Linear Functions - Multiple Representations

Linear Functions - Multiple Representations

​AVID STAAR Algebra 1 Tutorials

Ms. Hoang

March 27th, 2023

linear relationships include: tables, graphs, equations, and context (word) problems.

Multiple Representations

Linear Relationships

Tables

Linear Relationships

Multiple Choice

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation?

• y = 30x + 100

• y = 20x + 120

• y = 120x + 120

• y = 50x + 100

Multiple Choice

What equation can be used to represent the relationship between the input (x) and output (y)?

• y = x + 4

• y = 3x

• x = y + 4

• x = 3y

Multiple Choice

Which equation matches the table? 

• y = x + 4

• y = 5x

• y = x - 4

• y = x + 16

Graphs

Linear Relationships

Multiple Choice

What equation represents this graph?

• y = 60x

• y = 40x

• y = 80x

• y = 20x

Multiple Choice

Which equation matches the graph? 

• y = 3x 

• y = x + 3

• y = ⅓x

• y = x - 3

Context (Word) Problems

Linear Relationships

Vocabulary:

Addition - Add, Sum, And, Plus. Combined, Increased by, More than, etc...

Subtraction - Minus, Difference, Less than, Decreased by, Remain, Fewer than, Take away, etc...

Multiplication - Time, Doubled, Tripled, Product of, Each, Per, etc...

Division - Divide, Equally, Half, Parts, Percent, Fraction of, etc...

Context (Word) Problems

Linear Relationships

Multiple Choice

To go to the park, it costs $4 plus $3 per child. Which equation shows this situation, where x represents the number of children?

• y=4x+3

• y=3x-4

• y= -4x+3

• y=3x+4

Multiple Choice

Write an equation for this situation.

• y=9.75x

• y=x + 19.25

• y=19.25x

• y=9.5x

Multiple Choice

Stella got a new internet plan.  The company charges her $0.15 for each minute plus a monthly fee of $40.  What equation would be used to calculate how much the cost is for her new internet plan?

• y=0.15x-40

• y=0.15x+40

• y=0.15-40x

• y=0.15+40x

Multiple Choice

Derrick started a new job at McDonald's. He makes $10 per hour. Which function models his total weekly earnings (W) in terms of the number of hours he works (t)?

• $$W\left(t\right)=10+t$$  

• $$t\left(W\right)=10+t$$  

• $$W\left(t\right)=10t$$  

• $$t\left(W\right)=10W$$  

Multiple Choice

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which equation models the amount she charges over time?

• $$y=50x$$

• $$y=20x+30$$

• $$y=30x+20$$

• $$20x+30y$$