Grade 8 Expressions and Equations Free Bundle

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• FREE topics on Grade 8 Expressions and Equations domain
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• FREE 10-item quiz
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This fantastic bundle includes FREE worksheets and quiz items about Expressions and Equations. These ready-to-use Common Core-aligned, Grade 8 Math worksheets, are perfectly paired with premium End-of-Year test booklets.

Common Core Standards (8.EE)

Work with radicals and integer exponents.

1. Know and apply the properties of integer exponents to generate
   equivalent numerical expressions. For example, 32 × 3–5 = 3–3 = 1/33 = 1/27.
2. Use square root and cube root symbols to represent solutions to
   equations of the form x2 = p and x3 = p, where p is a positive rational
   number. Evaluate square roots of small perfect squares and cube roots
   of small perfect cubes. Know that √2 is irrational.
3. Use numbers expressed in the form of a single digit times an integer
   power of 10 to estimate very large or very small quantities, and to
   express how many times as much one is than the other. For example,
   estimate the population of the United States as 3 × 108 and the population
   of the world as 7 × 109, and determine that the world population is more
   than 20 times larger.
4. Perform operations with numbers expressed in scientific notation,
   including problems where both decimal and scientific notation are
   used. Use scientific notation and choose units of appropriate size
   for measurements of very large or very small quantities (e.g., use
   millimeters per year for seafloor spreading). Interpret scientific
   notation that has been generated by technology.

Understand the connections between proportional relationships,
lines, and linear equations.

5. Graph proportional relationships, interpreting the unit rate as the
   slope of the graph. Compare two different proportional relationships
   represented in different ways. For example, compare a distance-time
   graph to a distance-time equation to determine which of two moving
   objects has greater speed.
6. Use similar triangles to explain why the slope m is the same between
   any two distinct points on a non-vertical line in the coordinate plane;
   derive the equation y = mx for a line through the origin and the
   equation y = mx + b for a line intercepting the vertical axis at b.

Analyze and solve linear equations and pairs of simultaneous linear
equations.

7. Solve linear equations in one variable.
   a. Give examples of linear equations in one variable with one
   solution, infinitely many solutions, or no solutions. Show which
   of these possibilities is the case by successively transforming the
   given equation into simpler forms, until an equivalent equation of
   the form x = a, a = a, or a = b results (where a and b are different
   numbers).
   b. Solve linear equations with rational number coefficients, including
   equations whose solutions require expanding expressions using
   the distributive property and collecting like terms.

8. Analyze and solve pairs of simultaneous linear equations.
   a. Understand that solutions to a system of two linear equations
   in two variables correspond to points of intersection of their
   graphs, because points of intersection satisfy both equations
   simultaneously.
   b. Solve systems of two linear equations in two variables
   algebraically, and estimate solutions by graphing the equations.
   Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x +
   2y = 6 have no solution because 3x + 2y cannot simultaneously be 5
   and 6.
   c. Solve real-world and mathematical problems leading to two linear
   equations in two variables. For example, given coordinates for two
   pairs of points, determine whether the line through the first pair of
   points intersects the line through the second pair.

Resource Examples

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