MATHEMATICS
MIDDLE SCHOOL

Answer: Hey Tierra7l,

Lets solve your equation together step by step.

Hope this helps,

AnthrαX

Lets solve your equation together step by step.

Hope this helps,

AnthrαX

HIGH SCHOOL

20 POINTS PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Solve the equation. Check for extraneous solutions.

9∣9-8x∣ = 2x+3

Answer:

39/37 and 6/5

Step-by-step explanation:

To start, let's assume that 9-8x is positive (we will do this to get rid of the absolute value, but then check later). We get 9(9 - 8x) = 2x + 3, or 81 - 72x = 2x + 3, so 74x = 78 and x = 39/37. If we assume 9-8x is negative, the |9-8x| will turn into 8x-9, so we get 9(8x - 9) = 2x + 3, or 72x - 81 = 2x + 3 , so 70x = 84 and x = 6/5. If we plug the values back in, 9-8(39/37) needs to be positive, which works, and 9-8(6/5) needs to be negative, and this works, so the answers are 39/37 and 6/5.

MIDDLE SCHOOL

What is another way to name 1/4

.25 or you could say one quarter

One quarter, .25 , 25%

MIDDLE SCHOOL

2 furlongs in 10 minutes , 1 mile in

2 furlongs is .250 of a mile, which is one quarter. If one quarter takes 10 minutes, four quarters will take 40 minutes.

2 furlongs in 10 minutes , 1 mile in 40 minutes.

2 furlongs in 10 minutes , 1 mile in 40 minutes.

MIDDLE SCHOOL

Three times a number is the same as the difference of twice the number and seven. Find the number.

To solve this verbal equation, first we need to convert it into an written equation using integers and variables.

3n=2n-7

N is the variable for "the number".

We are trying to get the variable on one side of the equation to solve it.

So, we need to subtract 2n from both sides, which results in the equation

n= -7

"The number" is -7.

3n=2n-7

N is the variable for "the number".

We are trying to get the variable on one side of the equation to solve it.

So, we need to subtract 2n from both sides, which results in the equation

n= -7

"The number" is -7.