Student Name: Teacher: Date: Miami-Dade County Public Schools. Test: 9_12 Mathematics Algebra I Exam 1. ALG I Topic 1 Test: Foundations of Algebra

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1 Student Name: Teacher: Date: District: Miami-Dade County Public Schools Test: 9_12 Mathematics Algebra I Exam 1 Description: ALG I Topic 1 Test: Foundations of Algebra Form: Simplify 11n 54n 2. Find 3. Which expression is equivalent to?

2 4. A rectangle has side lengths of 3 inches and inches. Which statement must be true about the area of the rectangle? It is a rational number because the product of the side lengths is the rational number 15. It is an irrational number because the product of the side lengths is an irrational number. It is a rational number because the product of and results in 5, a rational number. It is an irrational number because the product of the side lengths is an irrational number. 5. Which of the following represents the simplified form of 6. Which expression is equivalent to? 7. The length of one side of a square, l, may be found using where A is the area of the square. What is the length of one side of a square that has an area of 484 square kilometers? 11 kilometers 22 kilometers 44 kilometers 242 kilometers

3 8. Which expression is equivalent to 9. The equation shows how Bobby determined the product of two rational numbers. Bobby concluded that the product of two rational numbers is also rational. Which of the mathematical statements did Bobby use to arrive at that conclusion? I The set of integers is closed under addition. II The set of integers is closed under multiplication. III A rational number can be written as the ratio of two integers. II only III only II and III only I, II, and III 10. How many terms are in the expression

4 11. Which fraction is equivalent to 12. Simplify 13. If for what value of n does? Which is equivalent to

5 15. Simplify What is the sum of the coefficients of the expression Which statement about rational and irrational numbers is always true? Any irrational number added to any rational number is equal to a rational number. Any irrational number added to any irrational number is equal to a rational number. Any irrational number multiplied by any non-zero rational number is equal to a rational number. Any irrational number multiplied by any non-zero rational number is equal to an irrational number. 18. Simplify

6 19. If what is the value of x? Simplify 21. Simplify Which expression is equivalent to in exponential form?

7 23. Marissa plans to create silk floral arrangements. The expression represents her cost, in dollars, for the arrangements when she buys v vases, f stems of flowers, b stems of wood bark, and m packages of marbles for the bottom of the vases. Which statement is true? The term 13v represents the cost of 13 vases. The coefficient 6 represents the cost of b stems of wood bark. The term 8f represents the cost of f stems of flowers at $8 per stem. The coefficient 3 represents the number of packages of marbles she buys. 24. The expression represents the cost, in dollars, to purchase n cases of paper, f packages of hanging folders, p packs of pencils, and d flash drives. Which statement is not true? The term 7p represents the cost for 7 packs of pencils. The coefficient 10 represents the cost of each flash drive. The coefficient n represents the cost of one case of paper. The term 13f represents the cost of f packages of hanging folders at $13 per package. 25. Given: j and l are nonzero rational numbers. k and m are irrational numbers. Which statement is always true? The result of is an irrational number because the sum of any two rational numbers is irrational. The result of is a rational number because the sum of any two irrational numbers is rational. The result of is a rational number because the sum of any two rational numbers is rational. The result of is an irrational number because the sum of any two irrational numbers is irrational.

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