Name: ________________________________ Block: _____ Date: __________________
Algebra 2 - Chapter #2 Practice Exam
Write an equation in point-slope form for the line through the given point with the given slope.
1. (9, –10); m = 
1
4
2. A line passes through (8, –5) and (9, 3).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Use a graphing calculator to find the equation of the line of best fit for the data. Find the value of the
correlation coefficient r.
3.
Average Speed (mi/h)
Time (hours)
8.5
2.5
7.5
3.75
6.5
4.5
6.0
5.0
5.5
5.5
5.0
6.25
4.0
6.75
3.5
8.75
Graph each equation by translating y = | x |.
4. y = | x + 1 | + 2
5. Make a mapping diagram for the relation.
{(–1, 0), (1, 4), (2, –1), (4, 5)}
6. Find the domain and range of the relation and determine whether it is a function.
y
4
2
–4
–2
O
–2
–4
2
4
x
Name: ________________________________ Block: _____ Date: __________________
7. For
,
.
8. Suppose
and
Find the value of
.
.
9. Graph the equation
.
10. Graph the equation –2x – y = –4.
Find the slope of the line through the pair of points.
11. (7, 12) and (2, 8)
1 1
2
12. ( , ) and ( , 0)
2 2
3
Write in standard form an equation of the line passing through the given point with the given slope.
13. slope = 9; (1, 0)
14. slope =
; (3, –5)
15. Find the point-slope form of the equation of the line passing through the points (–5, 0) and (1, –3).
Find the slope of the line.
16.
17.
18.
y
4
2
–4
–2
O
–2
–4
2
4
x
Name: ________________________________ Block: _____ Date: __________________
19. A balloon takes off from a location that is 177 ft above sea level. It rises 62 ft/min. Write an equation to
model the balloon’s elevation h as a function of time t.
20. A new candle is 8 inches tall and burns at a rate of 2 inches per hour.
a. Write an equation that models the height h after t hours.
b. Sketch the graph of the equation.
21. Graph the set of data. Decide whether a linear model is reasonable. If so, draw a trend line and write its
equation.
{(1, 7), (–2, 1), (3, 13), (–4, –3), (0, 5)}
Graph the absolute value equation.
22.
23.
24. What is the vertex of the function
25. Write two linear equations you can use to graph
?
.
Name: ________________________________ Block: _____ Date: __________________
Algebra 2 - Chapter #2 Practice Exam
Answer Section
1
1. ANS: y + 10 =  (x – 9)
REF: 6-4 Point-Slope Form and Writing Linear Equations
4
2. ANS: y + 5 = 8(x – 8); –8x + y = –69
REF: 6-4 Point-Slope Form and Writing Linear Equations
3. ANS: y = –1.11x + 11.83; r = –0.9760964904
REF:
6-6 Scatter Plots and Equations of Lines
4. ANS:
y
REF: 6-7 Graphing Absolute Value Equations
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
5. ANS:
REF: 2-1 Relations and Functions
–1
0
1
4
2
–1
4
5
6. ANS: Domain: x > 0; range: y > 0; yes, it is a function.
7. ANS: 13
4
8. ANS: 2
9
REF: 2-1 Relations and Functions
REF: 2-1 Relations and Functions
REF: 2-1 Relations and Functions
Name: ________________________________ Block: _____ Date: __________________
y
9. ANS:
REF:
2-2 Linear Equations
4
2
–4
O
–2
2
4
x
–2
–4
10. ANS:
REF:
y
2-2 Linear Equations
12
8
4
–12
–8
–4 O
–4
4
8
12 x
–8
–12
11. ANS:
12. ANS:
13. ANS:
14. ANS:
15. ANS:
16. ANS:
17. ANS:
18. ANS:
19. ANS:
4
5
3
–9x + y = –9
5
5
x+y=
2
2
1
y – 0 =  (x + 5)
2
2

3
2
undefined
h = 62t + 177
REF:
2-2 Linear Equations
REF:
REF:
2-2 Linear Equations
2-2 Linear Equations
REF:
2-2 Linear Equations
REF:
2-2 Linear Equations
REF:
2-2 Linear Equations
REF:
REF:
REF:
2-2 Linear Equations
2-2 Linear Equations
2-4 Using Linear Models
Name: ________________________________ Block: _____ Date: __________________
20. ANS:
t
15
10
5
0
5
10
15 h
REF:
2-4 Using Linear Models
REF:
2-4 Using Linear Models
REF:
2-5 Absolute Value Functions and Graphs
21. ANS: yes;
y
12
8
4
–4
O
4
8
12
x
–4
22. ANS:
y
16
12
8
4
–8
–4
O
–4
4
8
x
Name: ________________________________ Block: _____ Date: __________________
23. ANS:
4
–8
–4
O
REF:
y
4
8
2-5 Absolute Value Functions and Graphs
x
–4
–8
–12
–16
24. ANS: (3, 2)
REF:
2-5 Absolute Value Functions and Graphs
25. ANS:
REF:
2-5 Absolute Value Functions and Graphs