Expressions and Equations 6th Grade - Free Printable

To solve the problem, we need to evaluate each expression given the corresponding value of the variable. Let's go through each one step by step.

Expression 1: \( a / 4 \)

- Expression: \( a / 4 \)
- When: \( a = 20 \)
- Value:
\[
\frac{a}{4} = \frac{20}{4} = 5
\]

Expression 2: \( b + 2.5 \)

- Expression: \( b + 2.5 \)
- When: \( b = 8.5 \)
- Value:
\[
b + 2.5 = 8.5 + 2.5 = 11
\]

Expression 3: \( 1 - c \)

- Expression: \( 1 - c \)
- When: \( c = 0.24 \)
- Value:
\[
1 - c = 1 - 0.24 = 0.76
\]

Expression 4: \( 0.5d \)

- Expression: \( 0.5d \)
- When: \( d = 14 \)
- Value:
\[
0.5d = 0.5 \times 14 = 7
\]

Expression 5: \( e - 1.6 \)

- Expression: \( e - 1.6 \)
- When: \( e = 4 \)
- Value:
\[
e - 1.6 = 4 - 1.6 = 2.4
\]

Expression 6: \( \frac{1}{5}f \)

- Expression: \( \frac{1}{5}f \)
- When: \( f = 35 \)
- Value:
\[
\frac{1}{5}f = \frac{1}{5} \times 35 = 7
\]

Expression 7: \( g^2 \)

- Expression: \( g^2 \)
- When: \( g = 7 \)
- Value:
\[
g^2 = 7^2 = 49
\]

Expression 8: \( 3.5 - h \)

- Expression: \( 3.5 - h \)
- When: \( h = 0.9 \)
- Value:
\[
3.5 - h = 3.5 - 0.9 = 2.6
\]

Expression 9: \( 32 / i \)

- Expression: \( 32 / i \)
- When: \( i = 4 \)
- Value:
\[
\frac{32}{i} = \frac{32}{4} = 8
\]

Expression 10: \( 2j + 3 \)

- Expression: \( 2j + 3 \)
- When: \( j = 16 \)
- Value:
\[
2j + 3 = 2 \times 16 + 3 = 32 + 3 = 35
\]

Expression 11: \( 3k - 1 \)

- Expression: \( 3k - 1 \)
- When: \( k = 3 \)
- Value:
\[
3k - 1 = 3 \times 3 - 1 = 9 - 1 = 8
\]

Expression 12: \( 2l + 7 \)

- Expression: \( 2l + 7 \)
- When: \( l = 13 \)
- Value:
\[
2l + 7 = 2 \times 13 + 7 = 26 + 7 = 33
\]

Expression 13: \( 2m - 5 \)

- Expression: \( 2m - 5 \)
- When: \( m = 6 \)
- Value:
\[
2m - 5 = 2 \times 6 - 5 = 12 - 5 = 7
\]

Expression 14: \( 12 - 2n \)

- Expression: \( 12 - 2n \)
- When: \( n = 4 \)
- Value:
\[
12 - 2n = 12 - 2 \times 4 = 12 - 8 = 4
\]

Expression 15: \( 2(o + 1) \)

- Expression: \( 2(o + 1) \)
- When: \( o = 8 \)
- Value:
\[
2(o + 1) = 2(8 + 1) = 2 \times 9 = 18
\]

Expression 16: \( 3(p - 2) \)

- Expression: \( 3(p - 2) \)
- When: \( p = 5 \)
- Value:
\[
3(p - 2) = 3(5 - 2) = 3 \times 3 = 9
\]

Expression 17: \( \frac{1}{2}q - 4 \)

- Expression: \( \frac{1}{2}q - 4 \)
- When: \( q = 20 \)
- Value:
\[
\frac{1}{2}q - 4 = \frac{1}{2} \times 20 - 4 = 10 - 4 = 6
\]

Expression 18: \( \frac{1}{2}(r + 3) \)

- Expression: \( \frac{1}{2}(r + 3) \)
- When: \( r = 7 \)
- Value:
\[
\frac{1}{2}(r + 3) = \frac{1}{2}(7 + 3) = \frac{1}{2} \times 10 = 5
\]

Expression 19: \( \frac{s + 2}{3} \)

- Expression: \( \frac{s + 2}{3} \)
- When: \( s = 10 \)
- Value:
\[
\frac{s + 2}{3} = \frac{10 + 2}{3} = \frac{12}{3} = 4
\]

Expression 20: \( t^2 + 3 \)

- Expression: \( t^2 + 3 \)
- When: \( t = 4 \)
- Value:
\[
t^2 + 3 = 4^2 + 3 = 16 + 3 = 19
\]

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{EXPRESSION} & \text{WHEN} & \text{VALUE} \\
\hline
a / 4 & a = 20 & 5 \\
b + 2.5 & b = 8.5 & 11 \\
1 - c & c = 0.24 & 0.76 \\
0.5d & d = 14 & 7 \\
e - 1.6 & e = 4 & 2.4 \\
\frac{1}{5}f & f = 35 & 7 \\
g^2 & g = 7 & 49 \\
3.5 - h & h = 0.9 & 2.6 \\
32 / i & i = 4 & 8 \\
2j + 3 & j = 16 & 35 \\
3k - 1 & k = 3 & 8 \\
2l + 7 & l = 13 & 33 \\
2m - 5 & m = 6 & 7 \\
12 - 2n & n = 4 & 4 \\
2(o + 1) & o = 8 & 18 \\
3(p - 2) & p = 5 & 9 \\
\frac{1}{2}q - 4 & q = 20 & 6 \\
\frac{1}{2}(r + 3) & r = 7 & 5 \\
\frac{s + 2}{3} & s = 10 & 4 \\
t^2 + 3 & t = 4 & 19 \\
\hline
\end{array}
}
\]