Algebra Writing Prompts
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ExplainCompare/ContrastDescribeWhy or Why Not?
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In your own words, explain what a variable is. Compare the differences between horizontal and vertical slopes.See the following problem: (18x^3 y^6)/(72x^8 y^10 ) Describe how you would solve it.In the following equation, decide what values are not allowed to replace x. 5/(x-3) ÷(6/x+2) Explain why.
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See the following equation: I=prt Define and explain what each variable means in this equation.What is the difference between domain and range of a relation? Give an example of each.List three ways to solve a system of equations. Create your own system of equations using two variables.Can we use cross-multiplication in the following problem? 3/x × 5/24 Why or why not?
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In the following problem, explain which terms are like terms. 2ab+3ac-4bc-5ac Combine like terms.Summarize the differences between direct and inverse variation. Give an example of each.What process would be used to expand a(b+c)? Describe using this process in the problem.Produce a linear inequality. Would the answer to your inequality be one point? Why or why not?
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How many solutions exist if your lines coincide? What if they are parallel? Draw an example of each.Explain what a difference of two squares is. Give an example.Decide how you would teach what the rectangular coordinate system is to someone who was absent. Summarize your lesson for this student.Would an experienced downhill skier want the slope of the hill to be 1/(10 ) or 9/10? Why?
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In your own words, explain what a fraction is and give an example.How does an expression differ from an equation? Give an example of each. See the problem below. 2^3×2^6 Explain if the answer is 2^9 or 2^18. Describe the basis for your answer.If you were given the points (6, -12) and (6, -5), could you find the slope of the line passing through them? Why or why not?
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State the quadratic formula. When do you use it?Explain the difference between a radical expression and a rational expression. Give an example of each.Describe what kind of solution the following system of equations has: 3x-y=1
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and 3x-y= -6If we were to factor -3bc-3abc, would the answer be -3bc(-a)? Why or why not?
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When you look at a graph, how can you determine if it is a function?Compare three ways of graphing a linear equation.Describe what an inequality is and give an example. Is an ordered pair two answers or one answer? Why?
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Explain how you would factor x^2-13x+36. How would you check your answer?Develop a quadratic equation. How does it differ from a linear equation?Describe how the addition and multiplication principle is like a two-sided balance.Decide whether y= x^2+3 is the graph of a line. Why or why not?
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What is a common factor? Give an example. How would you factor out a common factor?Explain how a ratio is different from a proportion.A rectangle has a length two times the width. Describe how you would find the perimeter and area.
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Explain how you would find the LCD of 15/(x^2-16) and 7/(x-4).Describe what a perfect square trinomial is. Give an example.
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Explain what the degree of this polynomial is. 4x^3-2x^4-5x^2 How do you know?Without using a calculator, describe how you would find the square root of 800.
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Create a problem in which you need to divide rational expressions. Explain how to solve your problem.In your own words, describe what a formula is.
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In the problem 2^5, explain which number is the base and which is the exponent. How would you solve the problem?Classify and describe polynomials in three ways and give an example of each.
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In your own words, explain what the inequality a ≤1.25 means (a is the cost of apples).What is scientific notation? Give an example and describe how to use it.
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A student was absent yesterday. Explain to him or her what square root means.What does FOIL stand for? Describe how you would use it on (a+b)(c-d).
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What is the Pythagorean theorem? Under what circumstances do we use it? Create a problem in which to use this theorem.
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What does substitution mean? Give an example and show how you would solve it.
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What is order of operations? Why do we use it?
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