Illustrative Math Algebra

It is the dependent variable in the linear function.

• x

• y

• m

• b

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Are the points on the line part of the solution set or not? For example

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

How can I tell if the graph of an inequality will have a solid line?

• It has just an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7