(Pre-Algebra) Solving Two-Step equations
1. 7 x 8 = 21 (1 point)
2. -6q + 5.8 = 23.8 (1 point)
3. Which equation matches the statement "The product of 3 and the difference of a number and 10 is 15?"
UwU you're wrong, actually it's-
1. A
2. B
3. C
4. B
5. D
it had 5 questions right? 100% correct!
tysm always right! <33 it was 100% correct :))
uhh I got a 0/5 cause I thought UwU's answer was correct :/
To solve a two-step equation, follow these steps:
Step 1: Isolate the variable term on one side of the equation.
Step 2: Perform the inverse operation on both sides of the equation.
Step 3: Simplify and solve for the variable.
Now let's solve the given equations step by step:
1. 7x8 = 21:
To isolate the variable term, divide both sides of the equation by 7:
(7x8)/7 = 21/7
Simplifying gives us:
8 = 3
So, the equation is not true (8 is not equal to 3). Therefore, there is no solution to this equation.
2. -6q + 5.8 = 23.8:
To isolate the variable term, subtract 5.8 from both sides of the equation:
-6q + 5.8 - 5.8 = 23.8 - 5.8
Simplifying gives us:
-6q = 18
To solve for q, divide both sides of the equation by -6:
(-6q)/-6 = 18/-6
Simplifying gives us:
q = -3
Therefore, the solution to the equation is q = -3.
3. The product of 3 and the difference of a number and 10 is 15:
Let's represent the unknown number as x.
The difference of a number and 10: (x - 10).
The product of 3 and the difference: 3(x - 10).
Now, we can set up the equation: 3(x - 10) = 15.
To solve it, we need to distribute 3 across (x - 10):
3x - 30 = 15
To isolate the variable term, add 30 to both sides of the equation:
3x - 30 + 30 = 15 + 30
Simplifying gives us:
3x = 45
Finally, to solve for x, divide both sides of the equation by 3:
(3x)/3 = 45/3
Simplifying gives us:
x = 15
Therefore, the equation that matches the statement is 3(x - 10) = 15, and the solution is x = 15.
3(x - 10) = 15
I think it's..
1. B
2. D
3. A