Questions and Answers
Find the next two terms of this sequence: 3, 7, 11, 15, 19, _____, _____
23, 27
Solve this problem: 5 - (-2) = ?
7
Solve this problem: -2 - 5 = ?
-7
Solve this problem: (-3)(-6) = ?
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Solve this problem using order of operations: 3( 7 + 4 x 2) - 100 = ?
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Simplify: (2a - 3b) - (5a - 7b)
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Solve for the variable: w - 4 = 3
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Solve for the variable: 3d + 2 = 23
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Solve for the variable: 11m + 2 = 9m - 18
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Solve for the variable: 3 - 4x = 5( x + 6)
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(x - 3)² + 2x - 4 for x = 5
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What is the algebraic expression for 'the sum of n and 9'?
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What is an algebraic expression for 'the quotient of j and 8'?
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What is an algebraic expression for 'the product of g and 4'?
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What word phrase can you use to represent '5x + 2'?
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Study Notes
Sequence and Patterns
- The sequence 3, 7, 11, 15, 19 follows an arithmetic pattern with a common difference of 4.
- The next two terms in the sequence are 23 and 27.
Basic Operations with Integers
- Adding a negative: 5 - (-2) results in 7.
- Subtracting integers: -2 - 5 equals -7.
Multiplication of Integers
- The product of two negative integers: (-3)(-6) equals 18.
Order of Operations
- Applying the order of operations to the expression 3(7 + 4 x 2) - 100 yields -55.
Simplifying Algebraic Expressions
- Simplify (2a - 3b) - (5a - 7b) to get -3a + 4b.
Solving Linear Equations
- To find w in the equation w - 4 = 3, the solution is w = 7.
- For the equation 3d + 2 = 23, solving gives d = 7.
- In the equation 11m + 2 = 9m - 18, m solves to -10.
- The equation 3 - 4x = 5( x + 6) simplifies to x = -5.
Evaluating Algebraic Expressions
- When x = 5 for the expression (x - 3)² + 2x - 4, the result is 10.
Algebraic Expressions
- The sum of n and 9 can be expressed as n + 9.
- The quotient of j and 8 is written as j/8.
- The product of g and 4 can be represented as 4g.
Word Phrases in Algebra
- The expression 5x + 2 can be described as "the sum of five times a number x and two."
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Prepare for your algebra exams with these engaging pre-test flashcards. This quiz covers sequences, basic operations, and order of operations, helping you strengthen your math skills. Test your understanding and readiness with challenging problems.
