Algebra 1 Review Worksheet with Answers
Are you a high school student looking for a helpful resource to review your Algebra 1 skills? Look no further! In this blog post, we will introduce you to an Algebra 1 review worksheet that includes answers, making it a convenient and effective tool for honing your understanding of the subject.
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What is the value of 3x + 4 when x = 5?
The value of 3x + 4 when x = 5 is 19. Calculating 3(5) + 4 = 15 + 4 = 19.
Simplify the expression: 2(a + 3b) - 4a + 5b.
To simplify the expression 2(a + 3b) - 4a + 5b, you distribute the 2 to both terms inside the parentheses to get 2a + 6b, then you combine like terms by subtracting 4a and adding 5b to get the simplified expression 2a + 6b - 4a + 5b, which simplifies further to -2a + 11b.
Solve the equation: 2x + 7 = 15.
To solve the equation 2x + 7 = 15, first subtract 7 from both sides to isolate the x term. This gives us 2x = 8. Then, divide both sides by 2 to solve for x. Thus, x = 4.
Factor the quadratic expression: x^2 + 5x + 6.
The quadratic expression x^2 + 5x + 6 can be factored into (x + 2)(x + 3).
Expand the expression: (2x - 3)(x + 4).
To expand the expression (2x - 3)(x + 4), you can use the distributive property by multiplying each term in the first parentheses by each term in the second parentheses. This gives you 2x^2 + 8x - 3x - 12. Simplifying further, you get 2x^2 + 5x - 12.
Solve the inequality: 2x + 3 > 10.
To solve the inequality 2x + 3 > 10, first subtract 3 from both sides to isolate the variable: 2x > 7. Next, divide by 2 on both sides to find x: x > 3.5. Therefore, the solution to the inequality is x is greater than 3.5.
Simplify the fraction: (8x^2 - 12x) / 4x.
The fraction (8x^2 - 12x) / 4x simplifies to 2x - 3.
Find the slope of the line passing through the points (-2, 5) and (4, 7).
The slope of the line passing through the points (-2, 5) and (4, 7) is 1/3. To find the slope, you can use the formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) = (-2, 5) and (x2, y2) = (4, 7). Plugging in the values, you get slope = (7 - 5) / (4 - (-2)) = 2 / 6 = 1/3.
Solve the system of equations: 3x + 2y = 10 and 4x - y = 8.
To solve the system of equations, first solve one of the equations for either x or y and substitute it into the other equation. Let's solve the second equation, 4x - y = 8, for y to get y = 4x - 8. Then, substitute this into the first equation, 3x + 2(4x - 8) = 10, simplify to get 3x + 8x - 16 = 10, which simplifies to 11x = 26. Thus, x = 26/11 = 2.36. Now substitute x back into y = 4x - 8 to find y: y = 4(2.36) - 8 = 0.44. Therefore, the solution to the system of equations is x = 2.36 and y = 0.44.
Find the domain of the function f(x) = 1 / (x - 3).
The domain of the function f(x) = 1 / (x - 3) is all real numbers except x cannot equal 3, since division by zero is undefined. Therefore, the domain is all real numbers where x is not equal to 3.
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