AFDA – Unit 1: Linear Functions – Part 1
Unit Review
Name: ____________________
Block: _____ Date:__________
Solve each of the following. Graph the inequalities.
1. 3(𝑤 + 3) = −15
2. 2(𝑦 + 1) − 5 = 7
3. 3 = 5𝑥 + 12
4. −1 =
5.
𝑥
6
< −2
𝑎
7
+8
6. 3(2𝑥 − 4) ≥ −10
7. 3𝑥 + 5 ≤ −4𝑥 − 2
8. −53 < 9𝑣 + 1 < −26
9. 𝑥 + 1 ≥ 3 𝑜𝑟 6 + 𝑥 < 4
10. 5𝑥 − 10 < 5(𝑥 − 3)
Directions: Consider the relation when answering the questions 11 and 12.
11.
{(2, 5), (0, 3), (4, 1), (0, 5), (6, 1)}
a. Construct a mapping diagram using the above ordered pairs.
b. What is the domain and range of the relation?
c. Is the relation a function, why or why not?
12.
{(5, 2), (3, 0), (1, 4), (5, 0), (1, 6)}
a. Construct a mapping diagram using the above ordered pairs.
b. What is the domain and range of the relation?
c. Is the relation a function, why or why not?
Evaluate the following expressions.
𝑔(𝑥) = −3𝑥 + 1
𝑓(𝑥) = 𝑥 2 + 7
13. 𝑔(10) =
14. 𝑓(3) =
12
𝑥
15. ℎ(−2) =
ℎ(𝑥) =
𝑗(𝑥) = 2𝑥 + 9
16. 𝑗(7) =
Find the slope of the line going through the following points. Determine whether
the line is increase, decreasing, horizontal, or vertical.
17. (1, -19) and (-2, -7)
18.(17, -13) and (17, 8)
19. Determine if the line that pass through the following sets of points are
parallel, perpendicular, or neither.
Line a: (12, -18) and (-15, -18)
Line b: (4, 3) and (10, -1)
Write the equation of a line standard form.
1
21. 𝑦 = 4𝑥 − 2
20. 𝑦 = − 𝑥 + 4
2
Write the equation of a line in slope-intercept form.
22. Passes through (-1, 5), m = 2
23. Passes through (-2, 4) and (0, 6)
Write the equation of a line that is parallel or perpendicular to the given line and
passes through the given point.
4
24. Parallel to 𝑦 = − 𝑥 + 2; (5, -3)
5
26. What is the slope formula in symbols?
27. What is the slope in words?
25. Perpendicular to 𝑦 = −2𝑥 − 5; (4, -2)
28)
m = ___________
29)
m= ____________
30) You have decided to join a gym…way to be healthy! The gym you are
joining has an initial membership fee of $35 and a monthly rate of $25.
a. Write an equation that gives the total cost of belonging to the gym as a
function of the length of your gym membership (in months).
b. Find the total cost of belong to the gym for 9 months.