Extending & Using Patterns
Writing Expressions for Patterns
Comparing Function Representations
Simplifying Expressions
100
Draw the next design in the pattern
O O
O O
100
Write an expression for the number of gray squares in Design n
n + 1
100
Do the graph and table represent the same function? Explain why or why not
No because the table has the point (-1, 3), which is not on the graph
100
Simplify the expression 8x2 + 3x + 2x2 + 4
10x2 + 3x + 4
200
Draw the next design in the pattern
|__|
|__|__|
|__|__|__|
|__|__|__|__|
200
Write an expression for the number of triangles in Design n
2n + 2
200
Do the graph and table represent the same function? Explain why or why not.
Yes because all points listed in the table are shown on the graph
200
Simplify the expression 6(4x + 7) - 2x
22x + 42
300
10, the number of shaded tiles is always twice the design number
300
Write an expression for the number of dots in Figure n
n(n + 1) or n2 + n
300
Do the equation and the graph represent the same function? Explain why or why not.
No because for the equation, an x of 0 gives a y of 0. But on the graph, an x of 0 goes with a y of 2
300
Simplify the expression (3x + 2)(4x - 1)
12x2 +5x - 2
400
17, the number of white tiles is always 3 times the design number, plus 2
400
Write an expression for the number of dots in Figure n
4(n - 1) + 1 or 4n - 3
400
Does the equation f(x) = 4x / 2 represent the same function as this table? Explain why or why not.
Yes. For each x value, if you plug it into the equation 4x / 2, you get the y-value listed in the table.
400
Simplify the expression (3x + 2)2
9x2 +12x + 4
500
How many bacteria will there be after 4 hours?
48 bacteria
500
Write an expression for the number of people in row n
3n
500
Does the equation f(x) = x2 + 2x + 5 represent the same function as the table? Explain why or why not.
Yes. For each x value, if you plug it into the equation f(x) = x2 + 2x + 5 , you get the y-value listed in the table.
500
Simplify the expression (n + 2)2 + n2 - 4
2n2 + 4n