Math Worksheet Number 14

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What is the value of x in the equation 2x + 3 = 9?

The value of x in the equation 2x + 3 = 9 is x = 3.

Simplify the expression: 5(2x - 3) + 4x.

Simplified expression is: 10x - 15 + 4x = 14x - 15.

Solve the inequality: 2x + 5 < 13.

To solve the inequality 2x + 5 < 13, first subtract 5 from both sides to get 2x < 8. Then, divide by 2 on both sides to get x < 4. Therefore, the solution to the inequality is x < 4.

Evaluate the expression: (4^2) - (3^3).

The expression (4^2) - (3^3) evaluates to 16 - 27, which simplifies to -11.

Find the area of a rectangle with length 5 cm and width 7 cm.

The area of a rectangle is calculated by multiplying its length by its width. In this case, the length is 5 cm and the width is 7 cm, so the area of the rectangle is 5 cm x 7 cm = 35 square cm.

Solve the equation: 3(x + 2) = x - 4.

To solve the equation 3(x + 2) = x - 4, first distribute the 3 on the left side to get 3x + 6 = x - 4. Next, isolate the x variable by subtracting x from both sides to get 2x + 6 = -4. Then, subtract 6 from both sides to get 2x = -10. Finally, divide by 2 to solve for x which gives x = -5. Thus, the solution to the equation is x = -5.

Simplify the expression: ?25 + ?16.

The expression simplifies to 5 + 4, which equals 9.

Find the perimeter of a triangle with sides measuring 8 cm, 5 cm, and 6 cm.

The perimeter of the triangle with sides measuring 8 cm, 5 cm, and 6 cm is 19 cm.

Solve the proportion: 3/5 = x/15.

To solve the proportion 3/5 = x/15, you cross multiply; therefore, 3 * 15 = 5 * x, which simplifies to 45 = 5x. Next, divide both sides by 5 to isolate x, resulting in x = 9. So, the value of x in the proportion is 9.

Calculate the circumference of a circle with a radius of 6 cm.

The circumference of a circle can be calculated using the formula: circumference = 2 * ? * radius. Substituting the given radius of 6 cm into the formula, we get: circumference = 2 * ? * 6 = 12? cm, which is approximately 37.7 cm.