The problem asks to evaluate various algebraic expressions given specific values for the variables. We need to substitute the values of the variables ($h$, $x$, $b$, $m$, $g$) into the expressions and simplify.

1. Problem Description

The problem asks to evaluate various algebraic expressions given specific values for the variables. We need to substitute the values of the variables ($h$, $x$, $b$, $m$, $g$) into the expressions and simplify.

2. Solution Steps

Problem 1: $4(h+2)$ where $h=3$

Substitute $h=3$ into the expression: $4(3+2)$.

Simplify: $4(5) = 20$.

Problem 2: $\frac{18}{h} + h$ where $h=3$

Substitute $h=3$ into the expression: $\frac{18}{3} + 3$.

Simplify: $6 + 3 = 9$.

Problem 3: $h(5+2)$ where $h=3$

Substitute $h=3$ into the expression: $3(5+2)$.

Simplify: $3(7) = 21$.

Problem 4: $9h - 11$ where $h=3$

Substitute $h=3$ into the expression: $9(3) - 11$.

Simplify: $27 - 11 = 16$.

Problem 5: $\frac{8h}{12}$ where $h=3$

Substitute $h=3$ into the expression: $\frac{8(3)}{12}$.

Simplify: $\frac{24}{12} = 2$.

Problem 6: $\frac{h^2 + 5}{2}$ where $h=3$

Substitute $h=3$ into the expression: $\frac{3^2 + 5}{2}$.

Simplify: $\frac{9+5}{2} = \frac{14}{2} = 7$.

Problem 7: $4(2h-3)$ where $h=3$

Substitute $h=3$ into the expression: $4(2(3)-3)$.

Simplify: $4(6-3) = 4(3) = 12$.

Problem 8: $5h(6-4)$ where $h=3$

Substitute $h=3$ into the expression: $5(3)(6-4)$.

Simplify: $15(2) = 30$.

Problem 9: $x(b-1)$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $5(9-1)$.

Simplify: $5(8) = 40$.

Problem 10: $\frac{5b}{x}$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $\frac{5(9)}{5}$.

Simplify: $\frac{45}{5} = 9$.

Problem 11: $\frac{b+x^2}{2}$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $\frac{9+5^2}{2}$.

Simplify: $\frac{9+25}{2} = \frac{34}{2} = 17$.

Problem 12: $b(2+x)$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $9(2+5)$.

Simplify: $9(7) = 63$.

Problem 13: $7(b-x)$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $7(9-5)$.

Simplify: $7(4) = 28$.

Problem 14: $\frac{10x+4}{b}$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $\frac{10(5)+4}{9}$.

Simplify: $\frac{50+4}{9} = \frac{54}{9} = 6$.

Problem 15: $\frac{b}{3} + x$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $\frac{9}{3} + 5$.

Simplify: $3 + 5 = 8$.

Problem 16: $\frac{5x+b}{2}$ where $x=5$ and $b=9$

Substitute $x=5$ and $b=9$ into the expression: $\frac{5(5)+9}{2}$.

Simplify: $\frac{25+9}{2} = \frac{34}{2} = 17$.

Problem 17: $\frac{m}{g} + 9$ where $m=16$ and $g=4$

Substitute $m=16$ and $g=4$ into the expression: $\frac{16}{4} + 9$.

Simplify: $4 + 9 = 13$.

Problem 18: $g(m-9) + 5$ where $m=16$ and $g=4$

Substitute $m=16$ and $g=4$ into the expression: $4(16-9) + 5$.

Simplify: $4(7) + 5 = 28 + 5 = 33$.

Problem 19: $\frac{m}{2} + 3g$ where $m=16$ and $g=4$

Substitute $m=16$ and $g=4$ into the expression: $\frac{16}{2} + 3(4)$.

Simplify: $8 + 12 = 20$.

Problem 20: $\frac{6g-m}{2}$ where $m=16$ and $g=4$

Substitute $m=16$ and $g=4$ into the expression: $\frac{6(4)-16}{2}$.

Simplify: $\frac{24-16}{2} = \frac{8}{2} = 4$.

3. Final Answer

1. 20

2. 9

3. 21

4. 16

5. 2

6. 7

7. 12

8. 30

9. 40

1

0. 9

1

1. 17

1

2. 63

1

3. 28

1

4. 6

1

5. 8

1

6. 17

1

7. 13

1

8. 33

1

9. 20

2

0. 4