8th Grade Pre-Algebra Math Worksheets

Are you in search of high-quality 8th grade pre-algebra math worksheets that offer comprehensive coverage of essential topics? Look no further, because we have just what you need! Our carefully crafted worksheets are specifically designed to help 8th grade students strengthen their understanding of pre-algebra concepts and develop crucial math skills. With a wide range of engaging exercises and clear explanations, these worksheets are the perfect resource for both students and educators alike.

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  Solving Two-Step Equations Color Worksheet

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What is the value of the variable in the equation 4x + 6 = 30?

The value of the variable x in the equation 4x + 6 = 30 is 6.

How do you simplify the expression 3(x + 2) - 4(2x - 1)?

To simplify the expression 3(x + 2) - 4(2x - 1), you first distribute the 3 and the -4 across the parentheses. This results in 3x + 6 - 8x + 4. Next, combine like terms by adding the coefficients of the x terms and the constants together, giving you -5x + 10 as the simplified expression.

What is the slope-intercept form of the equation of a line?

The slope-intercept form of the equation of a line is y = mx + b, where m represents the slope of the line and b represents the y-intercept, which is the point where the line crosses the y-axis. This form of the equation is useful for graphing lines and identifying key characteristics such as slope and y-intercept.

How do you solve a system of linear equations using the substitution method?

To solve a system of linear equations using the substitution method, first solve one of the equations for one variable in terms of the other variable. Substitute this expression into the other equation, replacing the variable. Solve this resulting equation to find the value of the substituted variable. Then substitute this value back into one of the original equations to solve for the second variable. Finally, check your solution by plugging the values back into both equations to verify if they satisfy both equations.

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

The area of a rectangle is calculated by multiplying its length and width. So, the area of a rectangle with a length of 8 units and a width of 5 units is 40 square units (8 x 5 = 40).

How do you determine if a number is a perfect square?

To determine if a number is a perfect square, you need to calculate the square root of the number. If the square root is a whole number (an integer), then the original number is a perfect square. If the square root is not a whole number, then the number is not a perfect square.

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

To find the circumference of a circle with a radius of 5 units, you can use the formula: Circumference = 2 x ? x radius. Substituting the radius value, which is 5 units, into the formula gives: Circumference = 2 x ? x 5 = 10? units or approximately 31.42 units.

How do you solve for x in the equation 2(x + 4) - 3x = 5 + 2x?

To solve for x in the equation 2(x + 4) - 3x = 5 + 2x, first distribute 2 into (x + 4) to get 2x + 8. Then, simplify the equation to get 2x + 8 - 3x = 5 + 2x. Combine like terms to get -x + 8 = 5 + 2x. Next, isolate the variable x by moving all terms with x to one side of the equation and constants to the other side. Therefore, x = 3.

What is the midpoint formula for finding the midpoint of a line segment?

The midpoint formula for finding the midpoint of a line segment is ((x1 + x2) / 2, (y1 + y2) / 2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the line segment. This formula calculates the average of the x-coordinates and the average of the y-coordinates to determine the midpoint of the line segment.

How do you expand and simplify the expression (3x - 2)^2?

To expand and simplify the expression (3x - 2)^2, you square each term in the binomial. This gives you 9x^2 - 12x + 4 after expanding.