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Solve and complete the following expressions to find their values:

1. [tex]\( p + 5 \)[/tex] when [tex]\( p = -3 \)[/tex]
2. [tex]\( q - 6 \)[/tex] when [tex]\( q = 4 \)[/tex]
3. [tex]\( 6h \)[/tex] when [tex]\( h = -3 \)[/tex]
4. [tex]\( \frac{j}{4} \)[/tex] when [tex]\( j = -20 \)[/tex]
5. [tex]\( a + b \)[/tex] when [tex]\( a = 6 \)[/tex] and [tex]\( b = -3 \)[/tex]
6. [tex]\( c - d \)[/tex] when [tex]\( c = 25 \)[/tex] and [tex]\( d = 32 \)[/tex]

Calculate each:

[tex]\[
\begin{array}{l}
1. \quad p + 5 = -3 + 5 = \square \\
2. \quad q - 6 = 4 - 6 = \square \\
3. \quad 6h = 6 \times -3 = \square \\
4. \quad \frac{j}{4} = \frac{-20}{4} = \square \\
5. \quad a + b = 6 + (-3) = \square \\
6. \quad c - d = 25 - 32 = \square
\end{array}
\][/tex]

Fill in the value for each expression.



Answer :

GinnyAnswer
Let's go through each calculation step-by-step to find the value of each expression.

1. Evaluate [tex]\( p + 5 \)[/tex] when [tex]\( p = -3 \)[/tex]:
[tex]\[ p + 5 = -3 + 5 = 2 \][/tex]

2. Evaluate [tex]\( q - 6 \)[/tex] when [tex]\( q = 4 \)[/tex]:
[tex]\[ q - 6 = 4 - 6 = -2 \][/tex]

3. Evaluate [tex]\( 6h \)[/tex] when [tex]\( h = -3 \)[/tex]:
[tex]\[ 6h = 6 \times (-3) = -18 \][/tex]

4. Evaluate [tex]\( \frac{j}{4} \)[/tex] when [tex]\( j = -20 \)[/tex]:
[tex]\[ \frac{j}{4} = \frac{-20}{4} = -5 \][/tex]

5. Evaluate [tex]\( a + b \)[/tex] when [tex]\( a = 6 \)[/tex] and [tex]\( b = -3 \)[/tex]:
[tex]\[ a + b = 6 + (-3) = 3 \][/tex]

6. Evaluate [tex]\( c - d \)[/tex] when [tex]\( c = 25 \)[/tex] and [tex]\( d = 32 \)[/tex]:
[tex]\[ c - d = 25 - 32 = -7 \][/tex]

Putting all the results together:
[tex]\[ \begin{array}{l} p + 5 = -3 + 5 = 2 \\ q - 6 = 4 - 6 = -2 \\ 6h = 6 \times (-3) = -18 \\ \frac{j}{4} = \frac{-20}{4} = -5 \\ a + b = 6 + (-3) = 3 \\ c - d = 25 - 32 = -7 \\ \end{array} \][/tex]

So the values of each expression are [tex]\(2\)[/tex], [tex]\(-2\)[/tex], [tex]\(-18\)[/tex], [tex]\(-5\)[/tex], [tex]\(3\)[/tex], and [tex]\(-7\)[/tex] respectively.

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