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Algebra, NAP-A4-NC26

The graph of   `y = 2x-3`  will be drawn on this grid.

Which two points will the straight line pass through?

`C and D` `D and A` `B and D` `A and C`
 
 
 
 
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`A and C`

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`text(Solution 1)`

`y = 2x-3\ text(passes through)\ (0, -3)`

`text(with a gradient of 2.)`

`:. A and C`
 

`text(Solution 2)`

`A(-1, -5), \ B(1, -5), \ C(3, 3), \ D(-2, 1)`

`=>\ text(Only)\ A and C\ text(satisfy the equation)`

`\ \ y = 2x-3.`

Algebra, NAP-B4-NC18

The coordinates of point `A` are `(7, 5)`.
 

 
`AB` is parallel to the `y`-axis.

If  `AB = 3, BC = 4 and AC = 5`, what are the coordinates of point `C`?

`(3, 2)` `(2, 3)` `(1, 5)` `(5, 1)`
 
 
 
 
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`(3, 2)`

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`text(Coordinates of)\ C\ text(are):`

`(7 – 4, 5 – 3) = (3, 2)`

Algebra, NAP-J4-CA08

Bobby places a disc at  (4, −2).

He then moves the disc up 4 units.

What are the coordinates of the new position of the disc?
 


 

`text{(8,−2)}` `(4,2)` `text{(4,−6)}` `text{(0,−2)}`
 
 
 
 
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`(4,2)`

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`(4,2)`

Algebra, NAP-I4-CA26

A Cartesian plane is shown.
 

 naplan-2016-26

 
Select the correct statement below.

 
 `O` is located where `x = 0` and `y < 0.`
 
 `P` is located where `x < 0` and `y < 0.`
 
 `Q` is located where `x = 0` and `y > 0.`
 
 `R` is located where `x < 0` and `y < 0.` 
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`x < 0 and y < 0`

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`R\ text(occurs when)`

`x < 0 and y < 0`