Question

1. Solve.

Answer 1

Answer:

1. $\dfrac{c}{6}-\dfrac{7}{6}$

2. m

3. 6w

4. 39x + 78

5. 75x - 153

Step-by-step explanation:

1. The product of −2c+14 and the multiplicative inverse of −12 is

$(-2c+14)\cdot \dfrac{1}{-12}$

Use distributive property:

$(-2c+14)\cdot \dfrac{1}{-12}\\ \\=-\dfrac{1}{12}\cdot (-2c)-\dfrac{1}{12}\cdot 14\\ \\=\dfrac{c}{6}-\dfrac{7}{6}$

2. Solve 10+(m−10)

Open the brackets remembering that the sign before brackets is "+":

$10+(m-10)\\ \\=10+m-10$

Combine the like terms usin commutative property:

$10+m-10\\ \\=(10-10)+m\\ \\=0+m \\ \\=m$

3. Solve 6w+3−3

Combine the like terms:

$6w+3-3\\ \\=6w+(3-3)\\ \\=6w+0\\ \\=6w$

4. Write the expression in standard form 13(3x+6).

Use distributive property:

$13(3x+6)\\ \\=13\cdot 3x+13\cdot 6\\ \\=39x+78$

5. Write the expression in standard form 15(5x−10)−3.

Use distributive property:

$15(5x-10)-3\\ \\=15\cdot 5x-15\cdot 10-3\\ \\=75x-150-3$

Combine the like terms:

$=75x+(-150-3)\\ \\=75x-(150+3)\\ \\=75x-153$