Math Worksheet Number 3

Worksheets are a valuable educational tool that can greatly enhance learning experiences for students of all ages. Designed to focus on a specific subject or topic, these structured exercises help reinforce concepts and allow individuals to practice essential skills. Whether you are a teacher seeking engaging resources for your classroom or a parent looking to support your child's learning at home, worksheets provide a structured and effective way to reinforce and assess understanding of various academic disciplines.

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What is the value of the expression 5 + 9?

The value of the expression 5 + 9 is 14.

Solve the equation x - 3 = 8 for x.

To solve the equation x - 3 = 8 for x, you need to isolate the variable x on one side of the equation. Adding 3 to both sides of the equation, we get x = 11. Therefore, the solution to the equation x - 3 = 8 is x = 11.

Calculate the area of a rectangle with length 6 cm and width 4 cm.

To calculate the area of a rectangle, you multiply the length by the width. In this case, the length is 6 cm and the width is 4 cm. So, the area of the rectangle would be 6 cm x 4 cm = 24 square cm.

Simplify the expression (2x + 7) - (3x - 5).

To simplify the expression (2x + 7) - (3x - 5), you first distribute the negative sign inside the parentheses, which changes the signs of the terms within the second set of parentheses. This becomes 2x + 7 - 3x + 5. Then, you can combine like terms, which gives you -x + 12 as the simplified expression.

Find the value of 2/3 + 5/6.

To find the sum of 2/3 and 5/6, we first need to find a common denominator, which is 6. We then convert 2/3 to 4/6 and add it to 5/6 to get 9/6. Simplifying 9/6 gives us 3/2 or 1.5. So, the value of 2/3 + 5/6 is 1.5.

Solve the equation 2(x - 4) = 10 for x.

To solve the equation 2(x - 4) = 10 for x, start by distributing the 2 across the terms in the parentheses to get 2x - 8 = 10. Then, isolate the variable x by adding 8 to both sides of the equation to get 2x = 18. Finally, divide both sides by 2 to solve for x, giving you the final answer x = 9.

Calculate the circumference of a circle with radius 2.5 cm.

The formula to calculate the circumference of a circle is C = 2?r, where r is the radius of the circle. Substituting the radius, which is 2.5 cm, into the formula, we get C = 2 * ? * 2.5 = 5? ? 15.71 cm. Therefore, the circumference of a circle with a radius of 2.5 cm is approximately 15.71 cm.

Simplify the expression 3(x + 4) - 2(2x - 1).

To simplify the expression 3(x + 4) - 2(2x - 1), first distribute the factors inside the parentheses: 3x + 12 - 4x + 2. Then combine like terms: -x + 14. Therefore, the simplified expression is -x + 14.

Find the value of (4 + 2) × (3 - 1).

The value of (4 + 2) × (3 - 1) is 6 × 2, which equals 12.

Solve the equation 2x + 5 = 17 for x.

To solve the equation 2x + 5 = 17 for x, you first subtract 5 from both sides to isolate the term with x, which gives you 2x = 12. Then, divide both sides by 2 to solve for x, which yields x = 6.