QUESTION 1
The given equation is
Clear the decimal by multiplying through by 10 to get,
Expand the bracket using the distributive property to get;
Group similar terms to get,
Divide through by 50 to get,
QUESTION 2
We want to solve the inequality,
We expand the bracket using the distributive property to obtain,
Group similar terms to get,
Simplify to get,
We divide both sides of the inequality by -8 and reverse the sign to obtain,
QUESTION 3
Step 1.
Given:4(-6x – 3)+24x= -72x + 132
Step 2.
Distributive property:
-24x – 12 + 24x = -72x + 132
Step 3.
Combine like terms:
–12 = -72x + 132
Step 4.
Addition property of equality:
-144 = -72x
Step 5.
Division property of equality:
2=x
All the properties stated are correct.
The given equation is
Clear the decimal by multiplying through by 10 to get,
Expand the bracket using the distributive property to get;
Group similar terms to get,
Divide through by 50 to get,
QUESTION 2
We want to solve the inequality,
We expand the bracket using the distributive property to obtain,
Group similar terms to get,
Simplify to get,
We divide both sides of the inequality by -8 and reverse the sign to obtain,
QUESTION 3
Step 1.
Given:4(-6x – 3)+24x= -72x + 132
Step 2.
Distributive property:
-24x – 12 + 24x = -72x + 132
Step 3.
Combine like terms:
–12 = -72x + 132
Step 4.
Addition property of equality:
-144 = -72x
Step 5.
Division property of equality:
2=x
All the properties stated are correct.