High School Algebra Worksheets with Answers

High school algebra students looking for extra practice and reinforcement need not search any longer. Introducing our comprehensive collection of high school algebra worksheets with complete answers! These worksheets are specifically designed to help students of all levels grasp and master key algebraic concepts and techniques. With a focus on clarity and effectiveness, these worksheets cover a wide range of topics, ensuring that every student finds suitable practice material tailored to their specific needs and learning style.

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  3rd Grade Math Subtraction Word Problems

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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.

Simplify the expression 3(x + 4) - 2(x - 1).

Simplifying the expression 3(x + 4) - 2(x - 1) gives the result 3x + 12 - 2x + 2, which further simplifies to x + 14.

Solve the equation 4x^2 - 12x + 9 = 0.

To solve the equation 4x^2 - 12x + 9 = 0, we can use the quadratic formula: x = (-(-12) ± sqrt((-12)^2 - 4*4*9)) / 2*4. Simplifying gives x = (12 ± sqrt(0)) / 8. Thus, x = 3/2 with a multiplicity of 2.

Factorize the expression 6x^2 - 11x + 4.

The expression 6x^2 - 11x + 4 can be factorized as (2x - 1)(3x - 4).

Solve the inequality -3x + 2 > 8.

To solve the inequality -3x + 2 > 8, first subtract 2 from both sides to isolate the variable. This gives -3x > 6. Next, divide both sides by -3, remembering to reverse the inequality sign when dividing by a negative number. This gives x < -2. Therefore, the solution to the inequality is x is less than -2.

Find the slope-intercept form of the equation of a line with a slope of 2 and a y-intercept of -3.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Given a slope of 2 and a y-intercept of -3, the equation of the line in slope-intercept form is y = 2x - 3.

Given the equation 2y + 4x = 10, find the y-intercept.

To find the y-intercept, we set x = 0 in the equation 2y + 4x = 10. Therefore, when x = 0, we have 2y = 10 which simplifies to y = 5. So, the y-intercept of the equation 2y + 4x = 10 is 5.

Graph the quadratic function y = x^2 - 4x + 3.

To graph the quadratic function y = x^2 - 4x + 3, you can first find the vertex of the parabola using the formula x = -b/2a where a = 1, b = -4 in this case. So, x = -(-4)/(2*1) = 2. Plug x=2 back into the equation to find y: y = (2)^2 - 4(2) + 3 = 1. Therefore, the vertex is at (2, 1), and the parabola opens upwards. Additional points can be found by selecting some x values and plugging into the equation. For example, at x=0, y=3, giving point (0, 3), and at x=4, y=3, giving point (4, 3). By plotting these key points on the coordinate plane and drawing a smooth curve, you can graph the quadratic function y = x^2 - 4x + 3.

Solve the system of equations:

I would need the specific equations provided in order to solve the system accurately. Once the equations are provided, I can solve the system using various methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations simultaneously.

2x + y = 6

The equation given is 2x + y = 6.