I need help writing algebraic expressions into equations
1) the product of a number and 7 is 63
2) 10 subtracted from a number is 15
3) two-fifths of a number is -12
4) 8% of a number is 20
5) the sum of twice a number and 17 is -1
6) nine less than the product of a number and -4 is 35
7) seven more than the quotient of a number and 3 equals 11
8) the difference between half a number and 11 is -25
Sure! I can help you with that. Here are the equations for each of the given algebraic expressions:
1) Let's represent the number as "x". The product of a number and 7 can be written as 7x. So, the equation becomes:
7x = 63
2) Let's represent the number as "x". Ten subtracted from a number can be written as x - 10. So, the equation becomes:
x - 10 = 15
3) Let's represent the number as "x". Two-fifths of a number can be written as (2/5)x. So, the equation becomes:
(2/5)x = -12
4) Let's represent the number as "x". 8% of a number can be written as (8/100)x or (0.08)x. So, the equation becomes:
(0.08)x = 20
5) Let's represent the number as "x". The sum of twice a number and 17 can be written as 2x + 17. So, the equation becomes:
2x + 17 = -1
6) Let's represent the number as "x". Nine less than the product of a number and -4 can be written as -4x - 9. So, the equation becomes:
-4x - 9 = 35
7) Let's represent the number as "x". Seven more than the quotient of a number and 3 can be written as (x/3) + 7. So, the equation becomes:
(x/3) + 7 = 11
8) Let's represent the number as "x". The difference between half a number and 11 can be written as (1/2)x - 11. So, the equation becomes:
(1/2)x - 11 = -25
I hope that helps! Let me know if you have any further questions.
Sure! I can help you write algebraic expressions into equations. Let's take each example one by one:
1) The product of a number and 7 is 63:
To write this as an equation, let's assign a variable, let's say "x," to the unknown number. The product of a number and 7 can be written as 7x. So, the equation would be 7x = 63.
2) Ten subtracted from a number is 15:
Let's use the variable "x" for the unknown number. "Ten subtracted from a number" can be written as x - 10. So, the equation would be x - 10 = 15.
3) Two-fifths of a number is -12:
Using the variable "x" for the unknown number, "two-fifths of a number" can be expressed as (2/5)x. Therefore, the equation becomes (2/5)x = -12.
4) Eight percent of a number is 20:
Let's use the variable "x" for the unknown number. "Eight percent of a number" can be written as 0.08x. So, the equation becomes 0.08x = 20.
5) The sum of twice a number and 17 is -1:
Using the variable "x" for the unknown number, "twice a number" is 2x. So, the equation becomes 2x + 17 = -1.
6) Nine less than the product of a number and -4 is 35:
Using the variable "x" for the unknown number, "the product of a number and -4" is -4x. So, the equation becomes -4x - 9 = 35.
7) Seven more than the quotient of a number and 3 equals 11:
Let's use the variable "x" for the unknown number. "The quotient of a number and 3" can be written as x/3. So, the equation becomes x/3 + 7 = 11.
8) The difference between half a number and 11 is -25:
Using the variable "x" for the unknown number, "half a number" is 0.5x. So, the equation becomes 0.5x - 11 = -25.
Remember, once you have the equation, you can solve for the unknown variable by performing algebraic operations on both sides of the equation to isolate the variable "x".
"of" means multiply
"product of a and b" means a*b
and so on. So,
#5, 2x+17 = -1
Review the topic,
Try the others, and we will check your answers.