Question

Translate to an equation.
Thirteen less than six times a number is equal to 11 more than four times the number. What is the number?

Answer 1

6x-13=11*4x

Answer 2

it would be good to be able to do this

13 less than

means -13+

Answer 3

six times a number
means 6x

if we use "x" to stand for "a number"

Answer 4

Thirteen less than six times a number
becomes
-13 + 6x
or, switching the order (when you add, you can swap the order)
6x-13

Answer 5

is equal to
is written as =

Answer 6

so how is it supposed to look when i put it all together because i got13-6*a=11+4*a

Answer 7

is that correct?

Answer 8

so far, we have
Thirteen less than six times a number is equal to

6x-13=

Answer 9

it's ok to use "a" instead of "x"

but think about this question:

1 less than 3?

the answer is (I hope it is obvious) is 2.
to get 2 we do 3 - 1 or -1 + 3

I translate 3 less than x as -3 + x (or x-3)

and 3 more than x as 3+x (or x+3)

Answer 10

ok

Answer 11

11 more than four times the number

11 + 4x

so all together we have
6x-13= 4x=11

Answer 12

so their is two = signs?

Answer 13

no, that was a typo
6x-13= 4x+11

Answer 14

i typed it in on my hw online and it says its wrong!

Answer 15

The words translate into that equation. You should practice that translation.

The next step is to use algebra to solve for x. that is a different skill

Answer 16

The question is
What is the number?

we are not done yet. can you solve for x? in
6x-13= 4x+11

I would add -4x to both sides
and then add 13 to both sides

Answer 17

6x=11 right?

Answer 18

let's start with the equation (which you get from translating the words to an equation)
6x-13= 4x+11
add -4x to both sides
6x - 4x - 13 = 4x - 4x + 11

on the right side of the = sign, you have 4x - 4x. that is 0
6x -4x - 13 = 0 + 11

on the right side 0+11 is 11

6x -4x - 13 = 11

on the left side you have 6 x's take away 4 x's. How many x's do you have ?

Answer 19

1

Answer 20

if you don't like x's, how about spoons? 6 spoons take away 4 spoons. How many spoons do you have ?

Answer 21

2

Answer 22

it works the same for x's. 6x's take away 4 x's is 2 x's
we write that 6x - 4x = 2x

that means
6x -4x - 13 = 11
simplifies to
2x -13 = 11

Answer 23

now add +13 to both sides of
2x -13 = 11

Answer 24

2x=24

Answer 25

x=12 right?

Answer 26

exactly

Answer 27

If we use 12 as the number in
Thirteen less than six times 12
is equal to
11 more than four times 12

it should work out.