warm up #4 #2 #1 the sum of twice a number and -6 is 9 more than the opposite of the number. find...
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Warm Up
#4
#2#1
The sum of twice a number and -6 is 9 more than the opposite of the number. Find the number.
#3
1 3x 12 9x3 2x 5 133
SolveSolveSolve
Warm Up
1 x2
#1 solve 1 3x 12 9x3
x 4 9x
4 8x
Warm Up#2
2x 5 133
solve
x 27
Warm Up#3 Solve
Warm Up#4 The sum of twice a number and -6 is 9 more than the opposite of the
number. Find the number.
the n rx umbe
Defi ne the variable Write an equation
2x 6 x 9 Solve
3x 15ASQx 5
5
Homework
Find the missing values and (if linear) write an equation for each function:
x 0 1 2 3 4 23y 7 11 15 19 23 27
x 0 1 2 3 4 10y -8 -2 3 7 10 12
x 0 1 2 3 4 23y 12 4 -4 -12 ? ?
Linear: _______ Equation: ___________
Linear: _______ Equation: ___________
Linear: _______ Equation: ___________
Practice Test 1
1.
2.
3.
Yes y = 4x + 7
No N/A
Yes y = -8x + 12
HomeworkPractice Test 1
Define a variable, write an equation and solve.
The sum of two numbers is 102. The second number is three less than two times the first. Find the numbers.
The perimeter of a selected triangle is 114 inches. If one side is 4 less than three times the first and the other is two less than twice the first, what are the lengths of each side?
4.
5.
1st # = x2nd # = 2x - 3
x + 2x – 3 = 1023x – 3 = 102
3x = 105
1st # = 352nd # = 67
1st side = x2nd side = 3x – 43rd side = 2x - 2
6x – 6 = 1146x = 120
1st side = 202nd side = 563rd side = 38
6.
7.
8.
Solve.
a = -9
b = -80
c = 5
Test PracticeFind the missing values and (if linear) write an equation for each function
x 0 1 2 3 4 17y -7 -4 -1 2 ? ?
(4, 5) and (17, 41)
y = 3x - 7
x 0 1 2 3 4 22y 9 5 1 -3 ? ?
(4, -7) and (22, -79)
y = -4x + 9
Test PracticeFind the missing values and (if linear) write an equation for each function
x 0 1 2 3 4 7y 64 32 16 8 ? ?
(4, 4) and (7, 1)
NOT linear – yes there is a pattern, but there is no constant rate of change
x 0 1 2 3 4 22y 17 19 21 23 ? ?
(4, 25) and (22, 61)
y = 2x + 17
Test PracticeDefine a variable, write an equation and solve.
Bubba is told to finish filling a huge library bookcase. The table below shows how many books are on the bookcase (b) after each minute (t) Bubba worked.
Time (t) 0 1 2 3 4 tBooks (b) 246 262 278 294 310 b
1. Write an equation (function) that describes the number of books (b) on the bookcase after t minutes
2. If the bookcase holds 902 books, how long will it take Bubba to fill it?
b = 16t + 246
902 = 16t + 246 656 = 16t 41 = t 41 minutes!
Test Practice
3 x 7 314
#1 #2
3 3 2x4 2 5#3
#4 #5 #6112 x 1 124
x 7 2x3 12 9 x 3 x 12
Test Practice#1
3 x 244
x 32
43
43
3 x 7 314
7 7
Test Practice#2
Test Practice#3
3 3 2x4 2 5
3 3 252 20 x4
15x 30 815x 22
22x 15
Test Practice#4 112 x 1 124
3x 12 12
3x 24x 8
Test Practice#5 x 7 2x3 12
x 7 2x1 122 3 4x 7 24x28x 7
7x 28
1x 4
Test Practice#6 9 x 3 x 12
9 x 3 x 12
x 6 x 12
6 2x 12
18 2x
9 x
9 x 31 x 12