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# Expressions & Equations

## Properties of Integer Exponents

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to generate equivalent numerical expressions: Source: Bryan Anderson

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## Commuting Exponents

Directions: Place a set of parenthesis on each term to make the inequality below true: 10^10^100 < 10^10^100 Source: Shaun Errichiello

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## System of Equations – Table of Value and Slope Intercept Form

Directions: Using the integers -4 to 4, at most one time each, create a system of linear equations that has a solution in quadrant 4. x | y —— _ | _ _ | _ _ | _ and y = _ / _ x + _ Source: Robert Kaplinsky

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## Simplifying Exponential Expressions

Directions: Using the integers 1 to 10 at most one time each, fill in the boxes so that the result is closest to 1. Source: Daniel Luevanos

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## One Solution, No Solutions, Infinite Solutions

Directions: Using Integers (without repeating any number), fill in the boxes to create the following types of Linear Equations Source: Bryan Anderson

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## Slope From Two Points

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the greatest and least possible slope. Source: Dane Ehlert

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## Exponents and Order of Operations

Directions: Find 3 positive integers that add up to 10. Place each number into one of the blanks to find the largest possible result. Source: Zack Miller (@zmill415)

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## Solution of Two Linear Equations

Directions: Using the Integers 0-9 (without duplication), provide four sets of points that represent two distinct lines. These lines can be written as two linear equations. Then provide a fifth point that represents the intersection (or solution) of those equations. Line 1: (__, __) and (__, __) Line 2: (__, __) and (__, __) Solution (__, __) Source: Bryan Anderson

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## Linear Equation with One Solution

Directions: Using Integers 1 to 9 (without repeating any number), fill in the boxes to create a Linear Equations with one solution: Source: Bryan Anderson

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## Create a System of Equations, Given 1 Equation and the Solution

Directions: Write at least two linear equations so that the solution of the system of equations of that line and 4x + y = 8 is (3, -4) Source: Nanette Johnson

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