Добавил:
Upload Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:
Свистунович Н_Е_ Общеобразоват_иноязыч_УМП 2.rtf
Скачиваний:
0
Добавлен:
01.05.2025
Размер:
23.41 Mб
Скачать

Integers

1. When both integers have the same signs keep the sign and add. When the signs are different, disregard the signs, subtract the numbers, and keep the sign of the larger number.

2. Change the sign of the number being subtracted. Then add using the preceding rules.

3. Multiply as you would whole numbers. The product is positive if there are an even number of negative factors. The product is negative if there are an odd number of negative factors.

4. Forget the signs and divide. The quotient is positive if both integers have the same sign. The quotient is negative if the integers have different signs.

Formulas

Using a formula is like evaluating an expression. Just replace the variables with values. Here are some important formulas to know. The area of a figure if the amount of space it occupies in two dimensions. The perimeter of a figure is the distance around the figure. Use 3.14 for p, b —- base, h — height, s — side, l — length, w — width, r — radius, d — diameter.

Figure

Area

Perimeter/Circumference

Triangle

1/2bh

s1 + s + s3

Square

s2

4s

Rectangle

lw

2l + 2w

Parallelogram

bh

2s + 2h

Trapezoid

1/2h(b1 + b2)

b1 + b2 + s1 + s2

Circle

pr2

2pr or pd

Figure

Volume

Cube

s3

Rectangular Prism

lwh

Sphere

4/3pr3

Equations

The whole idea of solving equations is to isolate the variable on one side of the equal sign. The value of the variable is what’s on the other side of the equal sign. Substitute your answer into the original equation to check your solution. Solving two-step equations add or subtract before you multiply or divide: 3x – 6 = 24.

READING AND INTERPRETING GRAPHS

Examples of the four main types of graphs are shown below. The Pictograph uses symbols to stand for numbers. The Bar Graph represents information by the length of a bar. The graph below shows the rain­fall during two months in each of five towns. The Line Graph plots information against two axes. The Circle Graph represents an entire amount. In the graph below, each wedge-shaped piece of the graph represents the percent of tax money spent on different town services.

POST-READING ACTIVITIES

Say what you’ve learned from the texts about:

1) the special strategies for answering the mathematics multiple-choice items;

2) the concepts and topics do you need to know to pass mathematics part of the LAST;

3) the review sections of the mathematics part of the LAST.