2.14 Unit Test: Systems of Inequalities - Part 1

Question Graph the solution to the inequality on the number line. 4−2∣∣2x−1∣∣>−6

-2 to 3; circles empty

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.

-6 to five; -6's circle is UNFILLED while 5 is FILLED

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

-8 < x < -4

The vertex of a parabola is (−2,8) and its y-intercept is (0,4). The parabola is the boundary of a quadratic inequality. The boundary is drawn with a solid line, and the exterior of the parabola is shaded. What is the inequality represented?

1y≥−(x+2)2+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

Graph the solution to the inequality on the number line. x2−2x−3>0

Empty circles on -1 and 3; rays pointing out to -5 and 5

Micah's gym is moving into a bigger space, where he can have more stationary bicycles and treadmills. Micah needs both stationary bicycles and treadmills in his gym. Let x be the number of bicycles and y be the number of treadmills. The number of new bicycles must be more than 13 times the number of new treadmills. Each bicycle costs $340 and each treadmill costs $670. He must spend less than $5,650. Select all of the constraints for this situation.

X > 0 Y > 0 1 > 1/3y 340x+670y<5650

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 (DASHED line with shaded area to the LEFT)

Which graph represents the system of inequalities? {y+2<5x y+3x>4 y≥2x

https://static.k12.com/nextgen_media/assets/8122591-Alg2_SemA_U3_NP100_351_b.png (I can't describe this 😭)

Enter an inequality that represents the graph in the box. (SOLID line with shaded area to the RIGHT, y intercept is -1 and the slope is 3)

y ≤ 3x - 1

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