+
Plus/add/addition
-10 = 3x + 2x
X = -2
y = -2
4x -3y = 18
(3,-2)
Miss Mai has 26 apples, then eats 7 and gives 1 to Teacher Carissa. How many apples does she have left?
She has 18 apples left.
Simultaneous
To happen at the same time.
-
Minus/subtract/subtraction
c + 5 = -5c + 5
c = 0
-2x - 3y = -7
y = 6x - 11
(2,1)
Find the value of two numbers if their sum is 15 and their difference is 3.
x + y = 15
x - y = 3
9,6
What does "Multi-Step" mean?
To have more than one step to solve a problem.
=
Equals/total
2(4x - 3) -8 = 4 + 2x
x = 3
2x - 3y = -1
y= x - 1
(4,3)
The difference of two numbers is 3. Their sum is 13. Find the value of the numbers.
(5, 8)
The ________ are the values of the unknown variables which satisfy BOTH equations simultaneously.
Solutions/Answers
%
Percent
3v - 5 = -8(6 + 5v)
V = -1
-3x + 3y = 4
-x + y = 3
No solution
A boat travels 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water and the speed of the current?
Speed of the boat in still water: 26mph
Speed of the current: 2mph
Adding and Subtracting are examples of two operations. Give two more examples of operations.
Multiplying and Dividing.
( )
Bracket/parenthesis
8(1 + 5k) -2 = 76 + 5k
K = 2
x2 -3y = 16
x = y + 2
(-2,-4) or (5,3)
Matt and Ming are selling oranges. On the first day they sold 3 small boxes of oranges and 14 large boxes of oranges for $203. The second day they sold 11 small boxes of oranges and 11 boxes of large oranges for $220. Find the cost of one small box of oranges and one large box of oranges.
Small box = $7
Large box = $13
Simultaneous equations are best described as equations involving ______ unknown variables.
Two