2.3 Writing Linear Equations

​2.3 Writing Linear Equations

Multiple Choice

How many squares be in the 6th figure?

• 37 squares

• 31 squares

• 7 squares

• 25 squares

Open Ended

Describe the pattern. (How is it changing?)

Multiple Choice

How many squares are in figure 0?

• 7 squares

• 0 squares

• 1 square

• 6 squares

Open Ended

How did you find how many squares were in figure 0?

Multiple Choice

Write an equation to model the number of squares, y, that are in figure x.

• y=6x+1

• y=x+6

• y=x-6

• y=-6x+1

Linear Equations in Slope-Intercept Form

When something changes at a constant rate, like the pattern from the intro activity, we can write a linear equation to model how it changes. In this activity, you’ll learn how to write linear equations using one form called slope-intercept form. y=mx+b

Fill in the Blanks

Write and equation for the linear function.

slope: 7

initial value:38

Fill in the Blanks

Write and equation for the linear function.

slope: 15

initial value: -5

Labeling

What is the balance (y) on the missing boxes?

Drag labels to their correct position on the image

135

15

140

90

80

Multiple Select

What is the slope and initial value? What is the equation?

Choose 2 answers

• slope: -15

  Initial value: 135

• y=-15x+135

• slope: 135

  initial value: 15

• y=135x+15

Labeling

Andre has $157 in his checking account and earns $120 per week at his part-time job. Assume he has no expenses currently

Drag labels to their correct position on the image

2

3

balance ($)

157

1

277

397

number of weeks

0

517

Multiple Choice

Pick the equation that matches the table

• y=120x+157

• y=157x+120

• y=120x-157

Drag and Drop

Jackson has $650 in their account and uses their debit card to take out $40 cash each week. Their card has a $5 ATM fee.​

a) write an equation to express their balance, y, after x weeks.​

Placeholder

b) What will their balance be after 8 weeks?​ ​

Placeholder

c) After 8 weeks, how much will Jackson have paid in ATM fees alone?​ ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

y=40x+650

$970

$5

y=-45x+650

$290

$40