Enter Title

Translations

100

What is the rule for translating a point (x, y) 3 units right and 2 units up?

(x+3, y+2)

200

If point A is at (1, 2) and is translated left 4 units, what are the new coordinates?

(-3, 2)

300

Describe how the graph of the function f(x)=x changes when translated 5 units down.

f(x)=x-5

400

If point B is located at (2, 3), what are the new coordinates after translating it 4 units to the right and 2 units down?

(6,1)

500

Explain how you would translate the point (0, 0) three units to the left and four units up.

(-3,4)

Rotations

100

What is the result of rotating the point (1, 0) 90 degrees counterclockwise around the origin?

Answer: (0, 1)

200

Describe the effect of rotating a shape 180 degrees around the origin.

Each point (x, y) becomes (-x, -y).

300

If a triangle has vertices at (1, 2), (3, 2), and (2, 4), what are the new coordinates after a 90-degree rotation about the origin?

(-2, 1), (-2, 3), (-4, 2).

400

What are the coordinates of the point (3, 5) after a 90-degree rotation about the origin?

(-5, 3)

500

If point C is at (4, 1), what are the coordinates after rotating it 90 degrees clockwise around the origin?

(1, -4)

Reflections

100

What is the rule for reflecting a point across the y-axis?

(-x, y)

200

If point D is located at (4, 5), what are the coordinates after reflecting across the x-axis?

(4, -5)

300

If point E is at (2, 3), what are the coordinates after reflecting over the line y=x?

(3, 2)

400

What are the new coordinates of point F at (1, -2) after reflecting it over the y-axis?

(-1, -2)

500

If point G is at (-3, 4), what are the coordinates after reflecting over the x-axis?

(-3, -4)

Linear Equations

100

Solve for x in the equation 2x+3=11

x=4

200

What is the slope of the line represented by the equation y=−3x+7

The slope is -3

300

How would you graph the equation y=12x−1

Start at (0, -1) and use the slope to find another point.

400

Solve for y in the equation 3y−5=10.

y=5

500

What is the solution for x in the equation 4x+2=10

x=2

Exponential Equations

100

Solve for x in the equation 2^x=8

x=3

200

What is the value of f(x)=3⋅2^x when x=2?

f(2)=12

300

Solve the equation 3^x=9 for x.

Answer: x=2.

400

Solve for x in the equation 5^x=25.

x=2

500

What is the value of x in the equation 2^x=16?

x=4