Fun High School Algebra Worksheets

High school algebra can be a challenging subject for many students. To help make the learning process more enjoyable, engaging, and effective, incorporating fun worksheets into your study routine is a great idea. These worksheets are specifically designed to cater to the needs of high school students, allowing them to practice and reinforce their algebraic skills in an entertaining way.

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

To find the value of x in the equation 2x + 5 = 15, you need to isolate x by first subtracting 5 from both sides to get 2x = 10, and then dividing both sides by 2 to get x = 5. Therefore, the value of x in the equation is 5.

Solve the quadratic equation x^2 - 9 = 0.

To solve the quadratic equation x^2 - 9 = 0, we can factor it as (x - 3)(x + 3) = 0. Setting each factor to zero, we find that x = 3 and x = -3 are the solutions to the equation.

Simplify the expression 4x + 3y - 2x + 7y.

The simplified expression is 2x + 10y.

Find the slope of the line that passes through points (-3, 4) and (2, -1).

To find the slope of the line passing through the two points (-3, 4) and (2, -1), we use the formula: slope = (y2 - y1) / (x2 - x1). Substituting the coordinates into the formula, we get slope = (-1 - 4) / (2 - (-3)) = -5 / 5 = -1. Therefore, the slope of the line passing through the two points is -1.

Factorize the expression x^2 + 6x + 9.

The expression x^2 + 6x + 9 can be factorized into (x + 3)(x + 3) or (x + 3)^2.

Solve the system of equations: 3x + y = 10, 2x - 3y = 5.

By solving the system of equations 3x + y = 10 and 2x - 3y = 5 simultaneously, we can find that the solution is x = 3 and y = 1.

Determine the domain and range of the function f(x) = 2x + 1.

The domain of the function f(x) = 2x + 1 is all real numbers since there are no restrictions on the values x can take. The range of the function is all real numbers as well, because as x varies, the output of the function can be any real number depending on the input.

Simplify the expression (2x - 5)^2.

To simplify the expression (2x - 5)^2, you need to expand it by multiplying (2x - 5) with itself. This gives you (2x - 5)(2x - 5), which simplifies to 4x^2 - 20x + 25. So, (2x - 5)^2 simplifies to 4x^2 - 20x + 25.

Solve the inequality 3x - 8 < 5.

To solve the inequality 3x - 8 < 5, we first add 8 to both sides to isolate the variable: 3x - 8 + 8 < 5 + 8, which simplifies to 3x < 13. Then, we divide by 3 to solve for x, giving x < 13/3 or x < 4.33. Therefore, the solution to the inequality 3x - 8 < 5 is x < 4.33.

Find the y-intercept of the line given by the equation y = 2x + 3.

To find the y-intercept of the line given by the equation y = 2x + 3, you set x = 0 because the y-intercept occurs where x = 0. So, when x = 0, y = 2(0) + 3 = 3. Therefore, the y-intercept of the line is 3.