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Rational Numbers

100

−5+3(−4)

−17

200

−2−[4−(−6)]

−12

300

7/12 - (-5/18)

31/36

400

-1.5 + 3/4 - (-2.25)

1.5 or 3/2

500

-3/4 + 5/6 - (-7/8)

23/24

Percents and Proportions

100

A $240 video game console is on sale for 25% off.
What is the sale price?

$180

200

A map uses a scale of 1 inch : 12 miles.
Two cities are 3.5 inches apart on the map.
How far apart are they in real life?

42 miles

300

A restaurant bill is $90.
You leave a 20% tip.
Then you split the total evenly among 3 people.
How much does each person pay?

36

400

A shirt is marked up 30% from its original price.
The new price is $78.
What was the original price?

$60

500

After a 25% discount, a pair of shoes costs $90.
What was the original price?

$120

Geometry

100

The area of a triangle is 84 square units. The base is 12 units. What is the height?

14 units

200

A rectangular prism has a volume of 288 cubic units. Its length is 8 units and width is 6 units. What is the height?

6 units

300

A rectangular prism has dimensions 4 units, 6 units, and h units.

The volume is 240 cubic units.

Find h.

10 units

400

Two parallel lines are cut by a transversal.

One angle measures 4x+104x + 104x+10.
Its corresponding angle measures 6x−206x - 206x−20.

1. Find the value of x.

2. Find the measure of the angles.

x = 15
Each angle measures 70°

500

Two angles form a linear pair. One angle measures 3x−123x - 123x−12. The other measures 2x+222x + 222x+22. Find the value of x.

x=34

Rigid Transformations

100

Point P(−6,4) is translated 3 units right and 5 units down. What is P′?

P′(−3,−1)

200

Point A (5,−2) is reflected over the x-axis. What is A′?

A′(5,2)

300

Point B (−3,7) is reflected over the y-axis. What is B′?

B′(3,7)

400

Point C (4,−1) is rotated 90° counterclockwise about the origin. What is C′?

C′(1,4)

500

Point D (2,−5) is transformed by the following steps:

1. reflect over the x-axis

2. rotate 180° about the origin
   What is the final image of D?

(−2,−5)

Dilations

100

Point (3,−2)(3, -2)(3,−2) is dilated by a scale factor of 2 about the origin.
What is the image?

(6,−4)

200

Point (−4,5) is dilated by a scale factor of 1/2 about the origin.
What is the image?

(-2, 2.5)

300

A segment is 8 units long.
After a dilation, it measures 20 units.
What is the scale factor?

2.5

400

A triangle is dilated by a scale factor of 2 about the origin.

One vertex is at the origin.
What happens to that vertex after the dilation?

It stays at the origin.

500

Point A (4,6) is dilated by a scale factor of 2 about the center C (1,2).

What is the image of point A?

(7,10)