High School Math Worksheets with Answers
High school math worksheets with answers provide a valuable resource for students looking to practice and reinforce their understanding of various math concepts. These worksheets are carefully designed to cover a range of topics, ensuring that students can effectively review and apply their knowledge. With the inclusion of answer keys, students can easily check their work and identify areas where they may need further practice.
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What is the value of x in the equation 3x + 5 = 14?
To find the value of x in the equation 3x + 5 = 14, we first subtract 5 from both sides to isolate the variable: 3x = 9. Then, we divide both sides by 3 to solve for x, which gives us x = 3. Hence, the value of x in the equation is 3.
Simplify the expression: 2(3x - 5) + 4x - 2.
The simplified expression is 10x - 12.
Solve the equation for y: 2y - 7 = y + 5.
To solve the equation 2y - 7 = y + 5 for y, you would first isolate y on one side of the equation by subtracting y from both sides, which gives you y - 7 = 5. Then, add 7 to both sides to find the value of y, which is y = 12.
Find the perimeter of a rectangle with sides measuring 8 cm and 12 cm.
To find the perimeter of a rectangle, you add up the lengths of all four sides. In this case, with sides measuring 8 cm and 12 cm, the perimeter would be 2(8 cm) + 2(12 cm) = 16 cm + 24 cm = 40 cm.
Simplify the quadratic equation: x^2 - 5x + 6.
To simplify the quadratic equation x^2 - 5x + 6, we can factor it into (x - 2)(x - 3), where 2 and 3 are the roots of the equation.
Calculate the volume of a cylinder with a radius of 5 cm and height 10 cm.
The volume of a cylinder can be calculated using the formula V = ?r^2h, where r is the radius and h is the height. Substituting the values, V = ?(5)^2(10) = ?(25)(10) = 250? cm^3. Therefore, the volume of the cylinder is 250? cubic centimeters.
Determine the slope of the line passing through the points (2, 5) and (4, 9).
The slope of the line passing through the points (2, 5) and (4, 9) can be determined using the formula: slope = (y2 - y1) / (x2 - x1). Substituting the given coordinates, we get: slope = (9 - 5) / (4 - 2) = 4 / 2 = 2. Therefore, the slope of the line passing through the points (2, 5) and (4, 9) is 2.
Solve the system of equations: 2x + y = 7, 3x - 2y = 5.
By solving the system of equations using the elimination method, we can find the values of x and y. Firstly, we can multiply the first equation by 2 to make the coefficients of y in the two equations match. This gives us 4x + 2y = 14. Then we can subtract the second equation from the modified first equation to eliminate y, resulting in x = 9. Substituting x = 9 back into the first equation gives us y = -11. Therefore, the solution to the system of equations is x = 9 and y = -11.
Find the area of a triangle with a base measuring 8 cm and height 10 cm.
To find the area of a triangle, you can use the formula A = 0.5 * base * height. Substituting the given values of base as 8 cm and height as 10 cm into the formula, the area of the triangle would be 0.5 * 8 cm * 10 cm = 40 square cm. So, the area of the triangle is 40 square cm.
Determine the probability of rolling a sum of 8 on two six-sided dice.
The probability of rolling a sum of 8 on two six-sided dice is 5/36, which is obtained by calculating the number of ways to roll an 8 (5 ways: 2+6, 3+5, 4+4, 5+3, 6+2) divided by the total possible outcomes when rolling two dice (36 total combinations).
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