# WA1_MAT-115-mar18.docx - MAT-115 INTERMEDIATE ALGEBRA...

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MAT-115: INTERMEDIATE ALGEBRA Written Assignment 1 1.1: Use the Language of Algebra Determine whether each number is divisible by 2, 3, 5, 6, and by 10. 1. 48 is divisible by 2, 3, and 6. 2. 20,355 is divisible by 3, and 5. Find the prime factorization. 3. 60 60 / \ 2 30 / \ 2 15 / \ 3 5 60 = 2 * 2 * 3 * 5 4. 200 / \ 2 100 / \ 2 50 / \ 5 10 / \ 2 5 200 = 2 * 2 * 5 * 2 * 5 Find the least common multiple for the pair of numbers. 5. 9 12 / \ / \ 3 3 2 6 / \ 2 3 Copyright © 2018 by Thomas Edison State University. All rights reserved.
Simplify each expression using the order of operations. 6. 5 + 7 ( 2 + 6 ) = 5 + 7 * 8 = 5 + 56 = 61 7. 3 [ 1 + 6 ( 4 3 )] = 3[1 + 6 * 1] = 3 * 7 = 21 Evaluate the expressions. 8. When x = 2 a. x 5 = 2 * 2 * 2 * 2 * 2 = 32 b. 5 x = 5 * 5 = 25 c. 3 x 2 4 x 8 = 3 * 2 *2 – 4 * 2 – 8 = 12 – 8 -8 = - 4 9. When x = 4 and y = 3 a. x 2 + 2 x 5 y 2 = 4 * 4 + 2 * 4 – 5 * 3 * 3 = 16 +8 – 45 = - 21 Simplify the expression by combining like terms. 10. 5 x + 3 + 4 x 5 + 7 x 2 = (5x + 4x + 7x) + (3 – 5 -2) = 16x –4 Translate each of the English phrases into an algebraic expression. 11. The sum of 4 xy 2 and 5 x 2 y . 4xy 2 + 5x 12. The quotient of 5 xy and 2 z . 5xy : 2z 13. Ten less than x . x – 10 , , 2y 1.2: Integers