Solving Equations
Solve for x:
x + 12 = 30
x = 18
These are two angles whose measures add up to exactly 90 degrees
Complementary angles
This transformation "slides" a figure to a new location without turning it or changing its size.
Translation
What is the square root of 81?
Simplify: 5x + 3x + 2
8x + 2
Solve for y:
4y = 48
y = 12
If Angle A and Angle B are supplementary and Angle A is 110°, what is the measure of Angle B?
70°
This is the only transformation that changes the size of a figure.
Dilation
Is pi a rational or irrational number?
Irrational
Simplify: 10y - 4 - 3y
7y - 4
Solve for a:
2a - 5 = 11
a = 8
These "opposite" angles are formed by intersecting lines and are always congruent
Vertical angles
True or False: Similar figures must have the same shape and the same size.
False - congruent figures have the same shape and same size. Similar figures have the same shape but different size.
If a line is perfectly horizontal, what is its slope?
0
Simplify: 2a + 7b - a + 3b
a + 10b
Solve for m:
m/3 + 7 = 10
m = 9
A triangle has two angles measuring 45° and 85°. What is the measure of the third angle?
50°
If you reflect the point (3, 5) across the x-axis, what are the new coordinates?
(3, -5)
What is the cube root of 27?
Simplify: 4(x+2) - 5x + 12
-x + 20
Solve for x:
3(x+2) = 21
x = 5
On a straight line, Angle A is equal to 4x and Angle B is equal to 2x. If they form a linear pair, what is the value of x?
x = 30
Triangle ABC is similar to Triangle DEF. If side AB is 6 and the scale factor to the larger triangle is 2.5, how long is side DE?
15
Between which two whole numbers does the square root of 50 fall?
Between 7 and 8
Simplify: 5w² + 3w - 2w² + 8 + 5w - 2
3w² + 8w + 6