Solve different linear equation that has only one side variable, combining like terms, both side variable. Solve linear equations in one variable with one solution, infinitely many solution, and no solution. Compare two different proportional relationship represented in different ways. Derive the equation y=mx for a line passing through origin and the equation y=mx+b for a line intercepting the vertical axis at b.

Analyze and Solve Linear Equations

Maths

Yvonne Hill

Solve equations that have like terms on one side.

Solve equations that have variables on both the sides of equal to sign.

Determine the number of solutions for an equation.

Compare proportional relationship represented in different ways.

Write equations to describe linear relationship.

Every rational number can be converted as decimal expansion. Use rational approximation of irrational number. Use square root and cube root to represent solution to the equations. Evaluate square root and cube root for perfect squares and perfects cubes respectively.

Real Numbers

Real numbers

Understand the concept of ratio and use ratio language to describe a relationship between two quantities. Make tables of equivalent ratios relating quantities with measurement. Understand the concept of unit rate associated with a ratio a:b with b not equal to 0. Solve unit rate problems involving unit pricing and constant speed. Use ratio reasoning to convert measurement units when multiplying or dividing quantities.

Ratios, Proprortions, and Units (Fundamentals)

Solve system of linear equation by inspection. Understand the solution to the system of linear equation by using graphs. Solve the system of two linear equations in two variables algebraically.

System of Linear Equations

Find the percent of a quantity as rate per 100. Write percents in the form of fractions or decimals. Solve problems involving finding the whole, given a part and the percent.

Percentages (Fundamentals)

Construct and interpret scatter plots for bivariate measurement data. A linear association that fits a straight line, and assess the model fit by judging the closeness of the data points to the line. Use the equation of a linear model to solve problem in the context of bivariate measurement data. Construct and interpret a two-way table summarizing data on two categorical variables. Use relative frequencies to describe possible association between the two variable.

Statistics

Understand that a function has exactly one output for each input. The graph of the function is the set of ordered pairs consisting of an input and corresponding output. Compare properties of two functions represented in different way. Construct a function to model a linear relationship between two quantities. Describe the functional relationship between two quantities by analyzing a graph. Sketch the graph that exhibits qualitative features of a function.

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Analyze and Solve Linear Equations

Course Duration

Tutor

Yvonne Hill

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Real Numbers

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System of Linear Equations

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Statistics

Functions

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