Junior High School Math Worksheets

Looking to enhance your junior high schooler's math skills? Look no further than our collection of carefully crafted junior high school math worksheets. These worksheets are designed to engage and challenge your child while reinforcing key mathematical concepts. With a wide variety of topics and levels of difficulty, our worksheets provide an effective learning tool for students in junior high school.

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What is the value of 'x' in the equation 3x + 5 = 17?

The value of 'x' in the equation 3x + 5 = 17 is 4.

Solve the equation 2(3x - 4) + 6 = 18.

To solve the equation 2(3x - 4) + 6 = 18, first distribute the 2 to the terms inside the parentheses: 6x - 8 + 6 = 18. Combine like terms to simplify: 6x - 2 = 18. Next, add 2 to both sides: 6x = 20. Finally, divide by 6 to solve for x: x = 20/6 = 10/3 or approximately x = 3.33.

Simplify the expression 4x + 7x - 3x.

The simplified expression is 8x. This is because when we combine like terms (4x + 7x - 3x), we add the coefficients of the x terms together to get 8x.

Evaluate the following expression: (2 + 3) × (4 - 1).

To evaluate the expression, we first simplify the operations within the parentheses. (2 + 3) equals 5, and (4 - 1) equals 3. Then we multiply 5 by 3, giving us: 5 x 3 = 15. Therefore, the value of the expression (2 + 3) × (4 - 1) is 15.

Find the perimeter of a rectangle with length 8 and width 5.

The perimeter of a rectangle is calculated by adding the lengths of all its sides, so for a rectangle with a length of 8 and a width of 5, the perimeter would be 2*(length + width), which is 2*(8+5) = 2*(13) = 26. Therefore, the perimeter of the given rectangle is 26 units.

Calculate the area of a triangle with base 6 and height 9.

The area of a triangle is calculated using the formula: Area = 0.5 * base * height. Plugging in the values of base as 6 and height as 9 into the formula gives: Area = 0.5 * 6 * 9 = 27 square units. Hence, the area of the triangle with a base of 6 and height of 9 is 27 square units.

Solve the equation 2/3x = 8/9.

To solve the equation 2/3x = 8/9, first multiply both sides by 3 to eliminate the fraction on the left side. This gives you 2x = 8/3. Now, divide both sides by 2 to isolate x. So, x = (8/3) / 2 which simplifies to x = 4/3. Therefore, the solution to the equation is x = 4/3.

Simplify the fraction 16/24 to its simplest form.

To simplify the fraction 16/24 to its simplest form, we divide the numerator and denominator by their greatest common divisor, which is 8. So, 16 divided by 8 is 2 and 24 divided by 8 is 3. Therefore, the simplest form of the fraction 16/24 is 2/3.

Convert the decimal 0.75 into a fraction in simplest form.

To convert the decimal 0.75 into a fraction in simplest form, you can write it as 75/100, since 0.75 is the same as 75/100. Then, simplify the fraction by dividing both the numerator and denominator by the greatest common divisor, which is 25. Therefore, the simplified fraction of 0.75 is 3/4.

Convert the fraction 5/6 into a percentage.

To convert the fraction 5/6 into a percentage, you can divide 5 by 6, which equals 0.8333. Then, multiply by 100 to get the percentage, which is approximately 83.33%.