SEM ALG 1_ Solution Sets to the two variable equations

There are 9 insects in a collection. The insects are butterflies, x, and Caterpillars, y.

Which of the set(s) below represent solutions to the equation?

• (-2, 11)

• (1, 8)

• (6, 3)

• (3, 4)

Given the statement below:

The sum of two positive whole integers is 6.

Graph all the solutions to this equation?

There are 15 pieces of candy in a jar. In the jar, there are peppermints, x, and Jolly Ranchers, y.

Type an equation that represents the situation.

Mathematical Equivalence

ON

A student wants to have 10 songs on his new playlist. He wants a mixture of pop songs and hip-hop songs.

Which of the following statements best represents the solutions to the scenario?

• The data will be on continuous since songs can be represented by integers.

• The data will be continuous because songs can be represented by rational numbers.

• The data will be discrete because songs can only be whole positive numbers.

• The data will be discrete because songs can be positive rational numbers.

Izzy's tablet has a combined total of 20 apps and movies. Let x represent the number of apps and y represent the number of movies.

which of the following could represent the number of apps and movies on Izzy's tablet.

Select all that apply.

• x + y = 20

• 7 apps and 14 movies

• x - y = 20

• y = -x + 20

• 8 apps and 12 movies

Courtney has a bowl with heart marshmallows, h and rainbow marsh mellows, r.

If she has a total of 30 mash mellows, then which equations listed below represent the situation?

• h - r = 30

• h + r = 30

• r = -h + 30

• hr = 30

• r = h- 30

A bog contains 50 nickels, x and quarters, y.

Which of the following represents solution sets for the number of possible nickels and quarters in the bag?

Select all that apply

• (10.5, 39.5)

• (31, 19)

• (-21, 71)

• (15, 35)

• (12, 40)