Complete the chart and determine the solution of the equation f(x) = g(x).
x = −1
x = 0
x = 1
x = 2
17.
The graph below shows two functions:
function f of x is a straight line which joins the ordered pairs negative 2.8, 16.4 and 3.5, negative 2.5. Function g of x is a curved line which joins the ordered pairs negative 1.9, 13.5 and 2.6, 0
Based on the graph, what are the approximate solutions to the equation −3x + 8 = (0.25)x?
1.9 and −2.6
8 and 2.6
1 and 2.6
−1.9 and 2.6
18.
The graph of two functions is shown.
graph of f of x equals x squared and g of x equals 2 times x minus 3
If f(x) = x2 and g(x) = 2x − 3, why is f(x) ≠ g(x)?
f(x) ≠ g(x) because the graphs do not intersect.
f(x) ≠ g(x) because the x-intercept of the two graphs is not the same.
f(x) ≠ g(x) because the y-intercept of the two graphs is not the same.
f(x) ≠ g(x) because f(x) is a curve and g(x) is a straight line.
19.
Which of the following inequalities matches the graph?
graph of an inequality with a solid vertical line through the point 5, 0 and shading to the left of the line
x ≤ 5
x ≥ 5
y ≤ 5
y ≥ 5
20.
Which inequality matches the graph?
X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded.
−2x + 3y > 7
2x + 3y < 7
−3x + 2y > 7
3x − 2y < 7
21.
In which quadrants do solutions for the inequality y is greater than one fifth times x plus 3 exist? (1 point)
I and II
I, II, and III
I, III, and IV
All four quadrants
22.
Lisa works two jobs to pay for college. She tutors for $21 per hour and also works as a delivery person for $16 per hour. Due to her class and study schedule, Lisa is only able to work up to 20 hours per week but must earn at least $195 per week. If T represents the number of hours Lisa tutors and D represents the number of hours she works as a delivery person, which system of inequalities represents this scenario? (1 point)
T + D ≤ 20
16T + 21D ≤ 195
T + D ≥ 20
16T + 21D ≥ 195
T + D ≤ 20
21T + 16D ≥ 195
T + D ≥ 20
21T + 16D ≤ 195
23.
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, can the company build 5 child bikes and 15 adult bikes in a 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
24.
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≥ −x − 4
(−5, 2)
(5, −2)
(−5, −2)
(5, 2)
25.
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y > −2x + 10
y > 1 over 2x − 2
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
E
K
B
D
