ASVAB MATHEMATICS ARITHMETIC & KNOWLEGE

Which of the following is the smallest prime number greater than 200? A. 201. B. 205. C. 211. D. 214. A prime number is a number larger than 1 that has only itself and 1 as factors. (It can be evenly divided only by itself and by 1.) 201 is divisible by 3; 205 is divisible by 5; 211, however, is a prime number If 40% is equal to the fraction x/30, what is the value of x? A. 0.4 B. 15 C. 1,200 D. 12 Change 40% to a decimal and write an equation to solve for x. 0.4 = x/30. Multiply both sides by 30. You are "undoing" the division. The expression "5 factorial" equals A. 125. B. 120. C. 25. D. 10. The product of all integers from 1 to x is called the x factorial. The product of all numbers from 1 to 5 is 5 factorials. Thus (5)(4)(3)(2)(1) = 20 (3)(2)(1) = 60 (2)(1) = 120 (1) = 120. The expression 5 factorial" is equal to 120 What is the result of subtracting 3x² - 5x - 1 from 8x² + 2x - 9? A. 5x² - 3x - 10 B. -5x² - 3x - 10 C. 5x² +7x - 8 D. -5x² - 7x + 8 To subtract one polynomial from another, you change the signs of the terms in the subtrahend. First write the example as a subtraction in arithmetic. (From) 8x² + 2x - 9 (Take) – (3x² - 5x – 1) Then change the signs of the terms in the bottom row (the subtrahend) and combine terms that are alike. 8x² + 2x - 9 -3x² + 5x + 1 ___________ 5x² + 7x - 8 What is the meaning of the statement -30 < -5? A. 30 is greater than 5. B. 30 is less than minus 5. C. Negative 30 is less than negative 5. D. Negative 30 is greater than negative 5. On the number line above, -5 is to the left of 0 and is, therefore, less than 0, but -50 is to the left of -5. This makes -30 less than -5. The < sign is a symbol of inequality, meaning "less than". The statement (-30 < -5) means "negative 30 is less than negative 5." Solve for x: 8x - 2 - 5x = 8. A. x = 1.3 B. x = 2½ C. x = 3 and 1/3 D. x = -7 To solve for x, combine all similar terms, and set the equation equal to zero. (8x - 5x) + (-2 - 8) = 0 Do the operations inside the parenthesis. 3x - 10 = 0 Next, add 10 to each side. You are undoing the subtraction. 3x - 10 + 10 = 0 + 10 3x = 10 Finally, divide each side by 3 to find the value of x> You are undoing the multiplication.