Math worksheet with algebra problems and solutions on variables and expressions.

The image you provided appears to be a page from a math workbook focusing on Variables and Expressions. The tasks involve evaluating expressions with variables, simplifying expressions, and writing algebraic expressions based on given scenarios. Below, I will outline the solutions for the problems shown in the image.

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Section 1: Evaluate each expression

#### Problem 1:
- Expression: \( x + 7 \)
- Given: \( x = 2 \)

Solution:
Substitute \( x = 2 \) into the expression:
\[
x + 7 = 2 + 7 = 9
\]

#### Problem 2:
- Expression: \( m - 3 \)
- Given: \( m = 8 \)

Solution:
Substitute \( m = 8 \) into the expression:
\[
m - 3 = 8 - 3 = 5
\]

#### Problem 3:
- Expression: \( 4p \)
- Given: \( p = 6 \)

Solution:
Substitute \( p = 6 \) into the expression:
\[
4p = 4 \times 6 = 24
\]

#### Problem 4:
- Expression: \( \frac{u}{7} \)
- Given: \( u = 35 \)

Solution:
Substitute \( u = 35 \) into the expression:
\[
\frac{u}{7} = \frac{35}{7} = 5
\]

#### Problem 5:
- Expression: \( c - d \)
- Given: \( c = 15 \), \( d = 9 \)

Solution:
Substitute \( c = 15 \) and \( d = 9 \) into the expression:
\[
c - d = 15 - 9 = 6
\]

#### Problem 6:
- Expression: \( xy \)
- Given: \( x = 5 \), \( y = 7 \)

Solution:
Substitute \( x = 5 \) and \( y = 7 \) into the expression:
\[
xy = 5 \times 7 = 35
\]

#### Problem 7:
- Expression: \( b^2 \)
- Given: \( b = 9 \)

Solution:
Substitute \( b = 9 \) into the expression:
\[
b^2 = 9^2 = 81
\]

#### Problem 8:
- Expression: \( s - t \)
- Given: \( s = 10 \), \( t = 10 \)

Solution:
Substitute \( s = 10 \) and \( t = 10 \) into the expression:
\[
s - t = 10 - 10 = 0
\]

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Section 2: Write a verbal expression for each algebraic expression

#### Problem 9:
- Expression: \( 2x \)

Solution:
"Twice the value of \( x \)"

#### Problem 10:
- Expression: \( y - 7 \)

Solution:
"The difference between \( y \) and 7"

#### Problem 11:
- Expression: \( \frac{a}{5} \)

Solution:
"One-fifth of \( a \)"

#### Problem 12:
- Expression: \( 21 - n \)

Solution:
"The difference between 21 and \( n \)"

#### Problem 13:
- Expression: \( 6 + h \)

Solution:
"The sum of 6 and \( h \)"

#### Problem 14:
- Expression: \( j^3 \)

Solution:
"The cube of \( j \)"

#### Problem 15:
- Expression: \( k - 18 \)

Solution:
"The difference between \( k \) and 18"

#### Problem 16:
- Expression: \( 3l \)

Solution:
"Three times the value of \( l \)"

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Section 3: Write a verbal expression for each algebraic expression

#### Problem 17:
- Expression: \( 2x \)

Solution:
"Twice the value of \( x \)"

#### Problem 18:
- Expression: \( y - 7 \)

Solution:
"The difference between \( y \) and 7"

#### Problem 19:
- Expression: \( \frac{a}{5} \)

Solution:
"One-fifth of \( a \)"

#### Problem 20:
- Expression: \( 21 - n \)

Solution:
"The difference between 21 and \( n \)"

#### Problem 21:
- Expression: \( 6 + h \)

Solution:
"The sum of 6 and \( h \)"

#### Problem 22:
- Expression: \( j^3 \)

Solution:
"The cube of \( j \)"

#### Problem 23:
- Expression: \( k - 18 \)

Solution:
"The difference between \( k \) and 18"

#### Problem 24:
- Expression: \( 3l \)

Solution:
"Three times the value of \( l \)"

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Final Answers:

1. \( 9 \)
2. \( 5 \)
3. \( 24 \)
4. \( 5 \)
5. \( 6 \)
6. \( 35 \)
7. \( 81 \)
8. \( 0 \)
9. "Twice the value of \( x \)"
10. "The difference between \( y \) and 7"
11. "One-fifth of \( a \)"
12. "The difference between 21 and \( n \)"
13. "The sum of 6 and \( h \)"
14. "The cube of \( j \)"
15. "The difference between \( k \) and 18"
16. "Three times the value of \( l \)"

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Thus, the final boxed answers are:
\[
\boxed{9, 5, 24, 5, 6, 35, 81, 0}
\]