Page 1
SWBAT… solve two-step equations
Agenda
1. Warm-up (10 min)
2. Review hw#3 (30 min)
3. Exit slip (5 min)
Warm-Up.
1.) Re-do the quiz problems you got wrong on the back of the quiz. Also, do the extra credit problem.
HW#4 – Mulit-step equations
Wed, 9/21
Page 2
1.)
2.)
865
1y
34
5
c
Page 3
SWBAT… solve multi-step equationsAgenda
1. Warm-up (10 min)
2. Review HW3 (15 min)
3. Solving multi-step equations w/ distr property and CLT: 4 problems (20 min)
Warm-Up.
1.) If evaluate 4 – x
2.) Solve for x:
3.) Find three consecutive even numbers with a sum of 72
HW#4 – Multi-step equations
Thurs, 9/22
37
10
x
37
6 x
Page 4
SWBAT… solve multi-step equations
Agenda
1. Warm-up (15 min)
2. Review /work on hw#4 (20 min)
Warm-Up:
1.) 5(g + 8) – 7 = 103
2.)
HW#4 – Multi-step equations
Fri, 9/23
5
3
3k
9
Page 5
Solve each equation: List the steps:
1.) 5(g + 8) – 7 = 103
HW#4-Multi-Step Eqns
1. Distribute the 5
2. CLT: 40 – 7 = 33
3. Subtract both sides by 33
g = 14
4. Divide both sides by 5
Page 6
Solve each equation: List the steps:
2.)
HW#4-Multi-Step Eqns
1. Cross multiply 3(k+3) = 9(5)
2. Distribute the 3
3. Subtract both sides by 9
k = 12
4. Divide both sides by 3
5
3
3k
9
Page 7
6
5
23xx
Multiply both sides of the equation by 6
To remove fractions from an equation:Multiply both sides of the equation (EVERY TERM) by the least common denominator
1.)
Page 8
Solve each equation: List the steps:
b – 8b + 1 = -6
HW#4-Multi-Step Eqns
1. CLT: b – 8b = -7b
2. Subtract 1 from both sides
3. Divide both sides by -7
b = 1
Page 9
Solving linear equations using distributive property or combining like terms
Solve each equation: List the steps:
-(m + 1) = 11
HW#4-Multi-Step Eqns
1. Distribute the -1
2. Add 1 to both sides
3. Divide both sides by -1
m = -12
Page 10
SWBAT… solve multi-step equations with variables on both sides including fractions
Agenda
1. Warm-up (10 min)
2. Two equations with fractions (15 min)
3. Review / work on hw#4 (10 min)
Warm-Up:
1.) -6b + 1 = -3 + 2b
2.) 2(r + 4) – 2 = (12r + 18)
Back of LAST week’s agenda (week 7) (great practice for tomorrow’s quiz)
Tues, 9/26
3
2
Page 11
Solving linear equations involving fractions
3.)4
5
8
2
3xx
To remove fractions from an equation:Multiply both sides of the equation (each term) by the least common denominator
Multiply both sides of the
equation by 10 (each term)
x = 40
Page 12
Solving linear equations with variables on both sides involving fractions
4.)
To remove fractions from an equation:Multiply both sides of the equation (each term) by the least common denominator
Multiply both sides of the
equation by 12 (each term)
x = 1
6
5
23xx
Page 13
SWBAT… solve multi-step equations
Agenda 1. WU (10 min)2. Geometry problem with equations (5 min)3. Review HW#4 & back of agenda (10 min)4. Quiz (20 min)
Warm-Up: Solve:
1.) ½(12n – 4) = -(-14 + 10n)
2.)
Wed, 9/28
45
8
2
3nn
Page 14
Find the value of x so that the two rectangles have the same area.
x – 3
16
x
14
14(x) = 16(x – 3) x = 24
Page 15
Extra Credit: Complete on the back
Solve for y:
yy 2
55
4
Page 16
Homework over October break1. Back of this week’s agenda – week 8: Application of
Linear Equations (see “PPT7-Application Equations” for examples)
2. HW#6-Solving Algebraic Equations – No Solutions & Infinite Solutions (try it – see examples. Google “no solution equations”)
3. HW#7-Multi-step equations
4. HW#9 - Expressions & Equations Take Home Study Guide (Equations Test is the Friday after October break)
Page 17
HW#6-No Solutions & Infinite Solutions Answers
1. No Solution
2. No Solution
3. Infinite Solutions or All Real Numbers
4. No Solution
5. Infinite Solutions or All Real Numbers
6. No Solution
7. Infinite Solutions or All Real Numbers
8. No Solution
Page 18
HW#7-Multi-Step Equations Answers
1. Infinite Solution or All Numbers
2. Infinite Solution or All Numbers
3. No Solution
4. Infinite Solutions or All Numbers
5. b = -2
6. y = -4/3
7. m = 15
8. No Solution
Page 19
Directions:On your tablets, you will be solving
equations.You will have 1-3 minutes to solve
each problem (SHOW YOUR WORK – ALL STEPS!)
When you hear the timer go off, show me your tablets.
Page 20
1/15
What is the one country you would like to visit?
Page 21
2/15
a = 2
24
16
3
a
Page 22
3/15
-(a + 1) = ¾
a = -1¾ or -7/4
Page 23
4/15
p = 48
934
p
Page 24
5/15
k = 12
5
3
3k
9
Page 25
6/15
x = 1
6
5
23xx
Page 26
7/15
The sum of six and four times d is the same as d minus nine. Solve for d.
6 + 4d = d – 9 d = -5
Page 27
8/15
3(2k – 2) = -2(4k – 11)
k = 2
Page 28
9/15
3
1
6
5
6
1
3
2 qq
2
1q
Page 29
10/15
6(3a + 1) – 30 = 3(2a – 4)
a = 1
Page 30
11/15
Find three consecutive even integers whose sum is -42.
n + (n + 2) + (n + 4) = -42
n = -16
-16, -14, and -12
Page 31
12/15
x = 40
45
8
2
3xx
Page 32
13/15: Literal Equation
Given d = rt for t t = d/r
Solve for r r = d/t
Page 33
14/15: Literal Equation
Given y = mx + b solve for b
b = y – mx
Solve for mm = (y – b)/x
Page 34
15/15: Literal Equation
Given P = 2l + 2w solve for w
w = (P – 2l)/2
Page 35
Literal Equation
Solve 8x – 2y = 10 for y
y = 4x – 5