Expressions and Equations 6th Grade - Free Printable

Let's solve each problem step by step:

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1) What is the value of the expression \( 3a \) when \( a = 7 \)?

- Substitute \( a = 7 \) into the expression \( 3a \):
\[
3a = 3 \times 7 = 21
\]
- Answer: \( \boxed{21} \)

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2) Solve the equation \( 5b = 35 \).

- To solve for \( b \), divide both sides of the equation by 5:
\[
b = \frac{35}{5} = 7
\]
- Answer: \( \boxed{7} \)

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3) Write the expression that matches the statement: "5 more than \( c \)".

- "5 more than \( c \)" means adding 5 to \( c \):
\[
c + 5
\]
- Answer: \( \boxed{c + 5} \)

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4) What is the value of the expression \( 2d - 3 \) when \( d = 11 \)?

- Substitute \( d = 11 \) into the expression \( 2d - 3 \):
\[
2d - 3 = 2(11) - 3 = 22 - 3 = 19
\]
- Answer: \( \boxed{19} \)

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5) Solve the equation \( e - 12 = 19 \).

- To solve for \( e \), add 12 to both sides of the equation:
\[
e = 19 + 12 = 31
\]
- Answer: \( \boxed{31} \)

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6) Write the expression that matches the statement: "multiply \( f \) by 3".

- "Multiply \( f \) by 3" means \( f \times 3 \):
\[
3f
\]
- Answer: \( \boxed{3f} \)

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7) What is the value of the expression \( \frac{1}{2}g \) when \( g = 28 \)?

- Substitute \( g = 28 \) into the expression \( \frac{1}{2}g \):
\[
\frac{1}{2}g = \frac{1}{2} \times 28 = 14
\]
- Answer: \( \boxed{14} \)

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8) Solve the equation \( h \div 3 = 12 \).

- To solve for \( h \), multiply both sides of the equation by 3:
\[
h = 12 \times 3 = 36
\]
- Answer: \( \boxed{36} \)

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9) Write the expression that matches the statement: "subtract 8 from \( i \)".

- "Subtract 8 from \( i \)" means \( i - 8 \):
\[
i - 8
\]
- Answer: \( \boxed{i - 8} \)

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10) What is the value of the expression \( 100 - j \) when \( j = 76 \)?

- Substitute \( j = 76 \) into the expression \( 100 - j \):
\[
100 - j = 100 - 76 = 24
\]
- Answer: \( \boxed{24} \)

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11) Solve the equation \( 4k = 120 \).

- To solve for \( k \), divide both sides of the equation by 4:
\[
k = \frac{120}{4} = 30
\]
- Answer: \( \boxed{30} \)

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12) Write the expression that matches the statement: "divide \( l \) by 3".

- "Divide \( l \) by 3" means \( \frac{l}{3} \):
\[
\frac{l}{3}
\]
- Answer: \( \boxed{\frac{l}{3}} \)

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13) What is the value of the expression \( 2m + 3 \) when \( m = 4 \)?

- Substitute \( m = 4 \) into the expression \( 2m + 3 \):
\[
2m + 3 = 2(4) + 3 = 8 + 3 = 11
\]
- Answer: \( \boxed{11} \)

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14) Solve the equation \( 20 - n = 3 \).

- To solve for \( n \), subtract 3 from 20:
\[
n = 20 - 3 = 17
\]
- Answer: \( \boxed{17} \)

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15) Write the expression that matches the statement: "double \( o \) and then add 1".

- "Double \( o \)" means \( 2o \), and then adding 1 gives:
\[
2o + 1
\]
- Answer: \( \boxed{2o + 1} \)

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16) What is the value of the expression \( 3p - 5 \) when \( p = 6 \)?

- Substitute \( p = 6 \) into the expression \( 3p - 5 \):
\[
3p - 5 = 3(6) - 5 = 18 - 5 = 13
\]
- Answer: \( \boxed{13} \)

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17) Solve the equation \( \frac{1}{2}q = 10 \).

- To solve for \( q \), multiply both sides of the equation by 2:
\[
q = 10 \times 2 = 20
\]
- Answer: \( \boxed{20} \)

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18) Write the expression that matches the statement: "subtract \( r \) from 15".

- "Subtract \( r \) from 15" means \( 15 - r \):
\[
15 - r
\]
- Answer: \( \boxed{15 - r} \)

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Final Answers:

\[
\boxed{
\begin{array}{l}
1) \, 21 \\
2) \, 7 \\
3) \, c + 5 \\
4) \, 19 \\
5) \, 31 \\
6) \, 3f \\
7) \, 14 \\
8) \, 36 \\
9) \, i - 8 \\
10) \, 24 \\
11) \, 30 \\
12) \, \frac{l}{3} \\
13) \, 11 \\
14) \, 17 \\
15) \, 2o + 1 \\
16) \, 13 \\
17) \, 20 \\
18) \, 15 - r \\
\end{array}
}
\]