Simple Algebra Worksheet
Are you searching for a practical and effective learning tool to enhance your understanding of simple algebra concepts? Look no further! We have curated a comprehensive Simple Algebra Worksheet that aims to solidify your grasp on this mathematical subject. Whether you are a student looking to excel in your math class or an educator seeking additional resources for your students, this worksheet is designed to cater to both audiences.
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What is the simplified form of 2x + 3x?
The simplified form of 2x + 3x is 5x.
Solve for x: 4(x + 2) = 28.
To solve for x in the equation 4(x + 2) = 28, first distribute the 4 to both terms inside the parentheses: 4x + 8 = 28. Then, subtract 8 from both sides of the equation to isolate 4x: 4x = 20. Finally, divide both sides by 4 to solve for x, which gives x = 5.
Expand the expression: (x + 5)^2.
To expand the expression (x + 5)^2, you need to multiply the binomial by itself. This results in x^2 + 10x + 25.
Factorize the expression: 3x^2 - 12x + 9.
The expression 3x^2 - 12x + 9 can be factorized to (3x - 3)(x - 3).
Solve the equation: 2x - 7 = 3x + 10.
To solve the equation 2x - 7 = 3x + 10, we need to isolate x. By subtracting 2x from both sides, we get -7 = x + 10. Next, subtract 10 from both sides to get x = -17. Therefore, the solution to the equation is x = -17.
Simplify the expression: (3x - 5)(2x + 3).
The simplified expression is 6x^2 - 7x - 15.
Solve for y: 2y + 6 = 18 - y.
y = 4. Solving the equation by isolating y on one side and combining like terms leads to 3y = 12, then dividing both sides by 3 results in y = 4.
Evaluate the expression: 2(x + 4) - 3(2x - 1) when x = 2.
To evaluate the expression 2(x + 4) - 3(2x - 1) when x = 2, first substitute x = 2 into the expression. This becomes 2(2 + 4) - 3(2*2 - 1). Simplifying gives 2(6) - 3(4 - 1) = 12 - 9 = 3. Therefore, the value of the expression when x = 2 is 3.
Divide the expression: (4x^3 - 12x^2 + 2x) ÷ 2x.
To divide the expression (4x^3 - 12x^2 + 2x) by 2x, you can write it as (4x^3 - 12x^2 + 2x) / 2x. Simplifying this expression gives 2x^2 - 6x + 1.
Find the value of x: 5(2x - 1) = 23 - (4x + 3).
To find the value of x, we first distribute the multiplication on the left side of the equation: 10x - 5 = 23 - 4x - 3. Next, we combine like terms: 10x + 4x = 23 + 5 - 3 --> 14x = 25. Finally, to solve for x, divide by 14 on both sides: x = 25/14. The value of x is 25/14.
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