9th Grade Math Worksheets with Answers
If you're a 9th grader looking for math worksheets that provide both practice and answers, you've come to the right place. In this blog post, we'll explore a variety of worksheets designed specifically for students at your grade level, covering topics from algebra to geometry. These worksheets will not only help you strengthen your understanding of key mathematical concepts, but they also come with answer keys to ensure that you can check your work and track your progress.
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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 x = 4.
Calculate the area of a rectangle with a length of 8 units and a width of 5 units.
To calculate the area of a rectangle, you multiply the length by the width. In this case, the length is 8 units and the width is 5 units. Therefore, the area of the rectangle is 8 units x 5 units = 40 square units.
Solve the equation 4x - 7 = 3x + 2.
To solve the equation 4x - 7 = 3x + 2, we need to isolate the variable x. Subtract 3x from both sides of the equation to get x by itself on one side. This simplifies to x - 7 = 2. Next, add 7 to both sides to solve for x, which gives us x = 9. Therefore, the solution to the equation is x = 9.
Find the volume of a cube with side length 6 units.
To find the volume of a cube with side length 6 units, you can use the formula for volume of a cube, which is side length cubed. Therefore, the volume of a cube with side length 6 units would be 6^3 = 216 cubic units.
Simplify the expression: 2(3x - 4) + 5x.
To simplify the expression 2(3x - 4) + 5x, first distribute the 2 to both terms inside the parentheses, which gives 6x - 8. Then combine like terms by adding 5x to 6x to get 11x. Therefore, the simplified expression is 11x - 8.
Calculate the perimeter of a triangle with side lengths of 5, 7, and 8 units.
To calculate the perimeter of a triangle with side lengths of 5, 7, and 8 units, simply add all three side lengths together: 5 + 7 + 8 = 20 units. Therefore, the perimeter of the triangle is 20 units.
Solve the equation 3(x + 2) = 15.
To solve the equation 3(x + 2) = 15, first distribute the 3 to both terms in the parenthesis: 3x + 6 = 15. Then, subtract 6 from both sides to isolate the variable: 3x = 9. Finally, divide by 3 on both sides to solve for x: x = 3. Therefore, the solution to the equation 3(x + 2) = 15 is x = 3.
Find the slope of the line passing through the points (2, 5) and (4, 9).
To find the slope of the line passing through the points (2, 5) and (4, 9), we use the formula for slope: (y2 - y1) / (x2 - x1). Substituting the coordinates, we get (9 - 5) / (4 - 2) = 4 / 2 = 2. Therefore, the slope of the line passing through the given points is 2.
Calculate the surface area of a cylinder with radius 4 units and height 10 units.
To calculate the surface area of a cylinder, we need to sum the lateral surface area and the two circular bases. The lateral surface area of a cylinder is given by 2 x ? x r x h, where r is the radius and h is the height. Substituting the values, we get 2 x ? x 4 x 10 = 80? square units. The area of each circular base is ? x r^2, so the total area of both bases is 2 x ? x 4^2 = 32? square units. Adding the lateral surface area and the area of the bases gives us the total surface area of the cylinder, which is 80? + 32? = 112? square units.
Simplify the expression: 3x - 2(x + 4) - 7.
Simplifying the expression 3x - 2(x + 4) - 7, we first distribute the -2 into the parentheses to get 3x - 2x - 8 - 7. Combining like terms, we have x - 15 as the simplified expression.
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