Multiple Choice

Is (0, 3) a solution to the equation y = x + 3?
(1 point)
Responses

yes
yes

no

17 answers

no
Is (1, −4) a solution to the equation y = −2x?
(1 point)
Responses

yes
yes

no
yes
Look at the following points.

(4, 0), (3, −1), (6, 3), (2, −4)

Which are solutions to y = x − 4? Choose all correct answers.
(1 point)
Responses

(6, 3)
(6, 3)

(4, 0)
(4, 0)

(3, −1)
(3, −1)

(2, −4)
(4, 0)
(3, -1)
(2, -4)
that was wrong
Apologies for the incorrect response. Upon reviewing the equation y = x - 4, the correct solutions are:

(4, 0)
(2, -2)
There are 8 crackers in 1 serving, 16 crackers in 2 servings, 24 crackers in 3 servings, and so on. How many crackers are in a box of 12 servings?
(1 point)
Responses

80
80

96
96

108
108

120
To find out how many crackers are in a box of 12 servings, we can multiply the number of servings by the number of crackers in each serving.

12 servings * 8 crackers per serving = 96 crackers

Therefore, there are 96 crackers in a box of 12 servings.

The correct answer is 96.
Give an example of an open equation.
(1 point)
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An example of an open equation is:

2x + 3 = 7

In this equation, x represents an unknown variable, and the equation is open because it leaves the value of x undetermined.
How can you use an equation to make a prediction from a pattern?
(1 point)
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You can use an equation to make a prediction from a pattern by identifying a mathematical relationship between the pattern's variables and expressing that relationship in the form of an equation. Once the equation is established, you can then substitute known values from the pattern into the equation to predict the value of an unknown variable or make future predictions based on the pattern.

For example, if you notice that a sequence of numbers follows a pattern where each number is multiplied by 2, you can create the equation y = 2x to represent this relationship. You can then use this equation to predict the value of y for a given value of x or extend the pattern by substituting different values of x into the equation to find corresponding values of y.
what is the answer
The answer is:

You can use an equation to make a prediction from a pattern by identifying a mathematical relationship between the pattern's variables and expressing that relationship in the form of an equation. Once the equation is established, you can then substitute known values from the pattern into the equation to predict the value of an unknown variable or make future predictions based on the pattern.
Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.
(2 points)
Table:

Number of Slices | Total Cost
-------------------------------------
1 | $1.50
2 | $3.00
3 | $4.50
4 | $6.00
...

Equation:

Let "x" represent the number of slices bought, and "y" represent the total cost. Based on the given information, the equation can be written as:

y = 1.50x

In this equation, "x" represents the number of slices of pizza bought, and "1.50x" represents the total cost in dollars.
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