Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step...
Transcript of Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step...
![Page 1: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/1.jpg)
CHAPTER 7
Solving Equations and Inequalities
![Page 2: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/2.jpg)
Chapter 7:
Solving Equations & Inequalities
� 7.2 - Solving Two-Step Equations
� 7.4 - Circles and Circumferences
�QUIZ 7A: on 7.2 and 7.4 ���� Friday 3/15
� 7.5 - Solving Equations with Variables of Each Side
� 7.6 - Solving Multi-Step Inequalities
� 7.7 - Writing Inequalities
�QUIZ 7B: on 7.5 - 7.7 ���� Friday 3/22
� 7.8 - Using the Metric System
� TEST on Chapter 7���� BLOCK 3/27 and 3/28
![Page 3: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/3.jpg)
Chapter 7.2 Solving Two-Step Equations
� Objective:
� To solve equations that involve more than one operation
� Warm-Up:
� P326 (1-10 ALL)
![Page 4: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/4.jpg)
Chapter 7.2 Solving Two-Step Equations
� Notes:
� Let’s Review…What’s an equation?
“Peal the onion” or Work outside ���� in.
1. c – 19 = 17
2. -3n + 8 = -7
3. 2 + 4m = 1
4. 3 = n - 3
4
![Page 5: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/5.jpg)
Chapter 7.2 Solving Two-Step Equations
� Your turn…
![Page 6: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/6.jpg)
Chapter 7.2 Solving Two-Step Equations
� Your turn…
![Page 7: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/7.jpg)
Chapter 7.2 Solving Two-Step Equations
�p336 (6–30 x 3)
�One Step Equations
�One-step equations with multiplication
�2-step equations
![Page 8: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/8.jpg)
7-4: Circles and Circumference
� Objective:� To find the circumference of a circle
� Warm-Up:1. 20 = 6x + 82. -10 – k = -363. 2y – 7 = 154. 15- 4g = - 335. 2.1 = 0.8 – z
6. -17 + �
�= 3
7.���
� 36
8. - 49 = �
+ 11
Answers:
1. x = 22. k = 263. y = 114. g = 125. z = - 1.3 6. t = 1007. k = - 1268. z = - 360
![Page 9: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/9.jpg)
7-4: Circles and Circumference
� Notes:
![Page 10: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/10.jpg)
7.4 Circles and Circumferences
� NOTES: Your Turn…Write the radius and then find the Circumference
Circumferences:
1. 9.42 cm
2. 25.12 mm
3. 3.14 cm
4. 12.874 dm
5. 160.328 m
6. 24.806 cm
![Page 11: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/11.jpg)
7-4 Circles and Circumference
� Notes:
� Fun With Pie
� Pi Poem (First 5 digits)
� Pi Chain (First 5 digits)
� Write a story about Sir
Cumference and the Round Table
� Cookie and Plate Challenge
� String and a Cup
� Shuffle Pi
![Page 12: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/12.jpg)
7-4 Circles and Circumference
� Notes:
π Sing the song “We Wish You a Happy Pi Day” by
Dianna sung to the tune of We Wish You a Merry
Christmas
We wish you a happy Pi Day
We wish you a happy Pi Day
We wish you a happy Pi Day
To you and to all
![Page 13: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/13.jpg)
7-4 Circles and Circumference
Oh, number Pi
Oh, number Pi
Your digits are unending,
Oh, number Pi
Oh, number Pi
No pattern are you sending.
You're three point one four
one five nine,
And even more if we had time,
Oh, number Pi
Oh, number Pi
For circle lengths unbending.
� Notes:
Sing O Number Pi: (to the tune of "Oh Christmas Tree")
![Page 14: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/14.jpg)
7-4 Circles and Circumferences
�P343 (6-28 EVEN) or Three Activities
�Radius diameter and circumference
![Page 15: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/15.jpg)
7-5 Solving Equations with Variables on Each Side
� Objective: To solve equations with variables on each side
� Warm-Up: Please solve each equation
1) -5a -18= 7
2) 3+ 2b= - 7
3) 5 = 7(y – 3) – 2
4) m + 5 = 2
3
5) If he radius is 5cm, then what is the circumference?
Answers:1) a = -52) b = -53) y = 44) m = 15) 31.4 cm
![Page 16: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/16.jpg)
7-5 Solving Equations with Variables on Each Side
� NOTES: What is a “Like Term”?
