Expressions and Equations

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Develop and apply the properties of integer exponents to generate equivalent numerical expressions.
Use square root and cube root symbols to: • Represent solutions to equations of the form 𝑥 2 = 𝑝 and 𝑥 3 = 𝑝, where 𝑝 is a positive rational number. • Evaluate square roots of perfect squares and cube roots of perfect cubes for positive numbers less than or equal to 400.
Use numbers expressed in scientific notation to estimate very large or very small quantities and to express how many times as much one is than the other.
Perform multiplication and division with numbers expressed in scientific notation to solve real-world problems, including problems where both decimal and scientific notation are used.
Solve real-world and mathematical problems by writing and solving equations and inequalities in one variable. • Recognize linear equations in one variable as having one solution, infinitely many solutions, or no solutions. • Solve linear equations and inequalities including multi-step equations and inequalities with the same variable on both sides.
Analyze and solve a system of two linear equations in two variables in slope-intercept form. • Understand that solutions to a system of two linear equations correspond to the points of intersection of their graphs because the point of intersection satisfies both equations simultaneously. • Solve real-world and mathematical problems leading to systems of linear equations by graphing the equations. Solve simple cases by inspection.

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