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Number Sense and Operations: 1. What is the sum of 3/5 and 1/4? 2. If a number is increased by 25% and then decreased by 10%, what is the net change? 3. Express 0.75 as a fraction in simplest form. 4. Calculate the square root of 144. 5. Simplify: (2/3) = (4/5). Algebra: 6. Solve for x: 2x-5=3x+7. 7. Expand and simplify: (x+3)(2x-4). 8. If 2y+7=3, what is the value of y? 9. Write an equation for the statement: "Three times a number plus five is equal to 17." 10.Factorize: 6x^2 + 9x. Geometry: 11.Calculate the perimeter of a rectangle with length 8 cm and width 5 cm. 12.If two angles in a triangle are 45° and 75°, what is the measure of the third angle? 13.Determine the area of a circle with a radius of 6 cm. 14. Find the volume of a rectangular prism with dimensions 4 cm x 6 cm x 9 cm. 15.Given that a quadrilateral has angles measuring 110°, 70°, 100°, and 80°, is it a parallelogram? answer this muna po kailangan kona po!​

Sagot :

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Answer:

Number Sense and Operations:

  1. 3/5 + 1/4 = 0.6 + 0.25 = 0.85
  2. If a number is increased by 25% and then decreased by 10%, the net change is an increase of 12.5%.
  3. 0.75 = 3/4
  4. √144 = 12
  5. (2/3) = (4/5) is not true. Cross-multiplying gives 4 ≠ 6.

Algebra:

6. Solve 2x - 5 = 3x + 7 for x:

2x - 5 = 3x + 7

-x = 12

x = -12

7. (x + 3)(2x - 4) = 2x^2 - 2x - 6x + 12 = 2x^2 - 8x + 12

8. Solve 2y + 7 = 3 for y:

2y + 7 = 3

2y = -4

y = -2

9. 3x + 5 = 17

10. 6x^2 + 9x = 3x(2x + 3)

Geometry:

11. Perimeter of a rectangle = 2 × (length + width) = 2 × (8 + 5) = 26 cm

12. In a triangle, the sum of the angles is 180°.

180° - (45° + 75°) = 60°

13. Area of a circle = π × r^2 = π × 6^2 = 36π cm^2

14. Volume of a rectangular prism = length × width × height = 4 × 6 × 9 = 216 cm^3

15. The sum of the angles in a quadrilateral is 360°.

110° + 70° + 100° + 80° = 360°, so it is a parallelogram.