16. Which of the following is a linear equation?
a. 2x + 3 = 5
b. -2x² + 7 = -4
c. 11x - 3
d. 5xy²
17. Which of the following is a linear inequality?
a. -3x² + 7 ≥ -4
b. 12x - 3 (x + 1)
c. 5x > -10
d. 2x + 3 = -5
18. What is the solution to the equation: 7 (x + 3) = 4 (x - 6)
a. 15
b. -15
c. all real numbers
d. no solution
19. Solve 3(5x + 4) -20 = 13x - 4
a. 2
b. 8
c. -2
d. 4
20. Solve - 8 + 22 = 13x - 5 - 12x
a. 9
b. 25
c. -9
d. 19
patulong po ulit thank you <33​


Sagot :

Answer:

16.A

17.C

18.B

19.A

20.D

Step-by-step explanation:

YAN NA PO

Linear equation and inequality

16. A

17. C

18. B

19. A

20. D

SOLUTION:

16.) A linear equation: 2x + 3 = 5

2x + 3 = 5

2x + 3 - 3 = 5 - 3

2x = 2

2x/2 = 2/2

x = 1 ✔️

====================================

17.) A linear inequality: 5x > - 10

5x > - 10

5x/5 > - 10/5

x > - 2 ✔️

====================================

18.) What is the solution to the equation:

7 (x + 3) = 4 (x - 6) ?

(7)(x) + (7)(3) = (4)(x) + (4)(-6)

7x + 21 = 4x + - 24

7x + 21 = 4x - 24

7x + 21 - 4x = 4x - 24 - 4x

3x + 21 = - 24

3x = - 45

3x/3 = - 45/3

x = -15

- 15 ✔️

====================================

19.) Solve 3 (5x + 4) - 20 = 13x - 4

(3)(5x) + (3)(4) + - 20 = 13x + - 4

15x + 12 + - 20 = 13x + - 4

(15x) + (12 + - 20) = 13x - 4

15x + - 8 = 13x - 4

15x - 8 = 13x - 4

15x - 8 - 13x = 13x - 4 - 13x

2x - 8 = - 4

2x - 8 + 8 = - 4 + 8

2x = 4

2x/2 = 4/2

x = 2 ✔️

=====================================

20.) Solve -8 + 22 = 13x - 5 - 12x

- 8 + 22 = 13x + - 5 + - 12x

(-8 + 22) = (13x + - 12x) + (-5)

14 = x + - 5

14 = x - 5

x - 5 = 14

x - 5 + 5 = 14 + 5

x = 19 ✔️

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