Math Subtest II Flashcards

Question

Transitive Property

Answer 1

if a number is equal to b, and number b is equal to number c, then number a is also equal to number c a=b, b=c, c=a

Answer 2

every number is equal to itself x=x

Answer 3

If the number is divisible by both 3 and 2, then it is also divisible by 6. For example, 168 is divisible by 6 since it is divisible by 2, and it is divisible by 3.

Answer 4

1. **Front-end strategy.** The front-end strategy focuses on the left-most or highest place-value digits. For example, you can estimate the sum 67 + 91 by adding the highest place-value digits, 6 and 9. Thus, approximate 67 + 91 by 60 + 90 to obtain 150. 2. **Rounding strategy**. Using the rounding strategy to estimate 67 + 91 would round 67 to 70 and would round 91 to 90 to yield 70 + 90 = 160 as an estimate for the sum. 3. **Clustering strategy**. When operating with numbers that are clustered close to one another in value, group the operations to make the calculations easier. For example, to estimate the sum 594 + 603 + 622 + 586, notice that each of the 4 terms is approximately 600. So, the sum is approximately 4(600) = 2400. 4. **Compatible numbers strategy**. Adjust the numbers so that they are easier to work with: in division, adjust the divisor, the dividend, or both, so that they are easier to compute. For example, to estimate 67 ÷ 3, observe that 67 is close to 66, which is divisible by 3. So, an estimate for 67 ÷ 3 is 66 ÷ 3 = 22. 5. **Special numbers strategy**. Look for special numbers that are close to values that are easy to combine, such as one-half, or the powers of ten. For example, to estimate 51% of 89, observe that 51% is close to and that 89 is close to 90. So, 51% of 89 is approximately one-half of 90, or 45. This estimate is very close to the actual value of 45.39.

Answer 5

two or more simple machines working together. A wheelbarrow is an example of a complex machine that uses a lever and a wheel and axle. Machines of all types make work easier by changing the size or direction of an applied force.

Answer 6

if a number is equal to another number, then the converse is also true x=y then y=x

Answer 7

A line segment connecting any two points on a circle the intersection of the interior of a central angle of the circle with the circle itself

Answer 8

N = {1, 2, 3, 4, 5, 6, . . . }

Answer 9

X-Y plots are used to determine relationships between the two different things. The x-axis is used to measure one event (or variable) and the y-axis is used to measure the other. If both variables increase at the same time, they have a positive relationship. If one variable decreases while the other increases, they have a negative relationship. Sometimes the variables don't follow any pattern and have no relationship.

Answer 10

if two number are equal to one another, they are interchangeable x=y, they x+z=y+z

Answer 11

y = mx + b

Answer 12

Autotropic organisms are capable of harnessing energy from sunlight and using it to produce glucose, the main source of energy for the organism. Heterotropic organisms capture energy by eating plants or other animals.

Answer 13

Constants are symbols that represent fixed values. In the expression 3x + 7, the constants are 3 and 7. Variables are symbols that stand for changing values. Most often we use letters of the alphabet for variables. In the expression 3x + 7, the letter x is a variable. The value of the expression depends on the specific number we substitute for x. For example, if we substitute 2 for x, the value of the expression is 3(2) + 7 = 13.

Answer 14

A set of ordered pairs that pairs each element x of one set, called the domain (input) of the function, with a unique element f(x) of another set, called the range (output) of the function.

Answer 15

Operators are symbols such as +, -, × and / that represent operations such as addition, subtraction, multiplication, and division. Grouping symbols are symbols such as parentheses ( ) and brackets [] that indicate the order in which we should interpret the operations and the relations in a mathematical expression. Relations are symbols that compare expressions. Common relations are =, , ≤, and ≥.

Answer 16

When adding two numbers, the sum is the same regardless of the order in which the numbers are added. 2 + 3 = 3 + 2

Answer 17

the smallest multiple that they have in common 3: 3,6,9,12,[15],18,21,24 5: 5,10,[15]

Answer 18

are any numbers that 'cannot' be expressed as fractions, such as an infinite, non-repeating decimal irrational have non-terminating and non-repeating decimals (ex. PI)

Answer 19

Smaller structures inside plant an animals cells, which are specialized to fulfill specific functions within the cell. Mitochondria, for example, break down glucose to provide energy to the cell. Bacterial cells lack most of these organelles.

Answer 20

consists of two expressions related by an equals sign. For example, 2x − 3 = 5 is an equation. If an equation contains a variable, then a solution of the equation is a value which, when substituted for the variable, yields a true equality. For example, 4 is a solution of 2x − 3 = 5 because when 4 is substituted for x, the equation is a true statement: 2(4) − 3 = 8 - 3 = 5

Answer 21

If the sum of the digits is divisible by 9, then the number itself is also divisible by 9. For example, 369 is divisible by 9 since the sum of its digits is 18 (3 + 6 + 9 = 18), and 18 is divisible by 9.

Answer 22

example: 2/5 = .4 = 40% 65% = 65/100

Answer 23

states that if there are 'm' ways one thing to happen, then there is another thing that happens, there are 'mxn' ways for both to happen (tree diagram)

Answer 24

C = 2πr A = πr² d = 2r

Answer 25

three-dimensional solid with faces that are polygons joined at their edges. The term polyhedron comes from the Greek "poly" meaning many, and "hedra" meaning faces. The edges of a polyhedron are the line segments where the faces meet, and the vertices (singular, vertex) of the polyhedron are the points where the edges meet.

Answer 26

Find the slope of the line that passes through the points (2 , 0) and (3 , 4).

Answer 27

the largest factor that they have in common 20: 1,2,[4],5,10,20 24: 1,2,3,[4],6,8,12,24