Translate the following to algebraic expressions 1. The sum of number x and 15 2. 8 less than m 3. Twice the sum of y and 10 4. The product of r and 7 decreased by 5 5. five times the square of s
[tex] \color{aqua}{➙} [/tex] Since the phrase says "the sum", the mathematical operation will be Addition. X is used to represent a variable. The number fifteen, will remain the same. Therefore, the algebraic expression is x + 15.
X = a variable (number x)
+ = the operation symbol (sum, known as the answer to an addition equation)
15 = whole number
[tex] __________ [/tex]
2. 8 - m
[tex] \color{aqua}{➙} [/tex] "Less than" is Subtraction. Meaning, this is represented by minus. Therefore, the expression is 8 - m.
8 = whole number
- = operation symbol (less than, subtraction)
m = a variable
[tex] __________ [/tex]
3. 2 (y + 10)
[tex] \color{aqua}{➙} [/tex] Twice is the number two. Add parentheses to separate the equation. Then, inside the parentheses, the operation is Addition. Thus, the answer is 2 (y + 10).
2 = twice (meaning, multiply the given number or equation two times)
+ = the sum (the operation inside the parenthesis)
y = a variable
10 = whole number
[tex] __________ [/tex]
4. 7r - 5
[tex] \color{aqua}{➙} [/tex] Whenever you encounter a variable together with a whole number, the operation is automatically multiplication. Decreased is Subtraction. So, the expression is 7r - 5.
7r = the product of r and 7
- = decreased by
5 = whole number
[tex] __________ [/tex]
5. 5 × s²
[tex] \color{aqua}{➙} [/tex] Square of s is represented by s². Most students often read s² as s to the second power, which is one of the ways to read it. Well, in algebraic expression, it is read as square of s. Therefore, the answer is 5 × s².
Answers & Comments
Translate the following to algebraic expressions.
1. The sum of number x and 15
2. 8 less than m
3. Twice the sum of y and 10
4. The product of r and 7 decreased by 5
5. Five times the square of s
[tex] \\ [/tex]
[tex] \huge \rm \color{lime}{ANSWERS:}[/tex]
1. x + 15
[tex] \color{aqua}{➙} [/tex] Since the phrase says "the sum", the mathematical operation will be Addition. X is used to represent a variable. The number fifteen, will remain the same. Therefore, the algebraic expression is x + 15.
[tex] __________ [/tex]
2. 8 - m
[tex] \color{aqua}{➙} [/tex] "Less than" is Subtraction. Meaning, this is represented by minus. Therefore, the expression is 8 - m.
[tex] __________ [/tex]
3. 2 (y + 10)
[tex] \color{aqua}{➙} [/tex] Twice is the number two. Add parentheses to separate the equation. Then, inside the parentheses, the operation is Addition. Thus, the answer is 2 (y + 10).
[tex] __________ [/tex]
4. 7r - 5
[tex] \color{aqua}{➙} [/tex] Whenever you encounter a variable together with a whole number, the operation is automatically multiplication. Decreased is Subtraction. So, the expression is 7r - 5.
[tex] __________ [/tex]
5. 5 × s²
[tex] \color{aqua}{➙} [/tex] Square of s is represented by s². Most students often read s² as s to the second power, which is one of the ways to read it. Well, in algebraic expression, it is read as square of s. Therefore, the answer is 5 × s².
[tex] \\ [/tex]
I hope my answer helps!
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