1.-2X-2 +7(x+1)=2x
2. 9x-1=-5+8x
3.7x-3=
4. when 4 times a number is subtracted from 7 times the number, the result is 30. What is the number?
5. when 4 times a number is added to 7 times the number, the result is 33. What is the number?
6. When 20% of a number is added to the number, the result is 60
2. 9x-1=-5+8x
x = 6
3. No equation
4.
7x - 4z = 30
5.
4x + 7x = 33
6.
0.2x + x = 60
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2. 9x-1=-5+8x
x = 4
4.
7x - 4x = 30
When 4 times a number is subtracted from 7 times the number, the result is 30. Find the number.
1. To solve this equation, we need to simplify both sides of the equation and then isolate the variable, x.
-2x - 2 + 7(x + 1) = 2x
First, distribute 7 to both terms inside the parentheses:
-2x - 2 + 7x + 7 = 2x
Combine like terms:
5x + 5 = 2x
Next, subtract 2x from both sides to isolate the variable:
5x - 2x + 5 = 2x - 2x
Simplifying further:
3x + 5 = 0
Now, subtract 5 from both sides:
3x + 5 - 5 = 0 - 5
Simplifying further:
3x = -5
Finally, divide both sides by 3 to solve for x:
3x/3 = -5/3
Simplifying further:
x = -5/3
So the solution for x is x = -5/3.
2. To solve this equation, we will isolate the variable, x.
9x - 1 = -5 + 8x
First, subtract 8x from both sides:
9x - 8x - 1 = -5 + 8x - 8x
Simplifying further:
x - 1 = -5
Next, add 1 to both sides to isolate the variable:
x - 1 + 1 = -5 + 1
Simplifying further:
x = -4
So the solution for x is x = -4.
3. The equation 7x - 3 has no equal sign or other terms on the right side. It is already in its simplest form.
So, the expression 7x - 3 remains as it is.
4. To solve this word problem, we need to translate it into an equation and then solve for the unknown number.
Let's let the number be represented by x.
The word problem states that when 4 times a number is subtracted from 7 times the number, the result is 30.
In equation form, it can be written as:
7x - 4x = 30
Combine like terms:
3x = 30
Finally, divide both sides by 3 to solve for x:
3x/3 = 30/3
Simplifying further:
x = 10
So the number is x = 10.
5. Similar to the previous word problem, we need to translate it into an equation and solve for the unknown number.
Let's again let the number be represented by x.
The word problem states that when 4 times a number is added to 7 times the number, the result is 33.
In equation form, it can be written as:
4x + 7x = 33
Combine like terms:
11x = 33
Finally, divide both sides by 11 to solve for x:
11x/11 = 33/11
Simplifying further:
x = 3
So the number is x = 3.
6. To solve this word problem, we need to translate it into an equation and solve for the unknown number.
Let's let the number be represented by x.
The word problem states that when 20% of a number is added to the number, the result is 60.
In equation form, it can be written as:
x + 0.2x = 60
First, simplify the left side:
1.2x = 60
Finally, divide both sides by 1.2 to solve for x:
(1.2x)/1.2 = 60/1.2
Simplifying further:
x = 50
So the number is x = 50.