University:
Glendale Community College
Course:
MAT092 | Beggining Algebra
Academic year:

2020
Views:

183

Pages:

3
Author:

w4edk9

Section 1: True/False Statements A) 7x² = 49x² = (7x)²: FALSE B) 2/(-3) = -2/3: TRUE C) 12/15 ÷ 3/1 = 4/5: FALSE D) 2L + 2W = 2(L + W): TRUE Section 2: Translation to Mathematical Symbols A) Three less than the product of five and a number: 5x - 3 B) The dollars invested in a mutual fund are double the amount of dollars invested in a bank account: M = 2B C) My total cost is my price of my meal increased by three-tenths of my price of my meal: T = P + 3/10P Section 3: Translation to Verbal Statements A) (x + 3)/9: The sum of a number and three, divided by nine. B) A = 1/2bh: Area is one half times the base times the height. C) a³ - b³: The difference of two cubes. 4. For the expressions that you see below, list the FACTORS and the TERMS for each: A) a + b Factors: a, b Terms: a, b B) (x-5)(x+3) Factors: (x-5), (x+3) Terms: x, -5, x, 3 5. Use the commutative law of multiplication to rewrite the expression (a+b)/xy. (a+b)/yx 6. Use the commutative law of addition to rewrite (x-5)(x+3). (x-5)(3+x) 7. Use the associative law of addition to write an equivalent expression (x+y)+2. x+(y+2) 8. Use the associative law of multiplication to write an equivalent expression (3x)(y). 3(xy) 9. Use the distribution law to write an equivalent expression for the following: A) 2(5x - 2y + 4) 2(5x) - 2(2y) + 2(4) = 10x - 4y + 8 B) 2/3(6m - 12) (2/3)(6m) - (2/3)(12) = 4m - 8 10. Perform the indicated operations below. Answers should be in lowest terms (you do not need to use prime factorization). SHOW YOUR WORK. A) 7/3 ÷ 14/9 (7/3) * (9/14) = 3/2 B) 3/8 - 5/6 (3/8)(3/3) - (5/6)(4/4) = 9/24 - 20/24 = -11/24 C) -8/9 * 1/-2 * -3/4 (-8/9)(-1/2)(-3/4) = -1/3 D) 3/7 + 5/14 + 1/2 (3/7)(2/2) + (5/14) + (1/2)(7/7) = 6/14 + 5/14 + 7/14 = 18/14 = 9/7 10. Continue to perform the indicated operations below. Answers should be in lowest terms (you do not need to use prime factorization). SHOW YOUR WORK. E) -45 - 5(7 - 4) -45 - 5(3) -45 - 15 -60 F) -25 - 3(-4)^2 -25 - 3(16) -25 - 48 -73 G) -2(-5)(-6)(-1)^3 -2(-5)(-6)(1) -2(30) -60 H) 7 - 4[15 - 2(12 - 4)] 7 - 4[15 - 2(8)] 7 - 4[15 - 16] 7 - 4(-1) 7 + 4 11 11. If x = 3 and y = -4, evaluate the following expressions: A) 5x² + 2xy + y² 5(3)² + 2(3)(-4) + (-4)² 5(9) + 2(-12) + 16 45 - 24 + 16 3 + 16 19 B) (3x + 4y) / (2xy) (3(3) + 4(-4)) / (2(3)(-4)) (9 - 16) / (-24) -7 / -24 7/24 12. Simplify the following expressions: A) (8x)(4x - 5x) (8x)(-x) -8x² B) 4(x + 2) - 2(x + 5) 4x + 8 - 2x - 10 2x - 2