Rational Numbers
−5+3(−4)
−17
A $240 video game console is on sale for 25% off.
What is the sale price?
$180
The area of a triangle is 84 square units. The base is 12 units. What is the height?
14 units
Point P(−6,4) is translated 3 units right and 5 units down. What is P′?
P′(−3,−1)
Point (3,−2)(3, -2)(3,−2) is dilated by a scale factor of 2 about the origin.
What is the image?
(6,−4)
−2−[4−(−6)]
−12
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
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
Point A (5,−2) is reflected over the x-axis. What is A′?
A′(5,2)
Point (−4,5) is dilated by a scale factor of 1/2 about the origin.
What is the image?
(-2, 2.5)
7/12 - (-5/18)
31/36
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
A rectangular prism has dimensions 4 units, 6 units, and h units.
The volume is 240 cubic units.
Find h.
10 units
Point B (−3,7) is reflected over the y-axis. What is B′?
B′(3,7)
A segment is 8 units long.
After a dilation, it measures 20 units.
What is the scale factor?
2.5
-1.5 + 3/4 - (-2.25)
1.5 or 3/2
A shirt is marked up 30% from its original price.
The new price is $78.
What was the original price?
$60
Two parallel lines are cut by a transversal.
One angle measures 4x+104x + 104x+10.
Its corresponding angle measures 6x−206x - 206x−20.
Find the value of x.
Find the measure of the angles.
x = 15
Each angle measures 70°
Point C (4,−1) is rotated 90° counterclockwise about the origin. What is C′?
C′(1,4)
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.
-3/4 + 5/6 - (-7/8)
23/24
After a 25% discount, a pair of shoes costs $90.
What was the original price?
$120
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
Point D (2,−5) is transformed by the following steps:
reflect over the x-axis
rotate 180° about the origin
What is the final image of D?
(−2,−5)
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)