Podcast
Questions and Answers
Explain why providing specific details about figures is essential for identifying a pattern.
Explain why providing specific details about figures is essential for identifying a pattern.
Without details, the pattern cannot be determined.
In the book club membership scenario, what does the variable b represent in the expression Total Cost = 10 + 6b?
In the book club membership scenario, what does the variable b represent in the expression Total Cost = 10 + 6b?
- The total cost for a member
- The cost per book
- The number of books (correct)
- The membership fee
According to the book club scenario, a member can buy 10 books if the total cost is $70.
According to the book club scenario, a member can buy 10 books if the total cost is $70.
False (B)
To solve the equation $10 + 6b = 106$, the first step is to subtract ______ from both sides of the equation.
To solve the equation $10 + 6b = 106$, the first step is to subtract ______ from both sides of the equation.
If $9a + 7 = 52$, what is the value of 'a'?
If $9a + 7 = 52$, what is the value of 'a'?
In the context of graphing $3n + 7$, what does the number 7 represent?
In the context of graphing $3n + 7$, what does the number 7 represent?
The graph of $3n + 7$ is a curve.
The graph of $3n + 7$ is a curve.
To solve the equation $6x = 78$, you must ______ both sides by 6.
To solve the equation $6x = 78$, you must ______ both sides by 6.
What value of $x$ solves the equation $6x = 78$?
What value of $x$ solves the equation $6x = 78$?
What operation is used to isolate 'n' in the equation $n + (-2) = 5$?
What operation is used to isolate 'n' in the equation $n + (-2) = 5$?
The solution to $n + (-2) = 5$ is $n = 3$.
The solution to $n + (-2) = 5$ is $n = 3$.
To solve $6p + 1 = 19$, the first step is to ______ 1 from both sides.
To solve $6p + 1 = 19$, the first step is to ______ 1 from both sides.
What is the value of 'p' in the equation $6p + 1 = 19$?
What is the value of 'p' in the equation $6p + 1 = 19$?
Explain the first step in solving the equation $\frac{r}{5} = 10$.
Explain the first step in solving the equation $\frac{r}{5} = 10$.
The solution to $\frac{r}{5} = 10$ is $r = 2$.
The solution to $\frac{r}{5} = 10$ is $r = 2$.
Match each equation with its solution:
Match each equation with its solution:
In the expression $9a + 7$, the term $9a$ indicates that 9 is a ______ of $a$.
In the expression $9a + 7$, the term $9a$ indicates that 9 is a ______ of $a$.
Which of the following operations would you perform last when solving for ‘x’ in the equation $4x - 3 = 17$?
Which of the following operations would you perform last when solving for ‘x’ in the equation $4x - 3 = 17$?
What is the slope of the line represented by the equation $y = 3x + 7$?
What is the slope of the line represented by the equation $y = 3x + 7$?
Solving for 'y' in the equation $2y + 6 = 16$ involves first dividing both sides by 2.
Solving for 'y' in the equation $2y + 6 = 16$ involves first dividing both sides by 2.
Flashcards
Book Club Cost Formula
Book Club Cost Formula
Cost = Membership fee + (Cost per book * Number of books)
Equation to Find Books
Equation to Find Books
Set the total cost equal to the given amount to find the number of books.
Evaluate 9a + 7 for a = 5
Evaluate 9a + 7 for a = 5
Substitute the given value of 'a' into the expression and simplify.
Solve 6x = 78
Solve 6x = 78
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Solve n + (-2) = 5
Solve n + (-2) = 5
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Solve 6p + 1 = 19
Solve 6p + 1 = 19
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Solve r/5 = 10
Solve r/5 = 10
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Study Notes
- A rule for a pattern cannot be determined without specific details and/or description of the figures in the pattern.
Book Club Membership
- The total cost for a book club member is the membership fee plus the cost of books purchased.
- The total cost for a member can be expressed as: Total Cost = 10 + 6b, where b represents the number of books.
- If a member spends $106, the equation to represent this is: 10 + 6b = 106
- To solve the equation 10 + 6b = 106:
- Subtract 10 from both sides: 6b = 96
- Divide both sides by 6: b = 16
- A member can buy 16 books for $106.
Evaluating Expressions
- To evaluate 9a + 7 for a = 5:
- Substitute a = 5 into the expression: 9(5) + 7
- Simplify: 45 + 7 = 52
- The value of the expression 9a + 7 when a = 5 is 52
Graphing Linear Equations
- To graph 3n + 7, plot the line with a slope of 3 and a y-intercept of 7.
Solving Equations
- To solve 6x = 78:
- Divide both sides by 6: x = 13
- To solve n + (-2) = 5:
- Add 2 to both sides: n = 7
- To solve 6p + 1 = 19:
- Subtract 1 from both sides: 6p = 18
- Divide both sides by 6: p = 3
- To solve r/5 = 10:
- Multiply both sides by 5: r = 50
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