Algebra 1 Math Problems Worksheet

Are you a high school student or a parent looking for additional algebra resources? Look no further. We have a comprehensive collection of algebra 1 math problems worksheets that will provide you with plenty of practice and help you master important concepts. From equations and inequalities to functions and graphing, our worksheets cover a wide range of topics to help you succeed in your algebra 1 course. Whether you need extra practice for a test or you simply want to improve your algebra skills, our worksheets are designed to provide you with ample opportunities to practice and reinforce what you've learned.

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  These Basics for Algebra 1 Worksheets

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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.

Solve the equation 3(2x + 4) = 30.

To solve the equation 3(2x + 4) = 30, first distribute the 3 on the left side to get 6x + 12 = 30. Then, subtract 12 from both sides to isolate the variable, resulting in 6x = 18. Finally, divide both sides by 6 to find the value of x, which is x = 3.

Simplify the expression 3x - 2y + 5x + 2y.

The given expression simplifies to 8x, as the terms containing y cancel each other out when combined.

Factor the quadratic expression x^2 - 9.

The quadratic expression x^2 - 9 can be factored as (x - 3)(x + 3), by using the difference of squares formula which states that a^2 - b^2 = (a - b)(a + b).

Solve the equation 4x + 7 = x - 3.

To solve the equation 4x + 7 = x - 3, first, we want to isolate the variable x. We can do this by moving all the x terms to one side of the equation and the constant terms to the other side. Subtracting x from both sides gives us 3x + 7 = -3. Then, subtracting 7 from both sides gives 3x = -10. Finally, dividing by 3 on both sides gives us x = -10/3 or x = -3.33.

Evaluate the expression 2x^2 + 3x - 5 when x = 2.

Substitute x = 2 into the expression 2x^2 + 3x - 5 to evaluate it: 2(2)^2 + 3(2) - 5 = 2(4) + 6 - 5 = 8 + 6 - 5 = 14 - 5 = 9. Therefore, when x = 2, the expression 2x^2 + 3x - 5 equals 9.

Solve the inequality 2x - 5 < 15.

To solve the inequality 2x - 5 < 15, you first add 5 to both sides to isolate the variable term. This gives you 2x < 20. Then, divide both sides by 2 to solve for x, which results in x < 10. Therefore, the solution to the inequality 2x - 5 < 15 is x < 10.

Find the slope-intercept form of the equation given the slope is 2 and the y-intercept is -3.

The slope-intercept form of the equation is y = 2x - 3.

Simplify the expression (2x + 3)^2.

The simplified expression is 4x^2 + 12x + 9.

Solve the system of equations 2x + y = 10, 3x - y = 4.

To solve this system of equations, we can add the two equations together to eliminate y: 2x + y + 3x - y = 10 + 4, which simplifies to 5x = 14. Dividing by 5, we find x = 14/5. Substitute x back into one of the original equations, for example, 2(14/5) + y = 10, we get y = -8/5. Therefore, the solution to the system of equations is x = 2.8 and y = -1.6.