Ln23 mth7
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The document provides a math problem asking to find the sum of the consecutive integers from 2 to 200. It also includes sample math lessons and worksheets on topics like adding and subtracting mixed numbers, percentages, and geometry. The document serves as a reference for different math problems and lessons that could be assigned as classwork or homework.
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When multiplying by 10, add a 0 to the end of the multiple. When multiplying by 11, write the multiple twice. To multiply by 9, either use fingers, look for patterns in the answers, or add the digits of the two-digit answer together to get 9.
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This document provides a lesson on dividing numbers by 10 and 100. It reminds the reader that to multiply by 10 and 100, you move the decimal point to the right by the number of zeros. Then it states that to divide by 10 and 100, you move the decimal point to the left by the same number of zeros. It provides 8 examples of dividing decimals by 10 and 100 and asks the reader to mentally calculate each quotient.
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This document provides steps for teaching multiplication:
1. Explain multiplication as repeated addition using times tables up to 9.
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1. FOUNDATION COURSE: for VI +VII+ VIII + (NTSE /OLYPIAD COACHING)
2. ACHIEVER: FOR IX, X +IIT-JEE/AIEEE/PMT
3. BOOSTER : FOR XI, XII + IIT-JEE/AIEEE/PMT
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Module 4 Homework Assignment 1
MAT 110: Beginning Algebra
Daniel S. Bernardez
Ms. Carrie Dugan
August 16, 2013
Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word’s equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture Notes. You also have the option of hand writing your work and scanning it.
1.
Find the greatest common factor. 4, 6, 12.
2.
Factor. 24x3 + 30x2
3.
Factor out the GCF with a negative coefficient. –24m2n6 – 8mn5 – 32n4
4.
Factor completely by factoring out any common factors and then factoring by grouping.
6x2 – 5xy + 6x – 5y
5.
The GCF of 15y + 20 is 5. The GCF of 15y + 21 is 3. Find the GCF of the product (15y + 20)(15y + 21).
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The area of a rectangle of length x is given by 15x – x2. Find the width of the rectangle in terms of x.
7.
Factor the trinomial completely. x2 + 8x – 9
8.
Factor the trinomial completely. 2x2 + 16x + 32
9.
Complete the following statement. 6a2 – 5a + 1 = (3a – 1)(__?__)
10.
State whether the following is true or false. x2 – 7x – 30 = (x + 3)(x – 10)
11.
Factor completely. x2 + 11x + 28
12.
Factor completely. 15x2 + 23x + 4
13.
Factor completely. 6z3 – 27z2 + 12z
14.
The number of hot dogs sold at the concession stand during each hour iih after opening at a soccer tournament is given by the polynomial 2h2 – 19h + 24. Write this polynomial in factored form.
15.
Find a positive value for k for which the polynomial can be factored.
x2 – kx + 29
16.
Factor completely.
9x2 + 4
17.
Determine whether the following trinomial is a perfect square. If it is, factor the binomial.x2 – 12x + 36
18.
Factor completely. 25x2 + 40xy + 16y2
19.
Factor.
s2(t – u) – 9t2(t – u)
20.
State which method should be applied as the first step for factoring the polynomial. 6x3 + 9x
21.
State which method should be applied as the first step for factoring the polynomial. 2a2 + 9a + 10
22.
Solve the quadratic equation. 5x2 + 17x = –6
23.
Solve the quadratic equation.
3x(2x – 15) = –84
24.
The sum of an integer and its square is 30. Find the integer.
25.
If the sides of a square are decreased by 3 cm, the area is decreased by 81 cm2. What were the dimensions of the original square?
26.
Write in simplest form.
8
14
9
27
x
x
27.
Write in simplest form.
2
2
– 6+ 8
16
xx
x
-
28.
Write the expression in simplest form.
4 – 8 + 32
4 – 2 + 8
zyzy
yzzy
-
-
29.
The area of the rectangle is represented by 5x2 + 19x + 12. What is the length?
5x + 4
30.
Multiply.
3
8
98
2
x
x
×
31.
Multiply.
2
3127
– 54
xx
xxx
-
×
-
32.
Divide.
26515
2112
xx
--
¸
33.
Divide.
(
)
22
2
2
4
+ 2
6– 12
xy
xxy
xxy
-
¸
34.
Perform the indicated operations.
22
22
– 9368
4 – 244 – 36 + 5 – 6
xxxx
xxxxx
-
××
35.
Find the area of the rectangle shown.
36.
Subtract. Express your ...
9.6
The document provides instructions on how to factor quadratic expressions of the form x^2 + bx + c by making a T-table to find two numbers whose sum is b and product is c. It includes examples of factoring quadratic expressions when b and c are positive, when b is negative and c is positive, and when b is positive and c is negative. It also includes an example of solving a multi-step word problem involving factoring a quadratic expression.
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Weekly Dose 17 - Maths Olympiad Practice
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1) Given the total weights of groups of ducks and ducklings, it calculates that the weight of 2 ducks and 1 duckling is 20 kg.
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The document contains a math review with examples of different techniques for counting combinations and permutations, as well as examples involving polynomials, solid geometry, and other math concepts. It provides the steps and work for 14 different math problems, showing how to use techniques like multiplication, combinations, and permutations to calculate things like the number of combinations for choosing food items or essays. It also includes examples of multiplying polynomials, finding volumes of solids, and solving geometry problems involving parallel lines and transversals.
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