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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?

  • Shallow and sloping up to the right
  • Steep and sloping up to the left (correct)
  • Steep and sloping up to the right
  • Shallow and sloping up to the left

Simplify: (-4) to the -3rd

<p>-1/64</p> Signup and view all the answers

Solve the equation: 3 - 2x = -21

<p>x = 12</p> Signup and view all the answers

Evaluate: 4 + 8 / 2 - 6 + 4(3 - 5) squared

<p>18</p> Signup and view all the answers

Write the equation of the line through the point (4, 2) that is parallel to the x-axis.

<p>y = 2</p> Signup and view all the answers

Solve the equation: x squared - 5x - 6 = 0

<p>x = 6, x = -1</p> Signup and view all the answers

Which of these describes the parabola with equation: y = -x squared - 4x - 8?

<p>Has a maximum and does not have x-intercepts (C)</p> Signup and view all the answers

A slope of zero means the line is...

<p>horizontal</p> Signup and view all the answers

Determine if two lines are parallel, perpendicular, or neither: y = 3/4x + 2 and y = -3/4x + 2

<p>Neither</p> Signup and view all the answers

Which of the following is true?

<p>A negative added to a negative is always a negative. (C)</p> Signup and view all the answers

Simplify: Tiny 3 root 64000

<p>40</p> Signup and view all the answers

You solve a system by addition. After matching and adding, you're left with 4=0. Which is true?

<p>None of the above (D)</p> Signup and view all the answers

Simplify: (4x squared y to the 0th z to the 6th) squared times (2x to the -3rd z to the 3rd) squared

<p>64x to the 10th z to the 6th</p> Signup and view all the answers

Which of the following is true?

<p>(x to the 5th) to the 3rd = x to the 15th (A), x to the 3rd x to the 5th = x to the 8th (C)</p> Signup and view all the answers

Evaluate: a squared - b squared - c squared when a = 4, b = -2, c = 3

<p>3</p> Signup and view all the answers

Which of the following could be the answer to a coin problem?

<p>4 (B)</p> Signup and view all the answers

Solve: root(x - 3) + 4 = 2

<p>null set</p> Signup and view all the answers

Choose the correct set notation for the graph: -7 (closed circle) --------- 7 (closed circle)

<p>[-7, 7] (B)</p> Signup and view all the answers

12% of what number is 48?

<p>400</p> Signup and view all the answers

Write as a simplified fraction: 9 7/8%

<p>78/800</p> Signup and view all the answers

The correct mathematical term for a fraction within a fraction is a:

<p>rational fraction</p> Signup and view all the answers

Which of the following means that you switch the order of the items when you translate a word problem?

<p>Subtracted from</p> Signup and view all the answers

Which type of word problem can never have three rows/items?

<p>motion</p> Signup and view all the answers

Evaluate: (x + 5) to the 0th + 5x to the 0th + (5x) to the 0th

<p>7</p> Signup and view all the answers

Which of the following is in standard form?

<p>3x + 4y = 8 (C)</p> Signup and view all the answers

Write 320 as a percent.

<p>32000</p> Signup and view all the answers

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, _______'

<p>Over 2(a)</p> Signup and view all the answers

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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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