Math Problems 10th Grade Printable Worksheets

If you're a 10th-grade student in need of some extra practice with math problems, printable worksheets can be a valuable resource. These worksheets provide a structured way to practice different concepts and improve your understanding of mathematical principles. Whether you're studying for a test or just want to sharpen your skills, printable worksheets can be a helpful tool for students in the 10th grade.

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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.

Solve the system of equations: 2x + y = 10 and 3x - 2y = 6.

To solve the system of equations 2x + y = 10 and 3x - 2y = 6, we can start by solving for y in the first equation: y = 10 - 2x. Next, substitute this expression for y into the second equation: 3x - 2(10 - 2x) = 6. Simplifying this, we get 3x - 20 + 4x = 6, which simplifies further to 7x - 20 = 6. Adding 20 to both sides gives 7x = 26, and dividing by 7 we find x = 26/7. Finally, substitute x back into y = 10 - 2x to find y = 10 - 2(26/7), which simplifies to y = 18/7. Therefore, the solution to the system of equations is x = 26/7 and y = 18/7.

Find the area of a triangle with base 5 cm and height 8 cm.

The area of a triangle can be calculated using the formula A = 0.5 * base * height. Substituting the given values, we get A = 0.5 * 5 cm * 8 cm = 20 square cm. Therefore, the area of the triangle is 20 square cm.

Simplify the expression: (4x^3 y^2)^2.

The simplified expression is 16x^6y^4.

Solve the inequality: 2x + 5 < 15.

To solve the inequality 2x + 5 < 15, begin by subtracting 5 from both sides to isolate the x term. This will give you 2x < 10. Next, divide both sides by 2 to solve for x, which results in x < 5. Therefore, the solution to the inequality is x is less than 5.

Calculate the perimeter of a rectangle with length 12 cm and width 7 cm.

The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the rectangle has a length of 12 cm and a width of 7 cm. To find the perimeter, we add up all the sides: 12 cm + 7 cm + 12 cm + 7 cm = 38 cm. Therefore, the perimeter of the rectangle is 38 cm.

What is the solution to the quadratic equation x^2 + 5x + 6 = 0?

The solution to the quadratic equation x^2 + 5x + 6 = 0 is x = -2 and x = -3.

Find the volume of a cylinder with radius 4 cm and height 10 cm.

The volume of a cylinder is calculated using the formula V = ?r^2h, where r is the radius and h is the height. Substituting the given values (r = 4 cm, h = 10 cm) into the formula, we get V = ?(4)^2(10) = 160? cubic cm, which is approximately 502.65 cubic cm. So, the volume of the cylinder is 502.65 cubic cm.

Determine the probability of rolling an even number on a standard six-sided dice.

The probability of rolling an even number on a standard six-sided dice is 3/6 or 1/2, because there are 3 even numbers (2, 4, 6) out of the total possible outcomes (1, 2, 3, 4, 5, 6).

Evaluate the expression: log2 16.

The expression log2 16 evaluates to 4, as it represents the power to which 2 must be raised in order to get 16. So, log2 16 = 4.