Review Linear Equations
1. Find the slope of the line for each of the following:
a) 𝑦 = 2𝑥 + 5
b) 𝑦 – 3 =
3
2
(𝑥 + 2)
c)
d) A(-2, 3) and B(3, 4)
2. Given the following slopes of a line:
Slope of line
Slope of a parallel line
Slope of a perpendicular line
5
−3
2
− 16
4
5
3. Graph the following :
𝑦 = 2𝑥 + 4
2𝑥 + 3𝑦 = 10
2
𝑦 + 2 = − (𝑥 + 5)
4. To join a gym, Frank pays a start-up fee of $89, plus a monthly fee of $25.
a) Write an equation for the total cost, C dollars, for n months at the gym.
b) Suppose Frank went to the gym for 15 months. What would the total cost be?
c) Suppose the total cost was $314. For how many months did Frank use the gym?
3
5. Write an equation of a line for the following:
5
a) m= 5, y-int = -9
b) goes through the point (-2, 5) and has a slope of
c) goes through the points (-3, 2) and ( 5,4)
d) goes through the point (9, 10) and is parallel to 𝑦 = 2𝑥 + 3
6. Write the following equations in standard form:
a) 𝑦 =
2
3
𝑥 + 5
b) 𝑦 = −4𝑥 + 5
7. Write the equation of the following lines:
8. State the domain and range of each relation and determine if the relation is a function.
a)
b)
c)
2
d)
e)
f)
9.
10. For 𝑓(𝑥) = 3𝑥 − 2, find:
a)𝑓(3)
11. For 𝑓(𝑥) = −5𝑥 + 2
a) 𝑓(𝑥) = −3
b)𝑓(−4)
b) 𝑓(𝑥) = 7
c)𝑓(2𝑥 − 1)
c)𝑓(𝑥) = −12