Question 1 (Multiple Choice Worth 2 points)
(05.06)
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Question 2 (Multiple Choice Worth 2 points)
(05.06)
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
The coordinate grid shows points A through K. Which points are solutions to the system of inequalities listed below?
2x + y < 10
2x − 4y > 8
E, F, G, H, J
E, F, G
A, C, D, K
A, E, F
Question 3 (Multiple Choice Worth 2 points)
(05.06)
The graph below represents which system of inequalities?
graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line.
y ≤ −2x + 3
y ≤ x + 3
y ≥ −2x + 3
y ≥ x + 3
y ≤ −3x + 2
y ≤ −x + 2
y > −2x + 3
y > x + 3
Question 4 (Multiple Choice Worth 1 points)
(05.06)
Choose the graph below that represents the following system of inequalities:
y ≥ −3x + 1
y ≤ 1 over 2x + 3
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Question 5 (Multiple Choice Worth 1 points)
(05.06)
Which of the following points lie in the solution set to the following system of inequalities?
y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)
Question 6 (Multiple Choice Worth 2 points)
(05.06)
The graph below represents which system of inequalities?
graph of two intersecting lines. One line is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.
y > 2x − 3
y > −x − 3
y < 2x − 2
y < −x + 3
y ≤ 2x − 2
y > −x + 3
None of the above
