University:
Felician University
Course:
MATH-002 | Basic Math Skills-Algebra
Academic year:

2024
Views:

155

Pages:

2
Author:

StellarStrategist

1.1 Fractions, Order of Operations, Solving... Solve each proportion: [\frac{3}{6}=\frac{7}{b}] [b=14] [\frac{4}{n}=\frac{9}{8}] [n=\frac{32}{9}] [\frac{8}{10}=\frac{6}{n+10}] [8n+80=60] [8n=-20] [n=\frac{-5}{2}] [\frac{6}{8}=\frac{9}{n-10}] [6n-60=72] [6n=132] [n=22] [\frac{9}{4}=\frac{x+10}{x}] [9x=4x+40] [5x=40] [x=8] [\frac{x}{x+7}=\frac{2}{7}] [7x=2x+14] [5x=14] [x=\frac{14}{5}] [\frac{8}{9}=\frac{m+10}{6}] [9m+90=48] [9m=-42] [m=\frac{-14}{3}] [\frac{3}{r+10}=\frac{6}{10}] [6r+60=30] [6r=-30] [r=-5] Evaluate each expression: [(1+5)+2-4] [6+2-4 = 4] [-6+(-3)+6-4] [-9+6-4 = -7] [\frac{18}{-6--3}-3] [\frac{18}{-3}-3 = -6-3 = -9] [((-2)(-1+2))(-2)] [((-2)(1))(-2) = 4] [12\div(-1-3)--5-3] [12\div-4+5-3 = -3+5-3 = -1] [(1+8+(4-2))(-5)] [(1+4)(-5) = -25] 15) 3 1/4 ÷ 2 3/5 = 13/4 ÷ 13/5 = 13/4 × 5/13 = 5/4 16) 9 2/7 ÷ 4 1/7 = 65/7 ÷ 29/7 = 65/7 × 7/29 = 65/29 Find each product. 17) (1/7)(1/6) = 1/42 18) (8/2)(-4/9) = -32/18 = -16/9 Find each quotient. 19) -13/7 ÷ 7/5 = -13/7 × 5/7 = -65/49 20) 7 1/4 ÷ 4 = 29/4 × 1/4 = 29/16 21) 1 1/5 ÷ -5 1/3 = 6/5 ÷ -16/3 = 6/5 × -3/16 = -9/40 22) -1 1/6 ÷ -1 1/8 = -7/6 ÷ -9/8 = -7/6 × -8/9 = 28/27 Write each number in scientific notation. 23) 0.000044 4.4 × 10^-5 24) 780 7.8 × 10^2 Simplify. Write each answer in scientific notation. 25) (8 x 10^4)(1.8 x 10^6) 14.4 x 10^10 = 1.44 x 10^11 26) (4.22 x 10^1)(5.5 x 10^2) 23.21 x 10^3 = 2.321 x 10^4