Podcast
Questions and Answers
What is equivalent to -16? Select all that apply.
What is equivalent to -16? Select all that apply.
- (-2 - 4) + 5 (correct)
- -2 - 4 + (5 - 2) (correct)
- (-2 - 4 + 5) (correct)
- -2 - 4 + 5 (correct)
- -2 - (4 + 5) (correct)
What is equivalent to x - 3? Select all that apply.
What is equivalent to x - 3? Select all that apply.
- 2x - 3 - 2x
- 3 + (-4x) + 3x
- -4(x - 1) - 7 + 5x (correct)
- 2 - 5 + x (correct)
- -3x
- 3(x + 2) - x - 9 - x
Which expression is not equivalent to the others?
Which expression is not equivalent to the others?
- 3(2t - 4)
- -(12 - 6t)
- -6(2 + t) (correct)
- 6(-2 + t)
Which of the following equations have a solution of -3? Select all that apply.
Which of the following equations have a solution of -3? Select all that apply.
What is the first incorrect step in the solution of 1/5(10 - 15y) = 2y - 13?
What is the first incorrect step in the solution of 1/5(10 - 15y) = 2y - 13?
Which is a correct first step to solve the equation 2 - 3(c - 7) = c + 5? Select all that apply.
Which is a correct first step to solve the equation 2 - 3(c - 7) = c + 5? Select all that apply.
Which is NOT a correct first step to solve 3x + 5 = 2x - 4?
Which is NOT a correct first step to solve 3x + 5 = 2x - 4?
Which of the following would give you 'No Solution'? Select all that apply.
Which of the following would give you 'No Solution'? Select all that apply.
The length of a rectangle is 3 inches shorter than the width. Which expressions model the perimeter of the rectangle? Select all that apply.
The length of a rectangle is 3 inches shorter than the width. Which expressions model the perimeter of the rectangle? Select all that apply.
The length of a rectangle is 4ft more than three times the width. If the perimeter is 40ft, what are the dimensions of the rectangle?
The length of a rectangle is 4ft more than three times the width. If the perimeter is 40ft, what are the dimensions of the rectangle?
Which equation finds W, given l and h in the volume formula V = lwh?
Which equation finds W, given l and h in the volume formula V = lwh?
Which rule matches the table of values: X | -2 -1 0 1 2, Y | -3 0 7 12 9?
Which rule matches the table of values: X | -2 -1 0 1 2, Y | -3 0 7 12 9?
Which rule matches the table of values: X | -2 -1 0 1 2, Y | -7 0 1 2 9?
Which rule matches the table of values: X | -2 -1 0 1 2, Y | -7 0 1 2 9?
Which ordered pair matches the rule y = -2x + 3?
Which ordered pair matches the rule y = -2x + 3?
Which ordered pair could NOT be part of a function that includes (-3, 3), (-2, 2), (-1, 1), (0, 0), and (1, -1)?
Which ordered pair could NOT be part of a function that includes (-3, 3), (-2, 2), (-1, 1), (0, 0), and (1, -1)?
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Study Notes
Equivalent Expressions
- For -16, select equivalents:
- A, B, C, D, E all are equivalent expressions that evaluate to -16.
Expressions Equivalent to x - 3
- To find equivalents to x - 3, select:
- A, D, E are valid expressions equivalent to x - 3.
Non-Equivalent Expression
- Among the following, C is not equivalent to the others:
- A evaluates to 3(2t - 4)
- B evaluates to -(12 - 6t)
- D evaluates to 6(-2 + t)
Solutions to Equations
- Equations with a solution of -3 include:
- A, B, C, D are valid equations that equal -3.
Incorrect Step in Equation Solution
- Identify the first incorrect step in solving:
- B is the first incorrect step in 1/5 (10 - 15y) = 2y - 13.
Steps to Solve an Equation
- Correct initial steps for solving 2 - 3(c - 7) = c + 5 are:
- A is a valid first step.
Incorrect Methods to Solve
- Non-correct approaches for solving 3x + 5 = 2x - 4:
- A is not a valid method.
Conditions for "No Solution"
- To yield "No Solution," select from:
- B, C, F are the equations leading to no valid solution.
Perimeter of a Rectangle
- For a rectangle with a length of 3 inches shorter than the width:
- A and B correctly model the perimeter of the rectangle.
Dimensions of a Rectangle
- Length and width satisfying perimeter:
- A gives correct dimensions: Length = 16 ft, width = 4 ft.
Volume Formula
- Volume V = lwh: to find W when given l and h, rewrite as:
- W = V / (l * h).
Rules Matching Tables
- For the table with X: -2, -1, 0, 1, 2 and Y: -3, 0, 7, 12, 9:
- B (y = 5x + 7) matches the data.
Another Rule Matching Table
- For the table with X: -2, -1, 0, 1, 2 and Y: -7, 0, 1, 2, 9:
- D (y = x^3 + 1) correctly matches the data points.
Ordered Pair for Given Rule
- Ordered pairs that satisfy y = -2x + 3:
- A (-1, -1) is an example that fits.
Possible Function Pair
- Among the options, D (0, 5) could not be part of a function given the preceding points: (-3, 3), (-2, 2), (-1, 1), (0, 0), (1, -1).
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