WorksheetsHumphrey - A.2(C) Writing Linear Equations Given Various Representations
Total questions: 13
Worksheet time: 7mins
Name
Class
Date
1.
1. The graph of a linear function is shown on the grid. Which function is best represented by this graph?
a)
𝑨. 𝑦 = −2𝑥+4
b)
𝑩. 𝑦 = 2𝑥+4
c)
𝑪. 𝑦 = 4𝑥−2
d)
𝑫. 𝑦 = 4𝑥+2
2.
2. The table represents some points on the graph of the linear function 𝑓. Which function represents 𝑓?
a)
𝑭. 𝑓(𝑥) = −14(𝑥−2)+4
b)
𝑮. 𝑓(𝑥) = −10(𝑥−3)−10
c)
𝑯. 𝑓(𝑥) = −10(𝑥−1)+18
d)
𝑱. 𝑓(𝑥) = −14(𝑥+2)−60
3.
3. The table shows the percentage of battery power remaining on a laptop as a function of the time the laptop is used. Based on the table, which function models this situation?
a)
𝑨.
b)
𝑩.
c)
𝑪.
d)
𝑫.
4.
4. The ozone layer protects life on Earth from harmful levels of UV rays from the sun. After recognizing the harmful effects of ozone-depleting substances, countries around the world agreed to phase out those substances. In 1990, global emissions of ozone-depleting substances were approximately 1.32 million tonnes. Until 2000, the amount of ozone-depleting substances was decreasing at an average rate of 0.076 million tonnes. Which function can be used to find the amount of ozone-depleting substances in million tonnes 𝑥 years since 1990?
a)
𝑭. 𝑠(𝑥) = 0.076(𝑥−1.32)
b)
𝑮. 𝑠(𝑥) = 1.32+0.076𝑥
c)
𝑯. 𝑠(𝑥) = 1.32−0.076𝑥
d)
𝑱. 𝑠(𝑥) = −0.076(𝑥−1.32)
5.
5. The table represents some points on the graph of a linear function. Which equation represents the same relationship?
a)
𝑨.
b)
𝑩.
c)
𝑪.
d)
𝑫.
6.
6. The graph of a linear function is shown on the grid. Which equation is best represented by this graph?
a)
𝑭. 𝑦+9 = 2(𝑥−3)
b)
𝑮. 𝑦+5 = 2(𝑥−1)
c)
𝑯. 𝑦+3 = −2(𝑥−3)
d)
𝑱. 𝑦+1 = −2(𝑥+1)
7.
7. A lumber yard packages its contractor-grade 4" x 6" pieces of lumber in bundles of 12. From one of the bundles, only 5 of the 4" x 6" pieces of lumber pass quality control. All other bundles contain pieces that pass quality control. Which function shows the relationship between 𝑦, the total number of 4" x 6" pieces of lumber available at the lumber yard, and 𝑥, the number of complete bundles in the lumber yard?
a)
𝑨. 𝑦 = 7𝑥−12
b)
𝑩. 𝑦 = 7𝑥+12
c)
𝑪. 𝑦 = 12𝑥−5
d)
𝑫. 𝑦 = 12𝑥+5
8.
8a. Enter your answer for 𝑚.
(a)
9.
8b. Enter your answer for 𝑏.
(a)
10.
9a. Enter your answer below.
(a)
11.
9b. Enter your answer below.
(a)
12.
10a. Enter your answer for 𝑚.
(a)
13.
10b. Enter your answer for 𝑏.
(a)
100 %
