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These flashcards are designed to help review key concepts and problems from the Honors Algebra 1 lecture notes, focusing on exam preparation.
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What is the result of evaluating 7+√√64-6.22 when calculated correctly?
The value is -3.
What property is illustrated by the equation 4+(3+2)=(4+3)+2?
Associative property.
True or False: An integer is also a counting number.
False.
Evaluate 3x+2y²z when x=-3, y=2, and z=-3.
The result is -33.
What is the simplified form of (2x³+7x²-4x+2)-(5x²-3x+1)?
2x³ + 2x² - x + 1.
Simplify (x-4)(2x+3). What is the result?
2x² - 5x - 12.
What is the result of simplifying 27x³y⁷ - 12x²y³z³ over 9x³y³?
3x²y⁴.
Is 2x² + 19x - 5 a quadratic equation?
No, it is classified as a quadratic.
Solve the equation: 2x-(3+6x)=3(2x-8)-20.
The solution is x = -3.
What is the solution for the equation 6(2x-9) = 4(3x+2)?
There is no solution.
In the statement 'The number of years that Jack has been on the soccer team is 2 less than 5 times the number of years that Andrew has', what variables are defined for Andrew and Jack respectively?
Andrew is x and Jack is 5x - 2.
How do you factor the expression 12x³y³ + 18x²y³?
The factored form is 6x²y³(2xy + 3).
What is the factored form of 64x² - 81y²?
The expression factors to (8x - 9y)(8x + 9y).
What are the solutions to the compound inequality -7≤ 10x-2<28?
x is in the interval [-3, 2.5).
Does the graph representing the relation: {(2,-1),(5,4),(3,3),(2,1)} suggest it is a function?
No, it is not a function.
What is the domain and range of the given graph?
Domain: [4, 2]; Range: [-3, 1].
What line represents the standard form of the equation 9y=18-3x?
The standard form is x + 3y = 6.
Determine if lines represented by 7x - 2y = -6 and y = 1/2x - 9 are parallel, perpendicular, or neither.
The lines are parallel.
What is the regression equation from the population data?
y = 0.2038x + 10.638.
What indicates the solution to the inequality y >= x + 2 when tested with the point (0,0)?
It is false; thus, shade the opposite side.