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Questions and Answers
What is the result of $5(6 + 6)$?
What is the result of $5(6 + 6)$?
What is the result of $6 + \frac{(7 + 5)}{4}$?
What is the result of $6 + \frac{(7 + 5)}{4}$?
What is the result of $ rac{(6 - (1 + 1) + 2)}{3}$?
What is the result of $ rac{(6 - (1 + 1) + 2)}{3}$?
What is the result of $(3^2 - (1 - 1) \times 3) \times 2$?
What is the result of $(3^2 - (1 - 1) \times 3) \times 2$?
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If $9m = 27$, what is the value of m?
If $9m = 27$, what is the value of m?
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If $6n - 3(n - 7) = 36$, what is the value of n?
If $6n - 3(n - 7) = 36$, what is the value of n?
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If $3 - 3x = -2x - 4$, what is the value of x?
If $3 - 3x = -2x - 4$, what is the value of x?
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If $(\frac{5}{2})v = -5$, what is the value of v?
If $(\frac{5}{2})v = -5$, what is the value of v?
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Study Notes
Arithmetic Operations
- Multiplication distributes over addition: 5(6+6) simplifies to 5*12, resulting in 60.
- Operations within parentheses are prioritized, such as in 6+(7+5)/4, which simplifies first to 6+12/4, ultimately equaling 9.
Fraction and Division
- In (6-(1+1)+2)/3, calculate inside parentheses first: (6-2+2) before dividing by 3 produces the result of 2.
- Exponents and order of operations apply in equations like (3^2-(1-1)x3)x2, where squaring 3 gives 9, and the entire expression simplifies to 18.
Linear Equations
- Solving for variables involves isolating the variable: For 9m=27, dividing both sides by 9 leads to m=3.
- In 6n-3(n-7)=36, distribute and combine like terms to find n=5.
Solving for Variables
- Rearranging equations is essential, as exemplified in 3-3x=-2x-4. Adding 2x to both sides and rearranging yields x=7.
- In the equation (5/2)v=-5, multiplying both sides by the reciprocal of 5/2 results in v=-2.
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Prepare for your Algebra 1 exam with these pre-test flashcards. Each flashcard presents a problem along with its solution, covering key concepts and calculations you'll encounter. Test your knowledge and enhance your problem-solving skills in algebra.
