ACT Practice - Coordinate Geometry

ACT Practice - Coordinate Geometry

Assessment

Assessment

Created by

Tim Rondeau

Mathematics

10th - 12th Grade

50 plays

Hard

10 questions

Show all answers

1.

MULTIPLE CHOICE

2 mins • 1 pt

Which of these lines would be parallel to the line

 y2x=7y-2x=7  ?

2.

MULTIPLE CHOICE

2 mins • 1 pt

How many units is the diameter of a circle with equation

 (x2)2+(y4)2=64\left(x-2\right)^2+\left(y-4\right)^2=64  ?

3.

MULTIPLE CHOICE

2 mins • 1 pt

Which of the following gives the coordinates of the vertex of

 y=2x23y=2x^2-3  in the  xyxy  coordinate plane?

4.

MULTIPLE CHOICE

2 mins • 1 pt

In the xyxy  coordinate plane, if one takes the x-coordinate of a point in the first quadrant and a y-coordinate of a point in the third quadrant and multiplies them together, the answer will be:


5.

MULTIPLE CHOICE

2 mins • 1 pt

In an 8-inch by 8-inch checkerboard, each square has an edge length of 1 inch. What is the distance from one corner of the board to the other corner that is diagonally opposite of it?

6.

MULTIPLE CHOICE

2 mins • 1 pt

What is the slope of line y=3x+2y=-3x+2 if reflected across the x-axis?

7.

MULTIPLE CHOICE

2 mins • 1 pt

Media Image

The circle with a center C and the right triangle ABC intersect the x-axis at point B and the y-axis at point A.  The length of the hypotenuse of  ΔABC\Delta ABC   is  626\sqrt{2}  .  What is the equation of circle C?


8.

MULTIPLE CHOICE

2 mins • 1 pt

If g(t)=2t+2g\left(t\right)=2t+2 is graphed in the  xyxy   coordinate plane and is shifted up 3 units and to the left 4 units, what equation would represent the new function?



9.

MULTIPLE CHOICE

2 mins • 1 pt

A triangle is formed by the line x=3x=3 , which its longest side overlaps, and 2 other lines, one of which has a slope of 1 and the other of which is perpendicular to the line with the slope of 1.  Which of the following could be the lengths of the 2 shorter sides of the triangle?

10.

MULTIPLE CHOICE

2 mins • 1 pt

What is the closest approximation of the fraction of all points in the xyxy plane that would satisfy the expression y2x+1y\ge2x+1  or y12x1y\le-\frac{1}{2}x-1  ?

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