1.12 Unit Test Systems Of Linear Equations And Inequalities

Question: What is the solution to the system of linear equations?

−8x−7y=96

−3x+5y=−25

Answer: (-5, -8)

Question: Yolanda is 4 years younger than 3 times her daughter’s age. The sum of their ages is greater than 88.

What is the youngest age Yolanda’s daughter can be?

Answer: 24

Question: What is the interval notation for the compound inequality?

x≤−4 or x≥5

Answer: (−∞, −4] or [5, ∞)

Question: Plot the inequality on the number line.

−6<x≤5

Choose the proper tool with the correct endpoints then click and drag the endpoints to the correct location.

Answer: open circle at -6, closed circle at 5

Question: Solve for x.

−3≤6x−9<39

Answer: 1≤x<8

Question: Solve for x.

7x−9<12 or 14x+8>11

Enter your answer, including the inequality symbol, in the boxes

Answer: x<3 or x>12

Question: Which graph represents the inequality?

−42x−6y>24

Answer: https://static.k12.com/nextgenmedia/assets/8080413-NGAL2SemA03UT06.png

Question: Enter an inequality that represents the graph in the box.

https://lh3.googleusercontent.com/xj8Z2aJXA2qEiJG9FL91OvqDv5vjsj_St1CdtvKKYMSr5xWwRGXUhNf8KwS088RA6Eld-A=s85

Answer: y≤3x-1

Question: Which graph represents the system of inequalities?

y−1≤4x, y+x>−4, y≤13x

Answer: https://static.k12.com/nextgenmedia/assets/8080418-NGAL2SemA03UT21.png

Question: Which graph represents the system of inequalities?

y+3x≥2, y+4≥12x

Answer: https://static.k12.com/nextgenmedia/assets/8080396-NGAL2SemA03UT28.png