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2 years ago

Which expressions have the same solution as –4(6)? Check all that apply.

Mathematics

2 answers:

geniusboy [140]2 years ago

8 0

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

-4(6) = -4 x 6 = -24

4(-6) = 4 x -6 = -24

6(-4) = 6 x -4 = -24

12(-2) = 12 x -2 = -24

AlladinOne [14]2 years ago

8 0

Answer:

–4(– 6) no

4(– 6) correct

6(– 4) correct

–8(2) no

12(– 2 correct

Step-by-step explanation:

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3 years ago

Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What

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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:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ab$

- The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

- The Subtraction property of equality states that:

$If\ a=b\ then\ a-c=b-c$

- The Multiplication property of equality states that:

$If\ a=b\ then\ a*c=b*c$

- The Division property of equality states that:

$If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}$

Given the following equation:

$4(3x-8)-4=24$

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

$(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24$

2. Combining (or adding) like terms:

$12x-36=24$

3. Addition property of equality, because she added 36 to both sides of the equation:

$12x-36+36=24+36\\\\12x=60$

4. Division property of equality, because she divided both sides of the equation by 12:

$\frac{12x}{12}=\frac{60}{12}\\\\x=5$

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