smc-3151-40-Cartesian plane

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-J3-CA16

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-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-F3-CA19

Saroo is drawing a repeating pattern on this grid.

Which of these points will be part of Saroo's pattern?

`(18, 1)`	`(19, 4)`	`(23, 5)`	`(24, 2)`

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`(23, 5)`

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Algebra, NAP-B3-NC13

Jamie is drawing a square on this grid.

He has drawn two corner points as shown.

Jamie draws the third corner at (5, 6).

Where will the other corner of the square be?

`(1, 2)`	`(2, 1)`	`(1, 6)`	`(2, 2)`

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`(1, 2)`

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`(1, 2)`

Algebra, NAP-I3-CA31

A Cartesian plane is shown.

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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`R\ text(is located where)\ \ x < 0 and y < 0`

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`R\ text(occurs when)`

`x < 0 and y < 0`

Algebra, NAP-I3-NC07

Point `Q` is translated down 3 units.

What are the new coordinates of `Q`?

`(4,5)`	`(1,2)`	`(7,2)`	`(4,−1)`

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`(4,−1)`

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`Q\ text(has coordinates)\ (4,2)`

`text(When translated 3 down, the)`

`ytext(-value decreases by 3.)`

`:.\ text{New coordinates are (4, −1)}.`

Algebra, NAP-I4-CA26

A Cartesian plane is shown.

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`

Algebra, NAP-I4-NC05

Point `A` is translated to the right 4 units.

What are the coordinates of the new position of point `A`?

`(2,−2)`	`(−2,2)`	`(6,2)`	`(2,6)`

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`(6,2)`

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`(6,2)`