Vocabulary Review (All Units)
A set of equations that have the same variables
System of Equations
2(3x - 4) + 5
6x - 3
7(b + 2) + 4 = 7b + 17
No solution
(-5, 8), (0, 1)
-7/5
7x - 3y = -22
y = 6x
(2, 12)
A number that can not be written in the form of a/b
Irrational number
1/2(2x - 8) + 3x
4x - 4
-4(x - 8) - 7 = 13 - 7x
1 solution (-4)
(-3, -13), (-5, 9)
-11
y = -8x
-x - 3y = 23
(1, -8)
A way of expressing very large or very small numbers as a product of a number greater than or equal to 1 and less than 10 to the power of 10
Scientific Notation
9(3x + 4) - 6x - 8
21x + 28
-2 - (-4 + 4x) = 2 - 4x
Infinite Solutions
(-8, -18), (7, -18)
0
Julio bought 11 writing utensils for a total of $42. Pens cost $6 and pencils cost $2. How many of each writing utensil did he buy?
5 pens, 6 pencils
The ratio of the change in y-values for a segment of the graph to the corresponding change in x-values
Slope
3/4(4x + 8) - 7x
-4x + 6
3(n + 2) = 6 + 3n
Infinite Solutions
(18, -10), (16, -13)
3/2
A farmhouse shelters 30 animals. Some are pigs and some are ducks. Altogether there are 100 legs. How many of each animal are there?
10 ducks, 20 pigs
The y value when x is 0
y-intercept
6x(4 - 7) +6x - 8 + 4
-12x - 4
m + 7 = -7(-1 + m)
1 solution (0)
(-16, -3), (-16, -7)
Undefined
A class used cars and vans to go on a field trip because all of the buses were already in use. They used 8 vehicles to go on the trip. Each car holds 4 students and each van holds 13 students. If 50 students went on the trip, then how many of each type of vehicle did the class use?
6 cars, 2 vans