Patterns
Solving Algebraic Equations
Scatterplots
Writing Algebraic Equations
Solving Algebraic Equations with decimals
100
Each time, the number increases by 2 more than the time before
These numbers follow a pattern, what is it? 4,6,10,16,24, 34
100
Solve the following equation using opposite operations and balancing out the equation (Must show the work) x - 4 = 18
x - 4 = 18 + 4 +4 ------ X = 22
100
Name point a on the scatterplot:
4, 9
100
Mrs. Stango has laffy taffy. When she wasn't looking, Mr. Stango swiped 10 from her. After that she only had 50 left!!! She was really mad.... How many did she start with. WRITE AN ALGEBRAIC EQUATION AND AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION!
L - 10 = 50 +10 +10 ----- ----- L = 60
100
SOLVE THE ALGEBRAIC EQUATION BY SHOWING OPPOSITE OPERATIONS/BALANCE THE y - 2 = 4.5
Y - 2 = 4.5 +2 +2 -------------- Y = 6.5
200
The pattern is that the x moves from the top left to the bottom left to the bottom right to the top right (counter clockwise)
These pictures follow a pattern, explain it in words:
200
Solve the following equation using opposite operations and balancing out the equation (Must show the work): 6n = 54
6n = 54 --- --- 6 6 n = 9
200
Name points b and c on the scatterplot:
b = -2, 5 c = 5, -2
200
Mrs. Hunt gave out many golden tickets to the 5th graders. She gave twice as many to the 6th grade. The 6th grade was give 48. How many were the 5th graders given? WRITE AN ALGEBRAIC EQUATION AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION!
t x 2 = 48 ---- ---- 2 2 t = 24
200
WRITE AN ALGEBRAIC EQUATION AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION! x + 3.5 = 9
x + 3.5 = 9 -3.5 -3.5 ---------------------- 5.5
300
What would the next number in the pattern be?
35 350 3,500 35,000
300
Solve the following equation using opposite operations and balancing out the equation (Must show the work): x --- = 9 9
x ---- = 9 9 9 x 9 = 81
300
Name points d, e, and f on the scatterplot:
d = 9, 9 e = -9, 9 f = 9, -9
300
Hayden put many ornaments on the Christmas tree. Five fell off and broke. There were 42 ornaments left on the tree. How many did Hayden put up originally? WRITE AN ALGEBRAIC EQUATION AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION!
o - 5 = 42 +5 +5 ---- ---- o = 47
300
WRITE AN ALGEBRAIC EQUATION AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION! y - 5 = 6.2
y - 5 = 6.2 +5 +5 ------------------ y = 11.2
400
Draw the 6h picture in the pattern and include the matching equation:
1 + 2 + 3 + 4 + 5 + 6 = 21
400
Solve the following equation using opposite operations and balancing out the equation (Must show the work): t - 5.6 = 3.4
t - 5.6 = 3 +5.6 +5.6 ---- ---- t = 8.6
400
Name points g,h,i,j
g= 0,0 h = 7,7 i = -2,2 j = 2,-2
400
Mrs. Stango had money in her pocket. When she was dancing to Usher, $0.35 fell out. When she got to McDonalds to get her double cheeseburger with extra pickles off of the dollar menu and a large fry, she only had $1.65 left. How much money did she have to start with?
m - .35 = 1.65 + .35 +.35 -------------------- m= $2.00
400
WRITE AN ALGEBRAIC EQUATION AND SOLVE IT BY SHOWING OPPOSITE OPERATIONS/BALANCE THE EQUATION! n + 6.7 = 11.5
n + 6.7 = 11.5 -6.7 -6.7 n = 4.8
500
Find the next 2 numbers in the pattern and tell the rule for the pattern 20, 45, 15, 40, 10, 35, 5, ____, _____
30, 0 The pattern increases by 25 and then decreases by 30
500
Solve the following equation using opposite operations and balancing out the equation (Must show the work): 6.5 + x = 13.4
6.5 + x = 13.4 - 6.5 -6.5 ------- ------ X = 6.9
500
Name point k,l,m,n,o on the scatterplot:
k = 0,7 l = -7,0 m = 0,-7 n = 7,0 0 = -7,-7
500
Mrs. Stango went on vacation with her family. She brought a mixed bag of 100 mini twizzlers and skittles. She ate 6 candies each day, which expression would help us find out how many skittles she had left after x days?
a. 100 - 6 x b. 100x c. 100 + 6x d 600x