# Written Assignment 1 11: Use the Language of...

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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=2,3,6 2. 20,355=3,5 Find the prime factorization. 3. 60=5*3*2*2 4. 200=5*5*2*2*2 Find the least common multiple for the pair of numbers.
Simplify each expression using the order of operations. 6. 5 + 7 ( 2 + 6 ) = 61 7. 3 [ 1 + 6 ( 4 3 ) ] = 21 Evaluate the expressions. 8. When x = 2 a. x 5 = 64 b. 5 x = 25 c. 3 x 2 4 x 8 =− 4 9. When x = 4 and y = 3 a. x 2 + 2 x 5 y 2 =− 21 Simplify the expression by combining like terms. , , Copyright © 2018 by Thomas Edison State University. All rights reserved.
10. 5 x + 3 + 4 x 5 + 7 x 2 = 16 x 4 Translate each of the English phrases into an algebraic expression. 11. The sum of 4 xy 2 and 5 x 2 y = 4 x y 2 + 5 x 2 y 12. The quotient of 5 xy and 2 z = 2 z ÷ 5 xy 13. Ten less than x = x 10 . . . 1.2: Integers Fill in < , > , or = for each pair of numbers. 14. | 3 | ______=_______ | 3 | 15. 4 ______>_______ | 4 | 16. | 3 | ______=_______ 3 Addition and subtraction: simplify the expression. 17. 12 5 = 7 18. 12 ( 5 ) =− 7 19. 12 5 =− 17