Learning Task 2: Solve The Following Equation Using The 4 Basic Rule…

Learning Task 2: Solve the following equation using the 4 basic rule in solving equation. 1. 2x+4=16 2 68 = 3y – 4 4 3n = 7*** 3.11=17 6 5y +0=1255 5. 6. x-(-27) = 35-12 2 7 5x + |-55} = 20 Le 96-4x = -28 8. 98 9 – 41+ 3x=-23-18 10. -45x-13 = 77 +90 7 Learning Task 3: Translate each problem into a mathematical equation then​

1. 2x + 4 = 16

Subtract 4 from both sides: 2x = 12

Divide both sides by 2: x = 6

The solution is x = 6.

2. 68 = 3y – 4

Add 4 to both sides: 72 = 3y

Divide both sides by 3: y = 24

The solution is y = 24.

3. 3n = 7

Divide both sides by 3: n = 7/3

The solution is n = 7/3.

4. 3.11 = 17 – 6

Simplify: 3.11 = 11

There is no solution to this equation.

5. 5y + 0 = 1255

Simplify: 5y = 1255

Divide both sides by 5: y = 251

The solution is y = 251.

6. x – (-27) = 35 – 12*2

Simplify: x + 27 = 11

Subtract 27 from both sides: x = -16

The solution is x = -16.

7. 5x + |-55| = 20

Evaluate the absolute value: 5x + 55 = 20 or 5x – 55 = 20

Solve for each equation:

5x + 55 = 20: Subtract 55 from both sides: 5x = -35. Divide by 5: x = -7.

5x – 55 = 20: Add 55 to both sides: 5x = 75. Divide by 5: x = 15.

There are two solutions: x = -7 and x = 15.

8. 98 / (9 – 4x) = 41

Multiply both sides by (9 – 4x): 98 = 41(9 – 4x)

Distribute: 98 = 369 – 164x

Subtract 369 from both sides: -271 = -164x

Divide both sides by -164: x = 1.6524 (rounded to 4 decimal places)

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The solution is x = 1.6524.

9. -41 + 3x = -23 – 18

Simplify: -41 + 3x = -41

Subtract -41 from both sides: 3x = 0

Divide both sides by 3: x = 0

The solution is x = 0.

10. -45x – 13 = 77 + 90/7

Simplify: -45x – 13 = 89.2857

Add 13 to both sides: -45x = 102.2857

Divide both sides by -45: x = -2.2857 (rounded to 4 decimal places)

The solution is x = -2.2857.