1. Is ( 0, 3) a solution to the equation y = x + 3?
Yes
No
2. Is ( 1, -4) a solution to the equation y = -2x?
Yes
No
3. Look at the following points:
( 4, 0)
( 3, -1)
( 6, 3)
( 2, -4)
Which are solutions to y = x - 4
(2 correct answers)
A. ( 6, 3)
B. ( 4, 0)
C. ( 3, -1)
D. ( 2, -4)
4. 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.
5. Give an example of an open equation
6. How can you use an equation to make a prediction from a pattern?
1. Yes
2. No
3. ( 4, 0) and ( 3, -1)
4. y=1.50x; y=total number of slices x= the amount of slices 1.50=the cost of one slice
5 and 6 I need help with
1.A
2.B
3.B,C
4.B
Well, an algebraic open equation (also known as an open sentence) is a mathematical equation that is neither true nor false. so an example of an open equation could be x + 3 = 7 or 2x = 12. Hope this helps with #5 :D
5. An example of an open equation is "x + 5 = 10" because it has a variable (x) that can take on different values to make the equation true. In this case, the value of x can be solved to be 5, but there are other possible solutions as well.
6. To use an equation to make a prediction from a pattern, you first need to identify the pattern and then create an equation that represents it. For example, if the pattern is that the sum of the first n positive integers is given by the equation S = (n/2)(n+1), where S represents the sum and n represents the number of terms, you can use this equation to make predictions. Suppose you want to find the sum of the first 10 positive integers. You can plug in n = 10 into the equation and solve for S to predict the sum. In this case, S = (10/2)(10+1) = 55, so the predicted sum is 55.