Solving 2 step equations web
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The document describes solving an algebraic equation problem about Julia spending money at a county fair. It provides the details that it cost $15 to enter the fairgrounds and Julia rode 8 premium rides, spending a total of $27. It writes the equation 8x + 15 = 27 and says you do not need to solve it. It then provides instruction on solving two-step equations through isolating the variable using inverse operations like subtraction and division.
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The document shows mathematical patterns where multiplying single digit numbers by 8 and adding another single digit number produces a series of results. It also shows similar patterns for multiplying single digit numbers by 9. Finally, it highlights the symmetrical pattern produced by multiplying single digit numbers by the same single digit number.
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Pola nombor
The document shows a pattern of multiplying single-digit numbers by 8 or 9 and adding another single digit number, resulting in the product increasing by one each time in the pattern of the added number. It also notes the symmetry when multiplying numbers by themselves.
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The document shows the step-by-step working of solving the equation 12/x = 1 - x. It first writes the equation, then reduces it to get the solution x = 3. The document also shows the expansion and simplification of the quadratic expression (a + 2)2 – (a + 4)2 – (a + 6)2 + (a + 8)2, reducing it to 325 - 325 = 0.
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The document shows mathematical patterns where multiplying single digit numbers by 8 and adding another single digit number produces a series of results. It also shows similar patterns for multiplying single digit numbers by 9. Finally, it highlights the symmetrical pattern produced by multiplying single digit numbers by the same single digit number.
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The document provides an introduction to Vedic mathematics, which is based on ancient Indian Vedic texts. It describes several Vedic mathematical formulas with examples, such as Ekadhikena Purvena for calculating squares, Nikhilam navatascaramam Dasatah for multiplication involving 9s, and Yavadunam Tavadunikrtya Varganca Yojayet for calculating squares close to bases of powers of 10. Algebraic proofs are also presented for some of the formulas. The document notes that Vedic math techniques can solve difficult math problems with high speed and accuracy, and represents just the beginning of applications of Vedic mathematics.
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This document introduces order of operations in mathematics and provides an example problem showing the step-by-step work. It gives the contact information for JerryMath who enjoys sharing tips for solving math problems. The example starts with 125 divided by the quantity of 30 minus 2 minus 3, plus 25 multiplied by 10 minus 2, and shows the step-by-step work to simplify the expression down to the final answer of 205.
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A function is a mathematical rule that assigns each input exactly one output. Functions can be represented as ordered pairs, tables, graphs or equations. When represented as ordered pairs or tables, there cannot be repeats in the x-values, otherwise it is not a function. On a graph, if a vertical line intersects the graph more than once, it is not a function. Functions can be linear or non-linear. A linear function has a constant rate of change, while a non-linear function will have variables with exponents or multiplied together.
Functions fill in the blank passage
A function is a mathematical rule that assigns each input exactly one output. Functions can be represented as ordered pairs, tables, graphs or equations. When represented as ordered pairs or tables, there cannot be repeats in the x-values, otherwise it is not a function. On a graph, if a vertical line intersects the graph more than once, it is not a function. Functions can be linear or non-linear. A linear function has a constant rate of change, while a non-linear function does not have a straight line graph or variables with exponents or being multiplied.
Linear functions station 3
1. The function y = 7 + 3(x - 2) is linear because it can be written in the form y = mx + b, where m is the slope (3) and b is the y-intercept (7).
2. The data points (1, 12) (2,7) (3,4) (4, 3) (5, 4) define a non-linear relationship because as x increases, y does not increase or decrease at a consistent rate.
3. No information is provided to determine if a third function is linear or non-linear.
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- 6. Goal: Isolate the variable Subtract 15 x x x x x x x x x x x 27 x x x x x 12 15
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- 9. Simplify by combining like terms ◦ 2x + x + 10 = 25 ◦ 3x + 10 = 25 Undo addition or subtraction ◦ 3x + 10 = 25 ◦ - 10 = -10 ◦ 3x = 15 Undo multiplication or division ◦ 3x = 15 ◦ 3 3 ◦ x=5
- 10.
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