Forward
The main areas of study in DarTutors Grade 7 are:
-
The basics of algebra (expressions, equations, inequalities, graphing);
-
Integers;
-
Ratios, proportions, and percent;
-
Geometry;
-
Probability and statistics.
​
​
​
​
​
​
Chapter 1: The Language of Algebra
Chapter 2: Integers
Chapter 3: Solving One–Step Equations
Chapter 4: Rational Numbers
Chapter 5: Equations and Inequalities
Chapter 6: Ratios and Proportions
Chapter 7: Percent
Chapter 8: Geometry
Chapter 9: Pythagorean Theorem
Chapter 10: Probability
Chapter 11: Statistics
​
​
​
​
Chapter 1: The Language of Algebra
Introduction
​
Lessons in this Chapter:
​
-
The Order of Operations
-
Expressions and Equations
-
Properties of the Four Operations
-
Simplifying Expressions
-
Growing Patterns 1
-
The Distributive Property
-
Chapter 1 Review
​
​
ORDER OF OPERATIONS
Otter Rush
Practice exponents in this otter-themed math game.
Exponents Jeopardy Game
Practice evaluating exponents, equations with exponents, and exponents with fractional bases in this interactive Jeopardy-style game.
Order of Operations Quiz
A 10-question online quiz that includes two different operations and possibly parentheses in each question. You can also modify the quiz parameters yourself.
The Order of Operations Millionaire
Answer multiple-choice questions that have to do with the order of operations, and win a million. Can be played alone or in two teams.
Exploring Order of Operations (Object Interactive)
The program shows an expression, and you click on the correct operation (either +, −, ×, ÷ or exponent) to be done first. The program then solves that operation, and you click on the next operation to be performed, etc., until it is solved. Lastly, the resource includes a game where you click on the falling blocks in the sequence that the order of operations would dictate.
Make 24 Game
Arrange the number cards, the operation symbols, and the parentheses, so that the expression will make 24.
Order of Operations Practice
A simple online quiz of 10 questions. Uses parentheses and the four operations.
WRITING EXPRESSIONS
Algebraic Symbolism Matching Game
Match each verbal statement with its algebraic expression.
Who Wants to Be a Hundredaire?
Try to work your way up to $100 by responding correctly to multiple-choice questions about algebraic expressions.
Equivalent Algebraic Expressions
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property.
Visual Patterns
Click on the pattern to see a larger image and the answer to step 43. Can you solve the equation?
Expressions and Variables Quiz
Choose an equation to match the word problem or situation.
Translating Words to Algebraic Expressions
Match the correct math expression with the corresponding English phrase, such as “7 less than a number”. You can do this activity either as a matching game or as a concentration game.
Rags to Riches - Verbal and Algebraic Expressions
Translate between verbal and algebraic expressions in this quest for fame and fortune.
Algebra Noodle
Play a board game against the computer while modeling and solving simple equations and evaluating simple expressions. Choose level 2 (level 1 is too easy for 7th grade).
Matching Algebraic Expressions with Word Phrases
Five sets of word phrases to match with expressions.
​
PROPERTIES OF THE OPERATIONS
Properties of Operations at Quizlet
Includes explanations, online flashcards, and a test for the properties of operations (commutative, associate,distributive, inverse, and identity properties). The inverse and identity properties are not covered in this chapter of DarTutors but can be learned at the website. The identity property refers to the special numbers that do not change addition or multiplication results (0 and 1).
Commutative/Associative/Distributive Properties Matching Game
Match the terms and expressions in the two columns.
Properties of Multiplication
Simple online practice about the commutative, associative, distributive, and identity properties of multiplication.
Properties of Multiplication
Simple online practice about the commutative, associative, distributive, and identity properties of multiplication.
Properties of the Operations Scatter Game
Drag the corresponding items to each other to make them disappear.
Associative, Distributive and Commutative Properties
Examples of the various properties followed by a simple self-test.
SIMPLIFYING EXPRESSIONS
Simplifying Algebraic Expressions Quiz
An online quiz of 15 questions.
Distributive Property Quiz
Reinforce your skills with this interactive online quiz.
THE DISTRIBUTIVE PROPERTY
Factor the Expressions Quiz
Factor expressions such as 3x + 15 into 3(x + 5).
Distributive Property Practice
Guided practice for applying the distributive property, such as writing −8(−7a + 10) as 56a − 80.
Distributive Property Game
Solve questions related to the usage of the distributive property amidst playing a game. Play either a bouncing balls game or free-kick soccer game, with the same questions.
EVALUATE EXPRESSIONS
Escape Planet
Choose the equation that matches the words.
Evaluating Expressions Quiz
Includes ten multiple-choice questions.
Writing and Evaluating Expressions Quiz
This quiz has 12 multiple-choice questions and tests both evaluating and writing expressions.
TERMINOLOGY
Coefficients, Like Terms, and Constants
How to find and name the coefficients, like terms, and constants in expressions.
Identifying Variable Parts and Coefficients of Terms
After the explanations, you can generate exercises by pushing the button that says “new problem.” The script shows you a multiplication expression, such as −(3e)(3z)m, and you need to identify its coefficient and variable part, effectively by first simplifying it.
Identifying Parts of Algebraic Expressions
Answer questions about variables, expressions, equations, and inequalities in this multiple-choice test.
Algebra - Basic Definitions
Clear definitions with illustrations of basic algebra terminology, including term, coefficient, constant, and expression.
GENERAL
Balance Beam Activity
A virtual balance that poses puzzles where the student must think algebraically to find the weights of various figures. Includes three levels.
Nine Digits Puzzles
Practice your reasoning skills with these interactive online puzzles.
Algebra Puzzle
Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column.
Algebraic Expressions - Online Assessment
During this online quiz you must simplify expressions, combine like terms, use the distributive property, express word problems as algebraic expressions and recognize when expressions are equivalent. Each incorrect response will allow you to view a video explanation for that problem.