Writing Algebraic Equations
If a pattern starts with 3 blocks and 2 blocks are added at each step, how many blocks will be in Figure 4?
9 blocks
3, 5, 7, 9
What are the next two numbers in this sequence: 7, 10, 13, 16,... ?
19, 22, 25
14 less than twice a number
2n - 14
2x + 5 = 15
What is the fastest land animal?
Cheetah
What is the 11th term value for the equation Y = 5x - 7?
48
For this pattern, what is the algebraic equation?
2, 4, 6, 8...
y = 2x
What is the coefficient, variable, and constant of this equation: 5x - 3
5: Coefficient
x: Variable
-3: Variable
p/2 = 15
P = 30
What is the name of Harry Potter’s pet owl?
Hedwig
For this pattern, how do we create an algebraic equation?
3, 7, 11, 15...
*explain steps*
Y = 2x + 1
What are the first three terms for this pattern:
Y = -4x + 1
-3, -7, -11
The product of a number and 37
37x
m/3 + 1 = -4
m = -15
Mount Everest is located on the border of which two countries?
Nepal and China
What term number is 52 for this equation:
Y = 10x + 2
5th term
Yes. 42 = 2x + 2
x = 20
Write an equation for the statement: The sum of m and 10 is equal to m multiplied by 4
m + 10 = 4m
x+3-4 / 2 = 10
x = 21
What part of the body helps you balance?
The patterns that go up by the same amount each time are called linear patterns. What would this pattern be called? Be specific.
1, 3, 6..
Quadratic
For a pattern, the 3rd term is 13 and the 7th term is 21. What are the 1st, 2nd, 4th, 5th, and 6th terms. What is the algebraic expression for this linear pattern?
9, 11, 13, 15, 17, 19, 21
y = 2x + 7
Write an equation for the statement: "Five times the difference of a number w and 7 is the same as the sum of the number w and 11.
5(w - 7) = w + 11
10x - 1 = 2x + 3
x = 1/2
Which ingredient is missing to make a basic chocolate chip cookie: all-purpose flour, butter, both granulated and brown sugar, vanilla extract, baking soda, and salt
Eggs