Middle School Math Worksheets with Answer Key
Are you a middle school math teacher searching for effective learning tools? Look no further! We have a wide range of middle school math worksheets with answer keys, designed to help your students grasp the most important concepts and gain confidence in their problem-solving skills. These worksheets cover various topics, from algebra to geometry, ensuring your students have the necessary practice and reinforcement they need to succeed.
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What is the answer to the equation 3x + 8 = 20?
The solution to the equation 3x + 8 = 20 is x = 4.
Simplify the expression: 5(2x - 3) + 4(x + 7).
To simplify the expression 5(2x - 3) + 4(x + 7), first distribute 5 and 4: 10x - 15 + 4x + 28. Combining like terms gives us: 14x + 13. Therefore, the simplified expression is 14x + 13.
Calculate the perimeter of a rectangle with a length of 12 inches and a width of 8 inches.
To calculate the perimeter of a rectangle, you add up the lengths of all its sides. In this case, since a rectangle has two pairs of equal sides, with a length of 12 inches and a width of 8 inches, the perimeter would be 2*12 + 2*8 = 24 + 16 = 40 inches.
Find the area of a triangle with a base of 6 cm and a height of 4 cm.
The area of a triangle is calculated by the formula: Area = 0.5 * base * height. Plugging in the values, we get Area = 0.5 * 6 cm * 4 cm = 12 square cm. Therefore, the area of the triangle is 12 square cm.
Solve the equation 2/3x - 5 = 1/2x + 2 for x.
To solve the equation 2/3x - 5 = 1/2x + 2 for x, we can first simplify by getting rid of the fractions. Multiplying the entire equation by 6 to eliminate the fractions, we get: 4x - 30 = 3x + 12. Then, isolate x by moving all terms involving x to one side and constants to the other side. Substracting 3x from both sides gives x - 30 = 12. Finally, adding 30 to both sides leads to x = 42.
Simplify the expression: (4 + 2)(3 - 5) + 6 ÷ 2.
To simplify the expression (4 + 2)(3 - 5) + 6 ÷ 2, we need to first perform the operations inside the parentheses, which results in (6)(-2) + 6 ÷ 2. Then, multiply 6 by -2 to get -12, and divide 6 by 2 to get 3. Finally, add -12 and 3 to attain the simplified answer of -9.
Calculate the volume of a rectangular prism with dimensions 4 cm, 6 cm, and 10 cm.
The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the volume would be 4 cm x 6 cm x 10 cm = 240 cubic centimeters.
Find the circumference of a circle with a radius of 8 inches.
The circumference of a circle with a radius of 8 inches is 50.24 inches.
Calculate the average of the numbers 5, 8, 12, and 15.
The average of the numbers 5, 8, 12, and 15 is 10.
Solve the proportion 3/4 = x/16 for x.
To solve the proportion 3/4 = x/16 for x, we need to cross multiply. This means multiplying 3 by 16 on one side and 4 by x on the other side. So, 3 * 16 = 4 * x, which simplifies to 48 = 4x. Next, we divide both sides by 4 to solve for x. Therefore, x = 12.
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