triangle$:

• Subtract 6 from both sides of the equation:

Perform the calculation:

$\triangle = 20$

Thus, the numerical value of the triangle is $20$.

To solve the problem, we will determine the value of $\triangle$ in the equation $5 + \triangle = 10$.

Here are the steps:

• Step 1: Write down the original equation:

$5 + \triangle = 10$

• Step 2: Isolate $\triangle$ by subtracting $5$ from both sides of the equation:

$\triangle = 10 - 5$

• Step 3: Calculate the result:

$\triangle = 5$

Thus, the numerical value of the triangle symbol is $5$.

Therefore, the solution to the problem is $5$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information

• Step 2: Rearrange the equation to solve for $\triangle$

• Step 3: Perform the subtraction to find $\triangle$

Now, let's work through each step:
Step 1: The problem gives us the equation $8 + \triangle = 40$. We need to find the value of $\triangle$.
Step 2: To isolate $\triangle$, we subtract 8 from both sides of the equation: $\triangle = 40 - 8$.
Step 3: Perform the subtraction, $40 - 8 = 32$.

Therefore, the solution to the problem is $\triangle = 32$.

To solve this problem, we'll follow these steps:

• Recognize the format of the provided equation.
• Apply the appropriate arithmetic operation to isolate $\triangle$.
• Perform the necessary calculations.

Now, let's work through each step:
Step 1: The given equation is $78 + \triangle = 80$. We are tasked with finding the value of $\triangle$.
Step 2: To find $\triangle$, rearrange the equation to solve for $\triangle$:
$\triangle = 80 - 78$.
Step 3: Subtract the known value from the total to isolate $\triangle$:
$\triangle = 80 - 78 = 2$.

Hence, the solution to the problem is $\triangle = 2$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the equation given as $\triangle + 79 = 89$.
• Step 2: Solve for the unknown variable $\triangle$.

Now, let's work through each step:
Step 1: Observe that the equation is structured as an addition problem with an unknown symbol $\triangle$.
Step 2: To isolate $\triangle$, perform the subtraction $89 - 79$ on the right side of the equation:

$\triangle = 89 - 79$

Perform the subtraction:

$89 - 79 = 10$

Thus, the numerical value of the triangle ($\triangle$) is $10$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Substitute the value of $\circ$ and perform addition

Now, let's work through each step:
Step 1: The problem states that $\circ = 7$.
Step 2: Substitute the value into the equation $60 + \circ$ to get $60 + 7$.
Perform the addition: $60 + 7 = 67$.

Therefore, the solution to the problem is $67$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the known numbers in the equation.
• Step 2: Rearrange the equation to solve for the unknown value.
• Step 3: Calculate using basic subtraction.

Now, let's work through each step:
Step 1: The known numbers in the equation are $30$ and $38$. We need to find $\triangle$ in $30 + \triangle = 38$.
Step 2: Rearrange the equation to isolate $\triangle$: $\triangle = 38 - 30$.
Step 3: Calculate the difference: $\triangle = 8$.

Therefore, the value of the triangle is $8$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the number represented by the symbol $\circ$.
• Step 2: Substitute the symbol $\circ$ with the number 7.
• Step 3: Perform the addition of 7 and 21.

Now, let's work through each step:
Step 1: Identify $\circ = 7$ from the problem statement.
Step 2: Substitute the value 7 for $\circ$ in $\circ + 21$, so we have $7 + 21$.
Step 3: Add 7 and 21 to get 28.

Therefore, the solution to the problem is $28$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the value of the yellow box.
• Step 2: Perform the addition with the given value.
• Step 3: Verify the result is among the provided choices.

Now, let's work through each step:
Step 1: The problem states the yellow box is equal to $12$.
Step 2: Add $12$ to $50$:

$12 + 50 = 62$

Step 3: Look at the possible answer choices:

• Choice 1: $62$
• Choice 2: $52$
• Choice 3: $72$
• Choice 4: $54$

Therefore, the solution to the problem is $62$.

To solve this problem, we'll follow these steps:

• Step 1: Recognize that the yellow shape represents the number 12.
• Step 2: Replace the shape in the equation with its numeric value.
• Step 3: Perform the addition.

Now, let's work through these steps:
Step 1: The problem states that the yellow shape is equivalent to $12$.
Step 2: We replace the yellow shape with $12$ in the addition equation.
Step 3: Solve the equation $12 + 30 = 42$. This addition gives us the solution.

Therefore, the solution to the problem is $42$.

To solve this problem, we'll follow these steps:

• Step 1: Recognize the given equation $8 + \triangle = 68$.
• Step 2: To isolate $\triangle$, subtract 8 from both sides of the equation.

Now, let's work through each step:
Step 1: We initially have the equation $8 + \triangle = 68$.
Step 2: Subtract 8 from both sides to find $\triangle$:

$\triangle = 68 - 8$

This calculation gives us:

$\triangle = 60$

Therefore, the numerical value of the triangle is $60$.

To solve this problem, we'll follow these steps:

• Step 1: Rewrite the given equation by subtracting 79 from both sides.
• Step 2: Simplify the result to isolate and determine the value of the triangle $(\triangle)$.

Now, let's work through each step:
Step 1: We start with the equation $\triangle + 79 = 80$. To isolate $\triangle$, subtract 79 from both sides:
$\triangle + 79 - 79 = 80 - 79$.

Step 2: Simplify the result:
$\triangle = 1$.

Therefore, the numerical value of the triangle is $\triangle = 1$. This corresponds with choice 3.

To solve this problem, we'll follow these steps:

• Step 1: Set up the equation.
• Step 2: Isolate the triangle symbol using subtraction.
• Step 3: Calculate the numerical value of the triangle.

Now, let's work through each step:

Step 1: Set up the equation:

We start with the equation $8 + \triangle = 30$.

Step 2: Isolate the triangle symbol:

To find $\triangle$, we subtract $8$ from both sides of the equation:

$\triangle = 30 - 8$

Step 3: Calculate the numerical value of the triangle:

Performing the subtraction gives us:

$\triangle = 22$

Therefore, the solution to the problem is $\triangle = 22$.

To solve this problem, we'll follow these steps:

• Step 1: Substitute the symbol with the given number $12$.
• Step 2: Add this number to $14$.

Now, let's work through each step:

Step 1: According to the problem, the symbol inside the yellow box equals $12$. This means wherever we see this symbol, we can replace it with $12$.
Step 2: We need to solve $12 + 14$. Let's perform this calculation:

$12 + 14 = 26$

Therefore, the correct solution to the problem is $26$.

To solve this problem, we'll use basic arithmetic involving subtraction:

• Step 1: Understand the equation $56 + \triangle = 60$.
• Step 2: To isolate $\triangle$, subtract 56 from 60.
• Step 3: Calculate $60 - 56$, which gives us the value of $\triangle$.

Now, let's work through each step:

Step 1: We recognize that we need $\triangle$ such that $56 + \triangle = 60$.

Step 2: Subtract 56 from 60: $60 - 56$.

Step 3: Perform the calculation: $60 - 56 = 4$.

Therefore, the value of the triangle $\triangle$ is $4$.