7 Grade Math Problems Worksheets

Are you searching for engaging and educational resources to help your 7th-grade students expand their math skills? Look no further! Our collection of 7th grade math problems worksheets is designed to challenge and engage students with a variety of mathematical concepts. From solving equations to working with fractions, these worksheets provide ample practice for students to strengthen their problem-solving abilities and build a solid foundation in mathematics.

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What is the value of x in the equation 2x + 5 = 15?

The value of x in the equation 2x + 5 = 15 is x = 5.

How do you simplify the expression 4x + 7 - 2x + 3?

To simplify the expression 4x + 7 - 2x + 3, you first combine like terms by adding or subtracting the coefficients of the same variables. In this case, 4x - 2x simplifies to 2x, and 7 + 3 simplifies to 10. Therefore, the simplified expression is 2x + 10.

If a triangle has angles measuring 45° and 90°, what is the measure of the third angle?

The sum of the interior angles in a triangle is always 180°, so if one angle measures 45° and another angle measures 90°, the third angle in the triangle would be 180° - 45° - 90° = 45°.

How do you multiply two fractions, such as 3/4 * 2/5?

To multiply two fractions, you simply multiply the numerators together to get the new numerator and the denominators together to get the new denominator. For 3/4 * 2/5, you would do 3 * 2 = 6 for the numerator and 4 * 5 = 20 for the denominator, resulting in the answer 6/20 which can be simplified to 3/10 by dividing both the numerator and denominator by the greatest common factor which is 2 in this case.

What is the perimeter of a rectangle with a length of 8 units and a width of 5 units?

The perimeter of a rectangle can be calculated by adding up all four sides. In this case, with a length of 8 units and a width of 5 units, the perimeter would be 2(8) + 2(5) = 16 + 10 = 26 units. Therefore, the perimeter of the rectangle is 26 units.

If a box of cereal costs $3.50 and there is a 10% sales tax, what is the total cost?

The total cost of the box of cereal with a 10% sales tax would be $3.50 + ($3.50 * 0.10) = $3.50 + $0.35 = $3.85.

How do you find the area of a circle with a radius of 5 units?

To find the area of a circle with a radius of 5 units, you can use the formula for the area of a circle, which is A = ?r². Substituting the radius, which is 5 units, into the formula gives A = ?(5)² = 25? square units.

If a bookshelf has 4 shelves, and each shelf can hold 10 books, how many books can the bookshelf hold in total?

A bookshelf with 4 shelves, each capable of holding 10 books, can hold a total of 40 books.

How do you calculate the mean of a set of numbers, such as 4, 6, 7, 8, and 10?

To calculate the mean of a set of numbers, such as 4, 6, 7, 8, and 10, add all the numbers together (4 + 6 + 7 + 8 + 10 = 35) and then divide the sum by the total number of values in the set (which is 5 in this case). So, mean = 35 / 5 = 7. Therefore, the mean of the set is 7.

If you roll two dice, what is the probability of getting a sum of 7?

The probability of getting a sum of 7 when rolling two dice is 6/36 or 1/6, because there are a total of 36 possible outcomes when rolling two dice (6 sides on each die), and there are six possible ways to get a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).