Systems of Linear Equations and Inequalities - Part 1

What is the solution to the system of linear equations? −9x+4y=55 −11x+7y=82 Enter your answer in the boxes.

(-3,7)

What is the solution to the system of linear equations? −8x−7y=96−8x−7y=96 −3x+5y=−25−3x+5y=−25 Enter your answer in the boxes.

(-5,-8)

What is the interval notation for the compound inequality? x≤3 or x>7

(−∞,3] or (7,∞)

What is the interval notation for the compound inequality? x≤−4 or x≥5

(−∞,−4] or [5,∞)

Solve for x. −9<4x+3≤27 Enter your answer, as one inequality, in the box.

-3<x ≤ 6

Solve for x. −68<8x−4<−36 Enter your answer, as one inequality, in the box.

-8<x<-4

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? Enter your answer, as a whole number, in the box.

24

Marty is 3 years younger than 6 times his friend Warren's age. The sum of their ages is greater than 11. What is the youngest age Warren can be? Enter your answer, as a whole number, in the box.

3

Solve for x. 7x−9<12 or 14x+8>11 Enter your answer, including the inequality symbol, in the boxes.

<3 or >12

Plot the inequality on the number line. −7≤x≤−2 Choose the proper tool with the correct endpoints then click and drag the endpoints to the correct location. Notice the trash can is available if an error is made.

https://docs.google.com/document/d/1-8GPZBHgiUPrNNh2nF0hjy7Pxgmltw8c3w9QzWG7t8I/edit?usp=sharing

Plot the inequality on the number line. x≤1 or x>8 Choose the proper tools with the correct endpoints then click and drag the endpoints to the correct location. Notice the trash can is available if an error is made.

https://docs.google.com/document/d/1xztKqTiDb75DzOZQhEmOZ6B5ehsRjsnAuJuYuJG3y54/edit?usp=sharing

Solve for x. 9x+4≤58 or 16x−2>3 Enter your answer, including the inequality symbol, in the boxes.

≤6 or > 30