Answer:
1. Distributive property.
2. Combining like terms.
3. Addition property of equality.
4. Division property of equality.
Step-by-step explanation:
- The Distributive property states that:
[tex]a(b+c)=ab+ac\\\\a(b-c)=ab-ab[/tex]
- The Addition property of equality states that:
[tex]If\ a=b\ then\ a+c=b+c[/tex]
- The Subtraction property of equality states that:
[tex]If\ a=b\ then\ a-c=b-c[/tex]
- The Multiplication property of equality states that:
[tex]If\ a=b\ then\ a*c=b*c[/tex]
- The Division property of equality states that:
[tex]If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}[/tex]
Given the following equation:
[tex]4(3x-8)-4=24[/tex]
We can identify that the methods Maria used to solve it and the order, are:
1. Distributive property:
[tex](4)(3x)-(4)(8)-4=24\\\\12x-32-4=24[/tex]
2. Combining (or adding) like terms:
[tex]12x-36=24[/tex]
3. Addition property of equality, because she added 36 to both sides of the equation:
[tex]12x-36+36=24+36\\\\12x=60[/tex]
4. Division property of equality, because she divided both sides of the equation by 12:
[tex]\frac{12x}{12}=\frac{60}{12}\\\\x=5[/tex]
