Solve the following equations. 1. 2-a 4,10 a= = -10 +ip

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 8OE
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Solve the following equations.
-
1. 2-
4.10
x2-3
X
3
8
-10.
tip
10
+9
-2-4x
= -6
2
in di
3-3
3. Solve h = vt - 16t² for v.
h=vt-161²
V = Vt-1612
h
1-4x²9
5
-9
5x
N/
9=2
all
2
2. 4(x-2)-3(4x + 7) = 6x - 1
4x-8-12x-21 = 6x-1
6x +11
=
-8x1920 - 622129
4x-8
=
6x+28
4x = 8
-
4x
-8712+14 -67
+86X + 8
12+, 20.
9
48
t
20-28
34
4 X7
2
4. The length of the side of a rectangle is
1 more foot than twice its width. The
perimeter is 36 ft. Find the dimensions.
12
6
zw t
6
Solve the inequalities. Write the solution set using interval notation, then graph the solu
6. 2(4y - 3) ≥7(y + 4)
5.7-x<9
28
-28
84-6274+
-28
84-347/74
+8
2
12
= 2LXW
The dimension is bf 12 inches
24
·bw + 2
2
16-347/16
= 34=7/16-6
28
-14
w
2W +1
= 3434
2
Transcribed Image Text:Solve the following equations. - 1. 2- 4.10 x2-3 X 3 8 -10. tip 10 +9 -2-4x = -6 2 in di 3-3 3. Solve h = vt - 16t² for v. h=vt-161² V = Vt-1612 h 1-4x²9 5 -9 5x N/ 9=2 all 2 2. 4(x-2)-3(4x + 7) = 6x - 1 4x-8-12x-21 = 6x-1 6x +11 = -8x1920 - 622129 4x-8 = 6x+28 4x = 8 - 4x -8712+14 -67 +86X + 8 12+, 20. 9 48 t 20-28 34 4 X7 2 4. The length of the side of a rectangle is 1 more foot than twice its width. The perimeter is 36 ft. Find the dimensions. 12 6 zw t 6 Solve the inequalities. Write the solution set using interval notation, then graph the solu 6. 2(4y - 3) ≥7(y + 4) 5.7-x<9 28 -28 84-6274+ -28 84-347/74 +8 2 12 = 2LXW The dimension is bf 12 inches 24 ·bw + 2 2 16-347/16 = 34=7/16-6 28 -14 w 2W +1 = 3434 2
(V
problems 11, 12 & 13, identify the x-intercept, y-intercept, and slope, and sketch the graph on
rach page.
71. 3x+2y=6
slope = 3-0
0-2
<f
30
O
m/all
-2(0)-2
-2 (1)-2
1(-2)-2
Y ==2x+1=0
x intercept = 3
Y intercept = 12
14.
Give the equation of the line through (-2,
3) that has slope m = 1.
7
X = 0 1 Y = 44/3
4:0/
X
4
Graph the inequality 2x-3y <12.(use
-12
sh)
-122
10-34
X
DINH
slope =-5
4
4
Y = - 3
pe = 4
X
4
Y = 2x-3 = 0
Y = 0
X-4
15. Give the equation of the vertical line
through (2,-3).
2(0) = 2 - 3(0) = -3
2 (1)=2 - 3(1) = -3
Y = 0
x
Yintercept = 0
2 intercept = -4
17. Graph the inequality y ≤-2x+1.(use
graph)
S
уси
x=0
20-34 = 12
-3y = 242
Y = 1+4 (0,4) -1
2x-30
Transcribed Image Text:(V problems 11, 12 & 13, identify the x-intercept, y-intercept, and slope, and sketch the graph on rach page. 71. 3x+2y=6 slope = 3-0 0-2 <f 30 O m/all -2(0)-2 -2 (1)-2 1(-2)-2 Y ==2x+1=0 x intercept = 3 Y intercept = 12 14. Give the equation of the line through (-2, 3) that has slope m = 1. 7 X = 0 1 Y = 44/3 4:0/ X 4 Graph the inequality 2x-3y <12.(use -12 sh) -122 10-34 X DINH slope =-5 4 4 Y = - 3 pe = 4 X 4 Y = 2x-3 = 0 Y = 0 X-4 15. Give the equation of the vertical line through (2,-3). 2(0) = 2 - 3(0) = -3 2 (1)=2 - 3(1) = -3 Y = 0 x Yintercept = 0 2 intercept = -4 17. Graph the inequality y ≤-2x+1.(use graph) S уси x=0 20-34 = 12 -3y = 242 Y = 1+4 (0,4) -1 2x-30
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