Here are the algebraic expressions for each problem on the worksheet.
Write the phrase as an expression:
1.
12 more than x: This means you add 12 to $x$.
Expression: $x + 12$
2.
x less than 36: "Less than" means you subtract the first number from the second number. So, you take 36 and subtract $x$.
Expression: $36 - x$
3.
one-third of a: "Of" usually means multiplication. One-third is $\frac{1}{3}$.
Expression: $\frac{1}{3}a$ (or $\frac{a}{3}$)
4.
17 times s: This is simple multiplication. In algebra, we write the number next to the letter.
Expression: $17s$
5.
b multiplied by 5: Multiply $b$ by 5. We usually write the number in front of the letter.
Expression: $5b$
6.
y to the fourth power: This means $y$ is the base and 4 is the exponent.
Expression: $y^4$
7.
64 plus k: Add $k$ to 64.
Expression: $64 + k$
8.
u tripled: "Tripled" means multiplied by 3.
Expression: $3u$
9.
p cubed: "Cubed" means raised to the power of 3.
Expression: $p^3$
10.
18 minus x: Subtract $x$ from 18.
Expression: $18 - x$
11.
4 less than k: Just like #2, switch the order. Start with $k$ and subtract 4.
Expression: $k - 4$
12.
z increased by 12: "Increased by" means addition.
Expression: $z + 12$
***
Write an expression to answer each question:
13.
What is the product of 82 and g?: "Product" means multiplication.
Expression: $82g$
14.
What is the difference between n and 7?: "Difference" means subtraction. Usually, this implies the first number minus the second.
Expression: $n - 7$
15.
What is the quotient of 32 and x?: "Quotient" means division. It is 32 divided by $x$.
Expression: $\frac{32}{x}$
16.
What is the sum of h and 7?: "Sum" means addition.
Expression: $h + 7$
17.
What is 31 less than c?: Switch the order. Start with $c$ and subtract 31.
Expression: $c - 31$
18.
What is the fifth power of t?: Raise $t$ to the power of 5.
Expression: $t^5$
19.
What is one-eighth of r?: Multiply $r$ by $\frac{1}{8}$.
Expression: $\frac{1}{8}r$ (or $\frac{r}{8}$)
Final Answer:
1. $x + 12$
2. $36 - x$
3. $\frac{1}{3}a$
4. $17s$
5. $5b$
6. $y^4$
7. $64 + k$
8. $3u$
9. $p^3$
10. $18 - x$
11. $k - 4$
12. $z + 12$
13. $82g$
14. $n - 7$
15. $\frac{32}{x}$
16. $h + 7$
17. $c - 31$
18. $t^5$
19. $\frac{1}{8}r$
Parent Tip: Review the logic above to help your child master the concept of writing expressions worksheet 6th grade.
