8 Grade Pre- Algebra Worksheets
If you're an 8th grade student needing extra practice in pre-algebra, you'll find a wealth of helpful resources in the form of worksheets. These worksheets are designed to provide targeted practice on a variety of pre-algebra topics, helping you strengthen your understanding and proficiency in the subject.
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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 x = 6.
Simplify the expression: 3(4 + 2) - 5.
To simplify the expression 3(4 + 2) - 5, first perform the operation inside the parentheses, which gives 3(6) - 5. Then, multiply 3 by 6 to get 18. Finally, subtract 5 from 18 to get the final simplified result: 18 - 5 = 13.
Solve the equation: 5x - 8 = 12 + 2x.
To solve the equation 5x - 8 = 12 + 2x, first, simplify the equation by moving all the x terms to one side. Subtract 2x from both sides to get 3x - 8 = 12. Then, add 8 to both sides to isolate the x term, resulting in 3x = 20. Lastly, divide by 3 on both sides to find that x = 20/3 or x = 6.67.
Find the perimeter of a rectangle with length 6 cm and width 4 cm.
To find the perimeter of a rectangle, you can use the formula P = 2*(length + width). Given the length is 6 cm and the width is 4 cm, the perimeter P = 2*(6 + 4) = 2*(10) = 20 cm. Therefore, the perimeter of the rectangle is 20 cm.
Simplify the expression: 2(x - 3) + 4(x + 2).
To simplify the expression 2(x - 3) + 4(x + 2), first distribute the coefficients: 2 times x gives 2x, 2 times -3 gives -6, 4 times x gives 4x, and 4 times 2 gives 8. Combining like terms, we get 2x - 6 + 4x + 8, which simplifies to 6x + 2.
Solve the equation: 3(x - 2) = 12.
To solve the equation 3(x - 2) = 12, first distribute the 3 to both terms inside the parentheses: 3x - 6 = 12. Then, add 6 to both sides to isolate the variable: 3x = 18. Finally, divide by 3 on both sides to solve for x: x = 6. Therefore, the solution to the equation is x = 6.
Find the area of a triangle with base 8 cm and height 5 cm.
The area of a triangle is calculated by multiplying the base by the height and dividing by 2. In this case, with a base of 8 cm and a height of 5 cm, the area would be (8 x 5) / 2 = 20 square centimeters.
Simplify the expression: 2x^2 - 3x + 6x - 9.
The simplified expression is 2x^2 + 3x - 9.
Solve the inequality: 2x + 3 < 11.
To solve the inequality 2x + 3 < 11, first subtract 3 from both sides to isolate the variable: 2x < 8. Then, divide by 2 on both sides to find the value of x: x < 4. Thus, the solution to the inequality is x is less than 4.
Find the volume of a cube with side length 4 cm.
To find the volume of a cube, you simply cube the length of one of its sides. So, for a cube with a side length of 4 cm, the volume would be 4 cm x 4 cm x 4 cm = 64 cubic centimeters.
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