Angles
What do you call two adjacent angles whose measures add up to 90 degrees?
Complementary Angles
Write an equivalent expression to 3(x - 6).
3x - 18
Solve for x: x - 5 = -4
x = 1
On the graph of an inequality, a circle that is shaded tells us what?
≥ or ≤ (Greater than or equal to symbol or the less than or equal to symbol, and the endpoint is included in the solution.)
Given a pair of Complementary angles where one angle measures 37 degrees, what is the measure of the other angle?
53 degrees
What do you call two adjacent angles whose measures add up to 180 degrees?
Supplementary angles
Simplify this expression: 4x - 3x + 4x - 2x
3x
Solve for x: 3x - 2 = -5
x = -1
Solve -3x > 6 for x. (Remember, the coefficient is negative.)
x < -2
If you divided both sides of an inequality by -4, what would happen?
Vertical Angles have measurements that are ________?
Congruent (the same)
Factor the following expression: 5x - 40
(Write it as a number times two terms in parentheses)
5(x - 8) or 5 times the sum of "x" minus eight.
Solve for x: (2/3)x = 10
x = 15
The graph of an inequality has a shaded circle above 4 with an arrow running to the left. What inequality would represent this situation?
"x" is less than or equal to 4, or x≤4
John has $55. He buys 6 books. Each book costs the same amount, b. He now has $10.
Write an equation that represents this situation.
55 = 6b + 10
Angle ABC and Angle CBD are Supplementary. If the measure of Angle ABC is 115 degrees, what is the measure of Angle CBD?
65 degrees
Simplify: 2(3a+2b−7)
6a + 4b - 14
Solve for x: -4x - 29 = -5
x = -6
What happens if you multiply or divide both sides of an inequality by a negative number?
The inequality symbol reverses.
A plumber charges a one-time fee of $75 plus a fixed hourly rate, h, in dollars. The plumber works at a customer’s house for 2 hours and charges a total of $205.
Write an equation to represent this situation.
75 + 2h = 205
Angle ABC and Angle CBD are Complementary. If the measure of Angle ABC is 48 degrees, what is the measure of Angle CBD?
42 degrees
Simplify: 56x+40y-48z
8(7x+5y-6z)
Solve for x: 7x - 5 = 163
x = 24
Solve this inequality for x: 5x - 2 ≤ -2
x ≤ 0
Solve for x: 4x + 7 = 14x +2
x = 1/2