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UNIT 3 TEST STUDY GUIDE Name: _____________________________ Solve the following; substitute each variable with the value given. Evaluate each expression if x = 4, y = 7, and z = ā2. 1. š„š„š„š„ š§š§ 3. z + (ā3x + 3y) 5. -2y + (z + 4y) 2. 4. 4z2+ 2y3 ā x y + zx 6. z + (āx) + y Give TWO examples of: (each example must include a variable) 7. a. an expression b. an inequality. c. an equation. __________________ __________________ __________________ __________________ __________________ __________________ Find the next three terms of the sequence and describe the sequence as arithmetic, geometric, or neither. 8) 14, 15, 17, 20, ______, _______, ________ This sequence is ____________________. 9) 1, 4, 16, 64, _______, _______, _______, This sequence is ____________________. 10) ā20, ā15, ā10, ā5, ______, _______, ______ This sequence is ____________________. If n represents a number in the sequence, describe the relationship between two consecutive terms in the sequence. (Example: The pattern is ān + 2ā) 11) ā4, ā10, ā16, ā22, ā¦ The pattern is _____________________. 12) ā3, ā6, ā12, ā24,.ā¦ The pattern is _____________________. 13) 56, 28, 14, 7, ā¦ The pattern is _____________________. Translate each algebraic expression or equation into a verbal phrase. 14) 12h ā 3 15) šš šš = 28 ___________________________________________________ ___________________________________________________ 16) 3(n ā 9) ____________________________________________________ 17) 7 + 5m = 7 ____________________________________________________ 18) Use the Distributive Property to rewrite each expression. Circle your answer. a. 7(y + 9) b. ā5(h + 1) c. (n + 8)6 d. ā4(p ā 8) a. 3(5 + m) d. ā6(t ā 3) b. ā2(j + k) c. (d + 8)2 Use the word bank to fill in the spaces below. Coefficient Difference Sum Constant Product Equation Inequality Variable Quotient Expression 19) A ________________ is a mathematical sentence that contains an equal sign. 20) The following: 5v + 6t < 4 is an example of a(n) ____________________________. 21) The answer to a subtraction problem is called the _____________________________. 22) A ________________________ is the numerical factor attached to a variable. 23) The 7 in the following 4h + y + 7 is an example of a(n) _________________________. 24) The answer to an addition problem is called the ______________________________. 25) What is the answer to a division problem called? _____________________________. 26) In the following: 2t + 3k = 8 the k is the _____________________________________. 27) What is the answer to a multiplication problem called? _______________________. 28) The following: g + 5b ā 4 is an example of a(n) __________________________ Translate the following verbal phrase into an algebraic expression or equation. 29) 12 less than the quotient of a number and eight. _____________________________ 30) The product of a number āzā and six is twenty-four. ___________________________ 31) Seven less than the product of a number āpā and nine is eighty-one._______________ 32) Double the sum of a number and three. ______________________________________ 33) Find the square of each number. a) 3 b) ā8 c) 4 d) ā5 e) 1.6 f) g) ā4 h) 1.5 j) 1 2 2 5 Translate each algebraic expression or equation into a verbal phrase. 35) 6 + 4k = 36 _______________________________________________ 36) 2(z ā 7) _____________________________________________________ 37) 15n + 3 _____________________________________________________ 38) x = 30 _____________________________________________________ 3 Solve. 39) 42) (22 + 8 ā2) 40) 6[(12 + 6) ÷ 3] 20÷2 2[43(3 + 4)] 43) (5 ā 4)32 2(15 ) 41) (4 + 8)2 ā 9 44) 6 ÷ 2(5 - 4) - 1 Perfect Squares (must know: MEMORIZE): 1² = 6² = 11² = 16² = 2² = 7² = 12² = 17² = 3² = 8² = 13² = 18² = 4² = 9² = 14² = 19² = 5² = 10² = 15² = 20² =