Equations and Inequalities
Solve for x:
x + 15 = 40
25
If 3 apples cost $1.50, what is the unit price per apple?
$0.50 per apple
What is the absolute value of -18?
18
What is the term for two angles whose sum is exactly 90 degrees?
Complementary Angles
This transformation "slides" a figure from one position to another without turning it.
Translation
Solve for y:
3y - 7 = 11
6
Solve the proportion:
4/5 = x/20
x = 16
Evaluate:
-12+(-5)-(-10)
-7
Two angles are supplementary. If Angle A is 115 degrees, what is the measure of Angle B?
65 degrees
If you reflect the point (3, 5) over the x-axis, what are the new coordinates?
(3, -5)
When graphing x > -2 on a number line, do you use an open or closed circle, and which direction does the arrow point?
Open circle, pointing right
A map has a scale of 1 inch = 50 miles. If two cities are 3.5 inches apart on the map, how many miles apart are they in real life?
175 miles
Multiply:
(-4)(-3)(-2)
-24
These types of angles are opposite each other when two lines intersect and are always congruent
Vertical Angles
This transformation creates a similar, but not congruent, figure by enlarging or shrinking it.
Dilation
Solve for w:
w/-2 + 5 = 10
-10
A $60 jacket is on sale for 25% off. What is the sale price?
$45
Convert the fraction 3/8 into a decimal
0.375
In a triangle, two angles measure 45 degrees and 60 degrees. What is the measure of the third angle?
75 degrees
A triangle has a vertex at (2, -4). If it is translated 3 units left and 5 units up, where is the new vertex?
(-1, 1)
You have $50. You buy a shirt for $12 and want to buy hats that cost $8 each. What is the maximum number of hats you can buy?
4 hats
A recipe requires 2 cups of flour for every 3 cups of sugar. If you use 7 cups of flour, how many cups of sugar do you need?
10.5 cups
A submarine is 200 feet below sea level. It ascends 75 feet, then drops 110 feet. What is its new elevation?
-235 feet or 235 feet below sea level
Angle x and Angle y are vertical angles. Angle x is represented by 2x+10 and Angle y is 50. Solve for x.
20
If a square located in Quadrant IV is rotated 180 degrees, in what Quadrant does it end up?
Quadrant II