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Algebra 1 Chapter One Test Write an algebraic expression for each verbal expression. 1) the product of 8 and a number, increased by 12 2) the difference of a number and 6, divided by 4 3) 10 less than the product of 4 and a number squared 4) 25 decreased by twice some number Evaluate. 5) 4 2 3 6) 12 6 2 3 7) 4 12 2 3 2 9 8) 56 [7 4 2 ] 3 Simplify. 9) 5x 3 6x 2 10) 3y 20y 15 5 11) 22 2 y 3 y 5 12) 3 x 4 x 7 Evaluate for the given value(s). 3 13) x 2 10 3 when x 4 14) 22 x 9 when x 3; y = 5 y 2 Solve. 15) x 9 12 3 1 4 35 2 16) 2 7 63 8 y Matching: On the answer line write the letter of the property illustrated in each equation. Not all the properties will be used. 17) 3ab 3ab A) Distributive Property 18) 5x 5y 5x y B) Inverse Property C) Identity Property 19) 4 x y x 4 y 20) 6 y 6 y 0 D) Zero Property E) Commutative Property F) Associative Property G) Substitution Property 21) Identify the hypothesis and conclusion of the following statement. If it is a hot day then we will go to the beach. 22) Which number is a counterexample for the following statement? For all numbers x, 2x 5 17. A) x = 1 B) x = 0 C) x = 5 D) x = 6 Find the square root. 23) 49 24) 64 20 , 0.5, and 25 from least to greatest. 5 4 26) Order 4.2, 15 , and 4 from least to greatest. 5 25) Order Graph on a number line. 27) x 8 28) 14 x 29) Plot and label the following points (label them with their letter) on the coordinate grid below. Point A (ˉ3,⁻4), Point B (2,ˉ1), Point C (ˉ2,4). Bonus 30) Write 3x 3x 3x in exponential form. Ch 1 Version A Answers 1. 8n + 12 n 6 2. 2 3. 4n2-10 4. 25 – 2n 5. -8 6. 7 7. 11 8. 1 9. x – 15 10. 11y – 6 11. –y + 23 12. 4x – 19 13. -6 3 14. 7 5 15. 7 16. y = -10 17. Associative Property 18. Distributive Property 19. Commutative 20. Identity 21. Hypothesis – It is a hot day Conclusion – we will go the beach 22. x = 6 23. 7 24. no solution 20 25. 25, ,.5 5 4 26. 15,4.2, 4 5 27. x 8 -10 -9 -8 -7 -6 28. x < 14 12 13 14 15 16 17 29. Bonus (3x)3 Ch 1 Version A