On or Off the Line?

——————————————————————————————————————————————

Complete a Table of Combination of Coins.

Jada told Noah that she has $2 worth of quarters and dimes in her pocket and 17 coins all together. She asked him to guess how many of each type of coin she has.

(1). Complete this table that shows some combinations of quarters and dimes that are worth $2.

Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

(2). What does Point A represent? represent?

(3). How much money, in dollars, is the combination represented by Point A worth?

(4). Is it possible for Jada to have 4 quarters and 13 dimes in her pocket? Explain how you know.

(5). How many quarters and dimes must Jada have? 

(6). Explain your reasoning.

——————————————————————————————————————————————

Compare two Straight Line Graphs.

Clare and Andre are making signs for all the lockers as part of the decorations for the upcoming spirit week. Yesterday, Andre made 15 signs and Clare made 5 signs. Today, they need to make more signs.

Each person’s progress today is shown in the coordinate plane above.

(1). Based on the lines, mark the statements as true or false for each person.

——————————————————————————————————————————————

Matching Lines and Points to Their Coordinates.

(A). Study the graph below and match the lines to their coordinates.

——————————————————————————————————————————————

(B). Study the graph below and match the points to their coordinates.

——————————————————————————————————————————————

——————————————————————————————————————————————

——————————————————————————————————————————————

  • 4 toothpicks make 1 square
  • 7 toothpicks make 2 squares
  • 10 toothpicks make 3 squares

(1). Do you see a pattern?

(2). If so, how many toothpicks would you need to make 10 squares according to your pattern? 

(3). Can you represent your pattern with an expression?

——————————————————————————————————————————————

Write the other side of this equation so it’s true for all values of x:

(6– 10) – =

——————————————————————————————————————————————

Here is an equation below:

(1). What could you write in the blank so the equation would be true for: No values of ?

(2). What could you write in the blank so the equation would be true for: All values of ?

(3). What could you write in the blank so the equation would be true for: One values of ?