Equations from Patterns

Write the equation for the pattern of tiles. (y=mx+b)

• y=4x+6

• y=2x+4

• y=4x+2

• y=2x+6

Write an equation for the pattern of tiles. (y=mx+b)

• y=7x+2

• y=2x+7

• y=2x+9

• y=7x+9

Write the equation for the pattern of tiles. (y=mx+b)

• y=2x+3

• y=3x+2

• y=2x+1

• y=3x+1

Write the equation for the pattern of tiles. (y=mx+b)

• y=5x+5

• y=4x+5

• y=x+4

• y=4x+1

The ordered pairs shown on the coordinate plane below consist of the corresponding terms from two numerical patterns. Which two rules would generate these patterns?

• For x use the rule “Add 2” and the starting number 1. For y use the rule “Add 3” and the starting number 1.

• For x use the rule “Add 3” and the starting number 1. For y use the rule “Add 2” and the starting number 1.

• For x use the rule “Add 2” and the starting number 0. For y use the rule “Add 3” and the starting number 0.

• For x use the rule “Add 3” and the starting number 0. For y use the rule “Add 2” and the starting number 0.

What is the pattern in the linear equation y = 2x + 3?

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 2, and the constant term is 3.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 1, and the constant term is 0.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is -3, and the constant term is 2.

• The pattern in the linear equation y = 2x + 3 is that the coefficient of x is 5, and the constant term is 7.

Identify the pattern in the equation y = -4x + 5.

• The pattern in the equation y = -4x + 5 is that the slope is -4 and the y-intercept is 5.

• The pattern is that the slope is 0 and the y-intercept is 5.

• The pattern is that the slope is 4 and the y-intercept is -5.

• The pattern is that the slope is 5 and the y-intercept is -4.

Identify the pattern in the equation y = 6x + 1.

• The pattern in the equation y = 6x + 1 is that the slope is 1 and the y-intercept is 1.

• The pattern in the equation y = 6x + 1 is that the slope is 6 and the y-intercept is 1.

• The pattern in the equation y = 6x + 1 is that the slope is 6 and the y-intercept is 6.

• The pattern in the equation y = 6x + 1 is that the slope is 1 and the y-intercept is 6.

Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.

• b = 12(m)

• b= m +12

• b = m ÷ 12

• none of these

Write an equation that represents the relationship between the variables in the table.

• t=10d

• t=d-9

• t=10-d

• d=t+10