Can someone help w/ 3x – 2 = 7, 10 – 2x = 6, 0.2x + 5 = 10 (& 15 more)

[michelleabellan]

Can someone help w/ 3x – 2 = 7, 10 – 2x = 6, 0.2x + 5 = 10 (& 15 more)

Find the unknown quantity in each of these equations…

1. 3x – 2 = 7
2. 10 – 2x = 6
3. 0.2x + 5 = 10
4. x² + 3 = 19
5. x² – 8 = 28
6. 256 – x² = 31
7. x² + x = 132
8. x² – x = 132
9. x² + 2x = 120
10. 2^x – 7 = 121
11. 5^x - 120 = 505
12. 5! + x = 140
13. x! – 8 = 16
14. 2x + 1 = 4x – 9
15. 2(x + 3) = 5x - 3
16. Try to find a reasonable approximate answer for the equation x² + x = 144
17. [Numerical answers are not required in this part]

These two bracketed quantities: (x + 4)(x + 7) when multiplied together give the
quadratic expression x² + 11x + 28. Looking carefully at this, what do you think is the result of this multiplication?... (x + 5)(x + 8) ?
If a resulting product of two brackets turns out to be x² + 13x + 36 what do you think may be the two bracketed quantities?
The expression x² + 12x + 36 can be written as (x + 6)²…true or false?

 

[stapel]

Find the unknown quantity in each of these equations…

1. 3x - 2 = 7
2. 10 - 2x = 6
3. 0.2x + 5 = 10
12. 5! + x = 140
14. 2x + 1 = 4x - 9
15. 2(x + 3) = 5x - 3

To learn how to solve linear equations (which were supposed to have been covered before quadratic equations, let alone exponential or "factorial" equations), please try here.

Find the unknown quantity in each of these equations…

4. x^2 + 3 = 19
5. x^2 - 8 = 28
6. 256 - x^2 = 31

To learn how to solve quadratic equations by taking square roots, please try here

Find the unknown quantity in each of these equations…

7. x^2 + x = 132
8. x^2 - x = 132
9. x^2 + 2x = 120
16. x^2 + x = 144

To learn how to solve quadratic equations by using the Quadratic Formula, please try here

Find the unknown quantity in each of these equations…

10. 2^x - 7 = 121
11. 5^x - 120 = 505

To learn how to solve exponential equations, please try here

Find the unknown quantity in each of these equations…

13. x! - 8 = 16

To learn what factorials are, please try here. Then, once you've added the 8 over to the right-hand side, apply the definition to figure out what the value of x must be.

17. [Numerical answers are not required in this part]
These two bracketed quantities, (x + 4) and (x + 7), when multiplied together give the quadratic expression x² + 11x + 28. Looking carefully at this, what do you think is the result of this multiplication?... (x + 5)(x + 8) ?
If a resulting product of two brackets turns out to be x² + 13x + 36 what do you think may be the two bracketed quantities? The expression x² + 12x + 36 can be written as (x + 6)²…true or false?

I have no idea what they're expecting from you here, since the rest of the assignment already had you solving quadratics, which comes after learning how to factor quadratics (here), which comes after solving linear equations (which you appear not to know how to start on). :shock: