1.12 Unit Test: Systems of Linear Equations and Inequalities - Part 1

What is the solution to the system of linear equations? −8x − 7y = 96 −3x + 5y = −25

( -5, -8)

What is the interval notation for the compound inequality? −2 < x ≤ 9

(-2, 9]

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

1 ≤ x < 8

Which system of inequalities represents the graph?

3x + 5y ≤ 10 −x + y > −5 y − 6 > −5x

Henrietta is planting a new flower garden. She must have yellow and red rosebushes.Let x represent the number of yellow rosebushes and y represent the number of red rosebushes.She wants at least 4 times as many yellow rosebushes as red rosebushes. Each yellow rosebush costs $7.50 and each red rosebush costs $4.75. She can spend no more than $125. Select all of the constraints for this situation.

7.50x + 4.75y ≤ 125 y > 0 x ≥ 4y x > 0

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 system of inequalities? y + 34x < 2 y − 1 ≥ 2x

Biggest gray area facing towards the left.

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.

Closed end points, -7 to -2

Which graph represents the inequality? 18x − 3y < −21

Dotted line passing through ( -1, 0) and ( 0, 6)

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

Smallest triangle in the second quadrant.

Solve for x. 7x − 9 < 12 or 14x + 8 > 11

x < 3 or x > 12

Enter an inequality that represents the graph in the box.

y > -3x + 6