High School Math Worksheets for Practice
High school math worksheets are a valuable resource for students seeking additional practice in various math topics. These worksheets cover a wide range of concepts and are designed to reinforce understanding and improve problem-solving skills. With a selection of carefully crafted exercises, high school math worksheets serve as a reliable tool to help students strengthen their mathematical knowledge and build confidence in their abilities.
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What is the value of x in the equation 2x + 5 = 17?
The value of x in the equation 2x + 5 = 17 is 6. The solution can be found by subtracting 5 from both sides to isolate 2x, leading to 2x = 12. Then, dividing by 2 on both sides gives x = 6.
Simplify the expression 3(x + 4) - 2(2x - 5).
Simplifying the expression 3(x + 4) - 2(2x - 5) results in 3x + 12 - 4x + 10, which simplifies further to -x + 22.
Calculate the area of a triangle with a base of 8 units and a height of 6 units.
To calculate the area of a triangle, you can use the formula: Area = 0.5 * base * height. Plugging in the values given, the area of the triangle with a base of 8 units and a height of 6 units would be 0.5 * 8 * 6 = 24 square units.
Solve the inequality 2x + 3 < 7 for x.
To solve the inequality 2x + 3 < 7 for x, we first subtract 3 from both sides to isolate the variable: 2x < 4. Then, divide by 2 to find that x < 2. Therefore, the solution to the inequality is x < 2.
Find the midpoint between the points (3, 5) and (-1, 2).
To find the midpoint between two points, we average their x-coordinates and y-coordinates separately. The x-coordinate midpoint is (3+(-1))/2 = 1, and the y-coordinate midpoint is (5+2)/2 = 3.5. Therefore, the midpoint between the points (3, 5) and (-1, 2) is (1, 3.5).
Determine the perimeter of a rectangle with sides measuring 10 cm and 8 cm.
To find the perimeter of a rectangle, you add the lengths of all its sides. In this case, the rectangle has sides measuring 10 cm and 8 cm. Thus, the perimeter would be 2(10 cm) + 2(8 cm) = 20 cm + 16 cm = 36 cm. Therefore, the perimeter of the rectangle is 36 cm.
Solve the equation 4(x - 3) = 8x - 6.
To solve the equation 4(x - 3) = 8x - 6, first distribute the 4 on the left side to get 4x - 12 = 8x - 6. Next, we will isolate x by moving all terms involving x to one side of the equation and constants to the other side. Subtracting 4x from both sides results in -12 = 4x - 6. Adding 6 to both sides gives us -6 = 4x. Lastly, dividing by 4 on both sides will give x = -6/4, which simplifies to x = -3/2 or -1.5.
Find the volume of a cylinder with a radius of 4 units and a height of 10 units.
The volume of a cylinder can be calculated using the formula V = ?r^2h, where r is the radius and h is the height. In this case, the radius is 4 units and the height is 10 units. Plugging in these values, we get V = ?(4^2)(10) = 160? cubic units. Thus, the volume of the cylinder is 160? cubic units.
Determine the slope of the line passing through the points (2, 4) and (6, 10).
The slope of the line passing through the points (2, 4) and (6, 10) can be calculated using the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the values, we get: slope = (10 - 4) / (6 - 2) = 6 / 4 = 3/2. Therefore, the slope of the line passing through the given points is 3/2.
Simplify the expression ?25 - 3^(2+1).
The expression ?25 - 3^(2+1) simplifies to 5 - 3^3, which further simplifies to 5 - 27, resulting in a final answer of -22.
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