Match the meaning of each of the following expressions:

1. [tex]x[/tex] added to the sum of five and seven
[tex]\square\ x+(5+7)[/tex]

2. the sum of eight and two, subtracted from [tex]x[/tex]
[tex]\square\ x-(8+2)[/tex]

3. eight added to [tex]x[/tex]
[tex]\square\ x+8[/tex]

4. eight subtracted from [tex]x[/tex]
[tex]\square\ x-8[/tex]

5. eight minus [tex]x[/tex]
[tex]\square\ 8-x[/tex]

6. five subtracted from [tex]n[/tex]
[tex]\square\ n-5[/tex]

7. the sum of [tex]x[/tex] and itself
[tex]\square\ x+x[/tex]

8. the difference of eight and two, added to [tex]x[/tex]
[tex]\square\ x+(8-2)[/tex]

9. the sum of [tex]n[/tex] and five
[tex]\square\ n+5[/tex]

10. five minus [tex]n[/tex]
[tex]\square\ 5-n[/tex]



Answer :

Let's match each meaning to its corresponding expression step-by-step.

1. [tex]$x$[/tex] added to the sum of five and seven:
Expression: [tex]\( x + (5 + 7) \)[/tex]
- This represents adding [tex]$x$[/tex] to the sum [tex]$5 + 7$[/tex]. The correct match is: [tex]\( x+(5+7) \)[/tex].

2. The sum of eight and two, subtracted from [tex]$x$[/tex]:
Expression: [tex]\( x - (8 + 2) \)[/tex]
- This represents subtracting the sum [tex]$8 + 2$[/tex] from [tex]$x$[/tex]. The correct match is: [tex]\( x-(8+2) \)[/tex].

3. Eight added to [tex]$x$[/tex]:
Expression: [tex]\( x + 8 \)[/tex]
- This represents adding 8 to [tex]$x$[/tex]. The correct match is: [tex]\( x+8 \)[/tex].

4. Eight subtracted from [tex]$x$[/tex]:
Expression: [tex]\( x - 8 \)[/tex]
- This represents subtracting 8 from [tex]$x$[/tex]. The correct match is: [tex]\( x-8 \)[/tex].

5. Eight minus [tex]$x$[/tex]:
Expression: [tex]\( 8 - x \)[/tex]
- This represents subtracting [tex]$x$[/tex] from 8. The correct match is: [tex]\( 8-x \)[/tex].

6. Five subtracted from [tex]$n$[/tex]:
Expression: [tex]\( n - 5 \)[/tex]
- This represents subtracting 5 from [tex]$n$[/tex]. The correct match is: [tex]\( n-5 \)[/tex].

7. The sum of [tex]$x$[/tex] and itself:
Expression: [tex]\( x + x \)[/tex]
- This represents adding [tex]$x$[/tex] to itself. The correct match is: [tex]\( x+x \)[/tex].

8. The difference of eight and two, added to [tex]$x$[/tex]:
Expression: [tex]\( x + (8 - 2) \)[/tex]
- This represents adding the difference of 8 and 2 to [tex]$x$[/tex]. The correct match is: [tex]\( x+(8-2) \)[/tex].

9. The sum of [tex]$n$[/tex] and five:
Expression: [tex]\( n + 5 \)[/tex]
- This represents adding 5 to [tex]$n$[/tex]. The correct match is: [tex]\( n+5 \)[/tex].

10. Five minus [tex]$n$[/tex]:
Expression: [tex]\( 5 - n \)[/tex]
- This represents subtracting [tex]$n$[/tex] from 5. The correct match is: [tex]\( 5-n \)[/tex].

Final matching:

| Meaning | Expression |
| --- | --- |
| 1. [tex]$x$[/tex] added to the sum of five and seven | [tex]$x+(5+7)$[/tex] |
| 2. the sum of eight and two, subtracted from [tex]$x$[/tex] | [tex]$x-(8+2)$[/tex] |
| 3. eight added to [tex]$x$[/tex] | [tex]$x+8$[/tex] |
| 4. eight subtracted from [tex]$x$[/tex] | [tex]$x-8$[/tex] |
| 5. eight minus [tex]$x$[/tex] | [tex]$8-x$[/tex] |
| 6. five subtracted from [tex]$n$[/tex] | [tex]$n-5$[/tex] |
| 7. the sum of [tex]$x$[/tex] and itself | [tex]$x+x$[/tex] |
| 8. the difference of eight and two, added to [tex]$x$[/tex] | [tex]$x+(8-2)$[/tex] |
| 9. the sum of [tex]$n$[/tex] and five | [tex]$n+5$[/tex] |
| 10. five minus [tex]$n$[/tex] | [tex]$5-n$[/tex] |

Other Questions