Problem: Writing Algebraic Expressions
The task is to write algebraic expressions for each situation described in the worksheet. Below, I will solve each problem step by step and provide the corresponding algebraic expression.
---
1. Eleven decreased by k
-
Description: "Eleven decreased by k" means we start with 11 and subtract \( k \).
-
Expression: \( 11 - k \)
---
2. p increased by 9
-
Description: "p increased by 9" means we add 9 to \( p \).
-
Expression: \( p + 9 \)
---
3. Sixteen multiplied by a number h
-
Description: "Sixteen multiplied by a number \( h \)" means we multiply 16 by \( h \).
-
Expression: \( 16h \)
---
4. f less than twelve
-
Description: "f less than twelve" means \( f \) is subtracted from 12.
-
Expression: \( 12 - f \)
---
5. Sixteen less than m
-
Description: "Sixteen less than \( m \)" means 16 is subtracted from \( m \).
-
Expression: \( m - 16 \)
---
6. 8 divided by e
-
Description: "8 divided by \( e \)" means we divide 8 by \( e \).
-
Expression: \( \frac{8}{e} \)
---
7. The product of 6 and c
-
Description: "The product of 6 and \( c \)" means we multiply 6 by \( c \).
-
Expression: \( 6c \)
---
8. Eighty-five less than x
-
Description: "Eighty-five less than \( x \)" means 85 is subtracted from \( x \).
-
Expression: \( x - 85 \)
---
9. Nine more than m
-
Description: "Nine more than \( m \)" means we add 9 to \( m \).
-
Expression: \( m + 9 \)
---
10. Three-fourths of f
-
Description: "Three-fourths of \( f \)" means we multiply \( f \) by \( \frac{3}{4} \).
-
Expression: \( \frac{3}{4}f \)
---
11. y diminished by 9
-
Description: "y diminished by 9" means we subtract 9 from \( y \).
-
Expression: \( y - 9 \)
---
12. The sum of 5 and k
-
Description: "The sum of 5 and \( k \)" means we add 5 to \( k \).
-
Expression: \( 5 + k \)
---
13. g less than 8
-
Description: "g less than 8" means \( g \) is subtracted from 8.
-
Expression: \( 8 - g \)
---
14. The quotient of b and 3
-
Description: "The quotient of \( b \) and 3" means we divide \( b \) by 3.
-
Expression: \( \frac{b}{3} \)
---
15. Thrice a number p
-
Description: "Thrice a number \( p \)" means we multiply \( p \) by 3.
-
Expression: \( 3p \)
---
Final Answer:
Here are all the algebraic expressions:
1. \( 11 - k \)
2. \( p + 9 \)
3. \( 16h \)
4. \( 12 - f \)
5. \( m - 16 \)
6. \( \frac{8}{e} \)
7. \( 6c \)
8. \( x - 85 \)
9. \( m + 9 \)
10. \( \frac{3}{4}f \)
11. \( y - 9 \)
12. \( 5 + k \)
13. \( 8 - g \)
14. \( \frac{b}{3} \)
15. \( 3p \)
\boxed{
\begin{aligned}
1. & \ 11 - k \\
2. & \ p + 9 \\
3. & \ 16h \\
4. & \ 12 - f \\
5. & \ m - 16 \\
6. & \ \frac{8}{e} \\
7. & \ 6c \\
8. & \ x - 85 \\
9. & \ m + 9 \\
10. & \ \frac{3}{4}f \\
11. & \ y - 9 \\
12. & \ 5 + k \\
13. & \ 8 - g \\
14. & \ \frac{b}{3} \\
15. & \ 3p
\end{aligned}
}
Parent Tip: Review the logic above to help your child master the concept of basic algebra worksheet pdf.
