AMATYC SML Spring 2012 – SOLUTIONS Fullerton College 1. One
... 1. One die must be prime and the others 1; there are 3 choices for the prime (2, 3, or 5), and 3 choices for which die is prime, so 9 ways this can happen. There are 63 outcomes possible, so the probability is 9/63 = 1/24. (Answer: B) 2. For some A and B, 6x3 +5x2 +P x+Q = (x2 +1)(Ax+B) = Ax3 +Bx2 + ...
... 1. One die must be prime and the others 1; there are 3 choices for the prime (2, 3, or 5), and 3 choices for which die is prime, so 9 ways this can happen. There are 63 outcomes possible, so the probability is 9/63 = 1/24. (Answer: B) 2. For some A and B, 6x3 +5x2 +P x+Q = (x2 +1)(Ax+B) = Ax3 +Bx2 + ...
Grade Seven Mathematics
... 0706.3.1 Perform basic operations on linear expressions (including grouping, order of operations, exponents, simplifying and expanding). 0706.3.2 Represent and analyze mathematical situations using algebraic symbols. 0706.3.3 Identify a function from a written description, table, graph, rule, ...
... 0706.3.1 Perform basic operations on linear expressions (including grouping, order of operations, exponents, simplifying and expanding). 0706.3.2 Represent and analyze mathematical situations using algebraic symbols. 0706.3.3 Identify a function from a written description, table, graph, rule, ...
Adjectives that modify Nouns
... In terms of relative size, what the quotient tells us is that not only is 41/2 almost twice as much as 21/2 but it’s exactly 14/5 times as much. As a practical application, suppose we can buy 21/2 pounds of cheese for $ 41/2. Then the price per pound (that is, “dollars per pound”) is obtained by div ...
... In terms of relative size, what the quotient tells us is that not only is 41/2 almost twice as much as 21/2 but it’s exactly 14/5 times as much. As a practical application, suppose we can buy 21/2 pounds of cheese for $ 41/2. Then the price per pound (that is, “dollars per pound”) is obtained by div ...
Extra Practice 1
... Aliya climbs down a ladder. The rungs on the ladder are 30 cm apart. a) Aliya climbs down 2 rungs. Use integers to find her total change in elevation. b) How much higher was Aliya before she climbed down 3 rungs? ...
... Aliya climbs down a ladder. The rungs on the ladder are 30 cm apart. a) Aliya climbs down 2 rungs. Use integers to find her total change in elevation. b) How much higher was Aliya before she climbed down 3 rungs? ...
Structure of HSNP Numeracy - Four levels of proficiency
... then? Agree that there will be half as many. What do you notice? Agree the answer is the same as 20 × 5/2. Pupils find 20 ÷ 3/5 and 4/5. Write ½ ÷ ¼ on the board. Say that we can think of this as how many quarters are in ½, two! Repeat with 1/3 ÷ 1/9. What do you notice? This is the same answer ...
... then? Agree that there will be half as many. What do you notice? Agree the answer is the same as 20 × 5/2. Pupils find 20 ÷ 3/5 and 4/5. Write ½ ÷ ¼ on the board. Say that we can think of this as how many quarters are in ½, two! Repeat with 1/3 ÷ 1/9. What do you notice? This is the same answer ...
Addition
Addition (often signified by the plus symbol ""+"") is one of the four elementary, mathematical operations of arithmetic, with the others being subtraction, multiplication and division.The addition of two whole numbers is the total amount of those quantities combined. For example, in the picture on the right, there is a combination of three apples and two apples together; making a total of 5 apples. This observation is equivalent to the mathematical expression ""3 + 2 = 5"" i.e., ""3 add 2 is equal to 5"".Besides counting fruits, addition can also represent combining other physical objects. Using systematic generalizations, addition can also be defined on more abstract quantities, such as integers, rational numbers, real numbers and complex numbers and other abstract objects such as vectors and matrices.In arithmetic, rules for addition involving fractions and negative numbers have been devised amongst others. In algebra, addition is studied more abstractly.Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some non-human animals. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.