Questions and Answers
Simplify and write properly: 2x + 8y + 2y + 4x
6x + 10y
Simplify: (4x - 3) squared
16x squared - 24x + 9
Which of these is the best description of the line with the equation: y = -3x + 4?
Simplify: (-4) to the -3rd
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Solve the equation: 3 - 2x = -21
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Evaluate: 4 + 8 / 2 - 6 + 4(3 - 5) squared
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Write the equation of the line through the point (4, 2) that is parallel to the x-axis.
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Solve the equation: x squared - 5x - 6 = 0
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Which of these describes the parabola with equation: y = -x squared - 4x - 8?
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A slope of zero means the line is...
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Determine if two lines are parallel, perpendicular, or neither: y = 3/4x + 2 and y = -3/4x + 2
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Which of the following is true?
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Simplify: Tiny 3 root 64000
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You solve a system by addition. After matching and adding, you're left with 4=0. Which is true?
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Simplify: (4x squared y to the 0th z to the 6th) squared times (2x to the -3rd z to the 3rd) squared
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Which of the following is true?
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Evaluate: a squared - b squared - c squared when a = 4, b = -2, c = 3
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Which of the following could be the answer to a coin problem?
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Solve: root(x - 3) + 4 = 2
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Choose the correct set notation for the graph: -7 (closed circle) --------- 7 (closed circle)
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12% of what number is 48?
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Write as a simplified fraction: 9 7/8%
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The correct mathematical term for a fraction within a fraction is a:
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Which of the following means that you switch the order of the items when you translate a word problem?
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Which type of word problem can never have three rows/items?
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Evaluate: (x + 5) to the 0th + 5x to the 0th + (5x) to the 0th
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Which of the following is in standard form?
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Write 320 as a percent.
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Fill in the blanks when reading (or singing!) the quadratic formula: 'Negative b, plus or minus, the square root of, b squared minus four a c, _______'
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Study Notes
Simplification Techniques
- Combine like terms: 2x + 8y + 2y + 4x simplifies to 6x + 10y.
- Use the square of a binomial formula: (4x - 3)² results in 16x² - 24x + 9.
- Negative exponents indicate reciprocal: (-4)⁻³ equals -1/64.
Solving Equations
- For the equation 3 - 2x = -21, solution yields x = 12.
- Solving x² - 5x - 6 = 0 results in x = 6 and x = -1.
- Root equation: √(x - 3) + 4 = 2 leads to a null set (no solution).
Line and Slope Characteristics
- Line y = -3x + 4 is steep and slopes up to the left.
- A zero slope indicates the line is horizontal.
- Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals.
Parabolas and Roots
- The parabola y = -x² - 4x - 8 features a maximum and no x-intercepts.
Mathematical Operations and Properties
- A negative added to a negative always results in a negative.
- Rational fractions describe a fraction within a fraction.
- The expression 9 7/8% translates to the fraction 78/800 when simplified.
Word Problems and Set Notation
- The phrase “subtracted from” indicates a switch in the order of items in a word problem.
- A bracket notation [-7, 7] represents the closed circle graph from -7 to 7.
Miscellaneous Calculations
- 12% of a number equating to 48 implies the number is 400.
- The value of (x + 5)⁰ + 5x⁰ + (5x)⁰ evaluates to 7.
- The correct answer to how to express 320 as a percent is 32000.
Quadratic Formula Cues
- The quadratic formula begins with "Negative b, plus or minus, the square root of, b squared minus four a c," completed with "over 2(a)."
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