Systems of Linear Equations and Inequalities

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? 6x+7y=59 4x+5y=41 Enter your answer in the boxes.

(4,5)

What is the interval notation for the compound inequality? −2<x≤9 [−2,9) (−2,9] (−∞, −2) or [9, ∞) (−∞, −2] or (9, ∞)

(−2,9]

What is the solution to the inequality in interval notation? 5k+28<−4(k+2) (−∞, −4) (−∞, −4] (−∞, 4)

(−∞, −4)

What is the interval notation for the compound inequality? x≤−4 or x≥5 (−4,5) (−∞, −4] or [5, ∞) [−4,5] (−∞, −4) or (5, ∞)

(−∞, −4] or [5, ∞)

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

-8<x<-4

Solve for x. −3≤6x−9<39 Enter your answer, as one inequality, in the box.

1≤x<8

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 years

Freddy is 4 years older than 8 times his grandson's age. The sum of their ages is greater than 67. What is the youngest age Freddy's grandson can be? Enter your answer, as a whole number, in the box.

8 years

Which graph represents the inequality? 24x−8y≤16

https://static.k12.com/nextgen_media/assets/8080390-NG_AL2_SemA_03_UT_04.png

Which graph represents the system of inequalities? {y+3x≥2 {y+4≥1/2x

https://static.k12.com/nextgen_media/assets/8080396-NG_AL2_SemA_03_UT_28.png

Which graph represents the inequality? −42x−6y>24

https://static.k12.com/nextgen_media/assets/8080413-NG_AL2_SemA_03_UT_06.png

Which graph represents the system of inequalities? {y−1≤4x {y+x>−4 {y≤1/3x

https://static.k12.com/nextgen_media/assets/8080418-NG_AL2_SemA_03_UT_21.png

Which graph represents the system of inequalities? {y+3/4x<2 {y−1≥2x

https://static.k12.com/nextgen_media/assets/8080424-NG_AL2_SemA_03_UT_35.png

Which graph represents the system of inequalities? {−2x≤−3 {y−4≤−2x {y>−1/4x

https://static.k12.com/nextgen_media/assets/8080444-NG_AL2_SemA_03_UT_26.png

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. Notice the trash can is available if an error is made.

plot on -6 and 5 open for -6 and closed on 5 (no arrows) ○-●

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.

plot on 1/closed; arrow going to the left plot on 8/open; arrow going to the right

Solve for x. 1/8x−5<−8 or 7x−4≥38 Enter your answer, including the inequality symbol, in the boxes.

x<-24 or x≥6

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

x<3 or x>12

Enter an inequality that represents the graph in the box. https://static.k12.com/nextgen_media/assets/8122589-Alg2_SemA_U3_NP100_350.png

y≤3x-1

Enter an inequality that represents the graph in the box. https://static.k12.com/nextgen_media/assets/8080441-NG_AL2_SemA_03_UT_15.png

y≥4x-6

Which system of inequalities represents the graph? https://static.k12.com/nextgen_media/assets/8122594-Alg2_SemA_U3_DP100_353_002.png

{y+2x≤−8 {y+5>4x {-2x+7y≤7

Which system of inequalities represents the graph? https://static.k12.com/nextgen_media/assets/8080400-NG_AL2_SemA_03_UT_40.png

{y−6≤−11x {y+3x≥−4 {-2x+3y>15