Question

1. write an expression for the quotient of x and 6 is 3. 10) given an expression, write the verbal situation: 2x≥6 11) solve the following equation - 5(2x + 8)=50 12) solve the following equation 1/4(60 + 16x)=2/3(15 + 6x) 13) solve the following equation 2x + 9 = 7x - 26 14) solve for x 360 = 2x + 2y 15) determine if the following equation has one solution, no solution, or an infinite number of solutions and justify your answer. - 2(x + 6)=- 2x - 12 circle you answer: one solution, no solution, infinite number of solutions justify your answer_

Explanation:

9)

Step1: Recall quotient meaning

The quotient of $x$ and 6 means $x$ divided by 6. So the expression is $\frac{x}{6}=3$.

10)

Step1: Interpret the expression

The expression $2x\geq6$ can be written as: "Twice a number $x$ is greater than or equal to 6".

11)

Step1: Distribute - 5

$-5(2x + 8)=-10x-40$, so the equation becomes $-10x - 40=50$.

Step2: Add 40 to both sides

$-10x=50 + 40$, so $-10x=90$.

Step3: Divide by - 10

$x=\frac{90}{-10}=-9$.

Answer:

$x=-9$

12)