1. let 2, 6 and 4,2 . ab find file03/08/2016 · 8. tell whether the equations have // gr aphs,...
TRANSCRIPT
Chapter 1 Review
2 2
2 1 2 1
2 24 2 2 6
4 64 68
2 68
2
2 34
17
17
AB x x y y
1. Let 2, 6 and 4, 2 .
Find
A B
AB
1 2 1 2,2 2
6 4 ,
23,
22
x x y yM
Chapter 1 Review
2. Let 2, 6 and 4,2 .
Find the midpoint of
A B
AB
2 14
8 2 14
2 6
4 2
3
a
a
a
a
Chapter 1 Review 3. If the point 4, 2 lies on the line 2 14, find
the value of .
x ay
a
18 3 12x y
Chapter 1 Review
{2 3 2x y
6 4x y 4. Solve
2 3 2x y
20 10
1 1 1 ,1
2 2
x
x y
6 41
2y
3 4y
Chapter 1 Review
5. Sketch 2 3 2 and 6 4 and label
the intersection point.
x y x y
6. Find the slope of the line 4 2 7.
2 4 7
7 2
2
2
x y
y x
y x
m
Chapter 1 Review
7
2b
7. Find the -intercept of the line 4 2 7.
2 4 7
7 2
2
7
2
y x y
y x
y x
k
Chapter 1 Review
8. Tell whether the equations have // graphs,
graphs, or neither.
3 3 & 6 4 10 0
2
4 6 10
3 5 //
2 2
y x x y
y x
y x
Chapter 1 Review
Chapter 1 Review
9. Tell whether the equations have // graphs,
graphs, or neither.
2 3 1 & 6 4 10 0x y x y
3
2m
2
3m
10. Tell whether the equations have // graphs,
graphs, or neither.
3 2 3 1 & 3
2x y y x
3
2m
2
3m
Chapter 1 Review
2 1
2 1
1 1
11. Write an equation in point-slope form
of the line through 6, 2 and 3,1 .
3 1
9 3
1 1 3
3
1 2 6
3
y ym
x x
y y m x x y x
y x
Chapter 1 Reviewslope-intercept form)
𝑦 = 𝑚𝑥 + 𝑏
1 = −1
3−3 + 𝑏
𝑏 = 0
𝑦 = −1
3𝑥
1 1
12. Write an equation in point-slope form
of the line through 5,5 and // to
4 3 2.
4 3 4 2
3
4 5 5
3
x y
y x m
y y m x x y x
Chapter 1 Reviewslope-intercept form)
𝑦 = 𝑚𝑥 + 𝑏
5 = −4
35 + 𝑏
𝑏 =35
3
𝑦 = −4
3𝑥 +
35
3
13. Write an equation in standard form
of the line with -intercept 3 and
-intercept 5.
1
1 5 3 153 5
x
y
x y
a b
x yx y
Chapter 1 Review
slope-intercept form)
−3,0 (0, −5) 𝑚 = −5
3
𝑦 = −5
3𝑥 − 5
14. Write an equation of the vertical line
passing throug
4
h 4, 2 .
x
Chapter 1 Review
x
y
4, 2
15. Write an equation of the bisector of
the segment joining the points 7,0 & 1,8 .
4
3
4, 4
34 4
4
m
M
y x
Chapter 1 Review
x
y
3
4 44
y x
16. Working for 63 minutes, a teacher grades 7 exams.
Give a linear equation that models the number of
exams as a function of time.
How long will it take to grade 23 exams?
1( )
9
123
9
E m m
m
207 minutes or 3 hours and 27 minutes
m
Chapter 1 Review
Exams per minute
Express in form.
17. 50 8 5 2 2 2 0 3 2
a bi
i i i
Chapter 1 Review
1 25 2 1 4 2
2 2
Express in form.
18. 2 3 4 12 9 5 12
a bi
i i i i
Chapter 1 Review
2 3 2 3i i
2
Express in form.
119.
2 3
1 2 3 2 3 2 3
2 3 2 3 13 134 9
a bi
i
i ii
i i i
Chapter 1 Review
Express in form.
320.
3
3 2 3 13 3
3 13 3
1 3
2 2
a bi
i
i
ii i
i ii
Chapter 1 Review
Express in form.
21. 4 3 2 5 1
12 8 5 5 7 13
a bi
i i
i i i
Chapter 1 Review
Chapter 1 Review222. Find the discriminant of 3 2 2 0 and then solve
by whiche
4 4 3 2
ver method seems easiest.
2 20 1 20 1 2 5
6 3 6 3 6
20
x x
i
2
4
2
Quadratic Formula
b b acx
a
2 4b ac
no roots
1 5
3 3
ix
2
2
2
23. Sketch the graph of each parabola. Label the vertex, the axis
of symmetry, and the intercepts.
8 2 1 1,8 : 1
-intercept: 8 2 1 0,6
-intercepts: 8 2 1 4
a y x vertex axis x
y
x x x
2
1 1 2 1,3x
Chapter 1 Review 0x 0y
2
ky a x h
1,8
1x
0,6
1,0 3,0
Chapter 1 Review
2
23. Sketch the graph of each parabola. Label the vertex, the axis
of symmetry, and the intercepts.
6 5 : 3, 4 : 32
-intercept: 5
-intercepts: 1 5 1,5
bb y x x vertex axis x
a
y y
x y x x x
Chapter 1 Review
224. Sketch the graphs of 2 2 and 4 1.
Find the coordinates of any points of intersection.
x y y x x
Chapter 1 Review
2
25. A photo processsing lab lists the following prices for reprints:
$0.29 for a 3x5 print; $0.39 for a 4x6 print; and $0.55 for a 5x7 print.
(a) Find a quadratic function of the form f x ax b
that models the
cost in cents per print in terms of the smaller dimension of the print size.
(b) Using this model, find the approximate price of a 7x9 print.
x c
07 $1. 5C
Chapter 1 Review
26. Solve 9𝑥2 − 4𝑥 = 0
𝑥 9𝑥 − 4 = 0
𝑥 = 0 9𝑥 − 4 = 0
𝑥 = 0 𝑥 =4
9
Chapter 1 Review
27. Solve 𝑥2 + 10𝑥 + 3 = 0
𝑥 =−10 ± 100 − 4(1)(3)
2=−10 ± 88
2
=−10 ± 2 22
2= −5 ± 22