What differences do you see in the two lists?
![Page 17: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/17.jpg)
7-5 Solving Equations with Variables on Each Side
� NOTES: Collect and ADD the “Like Terms”:
![Page 18: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/18.jpg)
7-5 Solving Equations with Variables on Each Side
� NOTES:
![Page 19: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/19.jpg)
TIME FOR A CHALLENGE!
1) −20 = −4a − 6a
2) 10 = 1 − 2w + 5w
3) 8t − 2 = −9 + 7t
4) 4f + 3f = 7f
5) r − 8 = −(r + 4)
6) 3(x +1) - 5 = 3x - 2
7) 12m = −4(−6m − 3)
Answers1)a= 22)w = 33)t = -74)All 5)r = 46)Null7)m = - ½
HINT : “Null” means NO SOLUTION and it is NEVER true!
“All” means ALL NUMBERS are possible to make it true!
![Page 20: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/20.jpg)
7-5 Solving Equations with Variables on Each Side
� NOTES:
![Page 21: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/21.jpg)
7-5 Solving Equations with Variables on Each Side
� NOTES:
![Page 22: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/22.jpg)
7-5 Solving Equations with Variables on Each Side
�p348-349 (4-28 Even)
�Equations with variables on both sides
�One step inequalities
![Page 23: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/23.jpg)
7-6 Solving Multi-Step Inequalities
� Objective: To solve inequalities with more than one operation
� Warm-Up: Please solve each equation
1. 5a – 18 = 3a
2. -3b + 13 = -b – 3
3. 4(2x – 1) – 3 = 5(x – 5)
4. 7(y – 3) – 2 = 3(2y – 5) + 4
5.4/7m + 5 = 2/7m – 3
Answers:
1) a = 92) b = 83) x = -64) y = 125) m = -28
![Page 24: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/24.jpg)
7-6 Solving Multi-Step Inequalities
� NOTES:
![Page 25: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/25.jpg)
7-6 Solving Multi-Step Inequalities
� NOTES:
![Page 26: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/26.jpg)
7-6 Solving Multi-Step Inequalities
� NOTES:
Solve b – 8 ≥ 3b – 8 and check the solution.
Graph the solution on a number line.
b – 8 ≥ 3b – 8
+ 8 + 8
b ≥ 3b
– 3b – 3b
–2b ≤≤≤≤ 0
-2 -2
b ≤ ≤ ≤ ≤ 0
Rule: If each side of an inequality is multiplied or divided by a negative number, the order symbol of the inequality must be reversed.
1. Add 8 to each side.2. Subtract 3b from each side.3. Divide each side by –2
4. And change ≥≥≥≥ to ≤≤≤≤.
![Page 27: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/27.jpg)
Solve 5m - 8 > 12
+ 8 + 8
5m > 20
5 5
m > 4
5(4) – 8 = 12
1. Draw “the river”
2. Add 8 to both sides
3. Simplify
4. Divide both sides by 5
5. Simplify
6. Check your answer
7. Graph the solution
o4 53
![Page 28: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/28.jpg)
Solve 12 - 3a > 18- 12 - 12
-3a > 6
-3 -3
a < -2
12 - 3(-2) = 18
1. Draw “the river”
2. Subtract 12 from both sides
3. Simplify
4. Divide both sides by -3
5. Simplify (Switch the inequality!)
6. Check your answer
7. Graph the solution
o-2 -1-3
![Page 29: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/29.jpg)
Which graph shows the solution to:2x - 10 ≥ 4?
1. .
2.
3.
4.
Answer NowAnswer Now
![Page 30: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/30.jpg)
Solve 5m - 4 < 2m + 11
- 2m -2m
3m - 4 < 11
+ 4 + 4
3m < 15
3 3
m < 5
5(5) – 4 = 2(5) + 11
1. Draw “the river”
2. Subtract 2m from both sides
3. Simplify
4. Add 4 to both sides
5. Simplify
6. Divide both sides by 3
7. Simplify
8. Check your answer
9. Graph the solution
o5 64
![Page 31: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/31.jpg)
Solve 2r - 18 ≤ 5r + 3-2r -2r
-18 ≤ 3r + 3
- 3 - 3
-21 ≤ 3r
3 3
-7 ≤ r or r ≥ -7
2(-7) – 18 = 5(-7) +3
1. Draw “the river”
2. Subtract 2r from both sides
3. Simplify
4. Subtract 3 from both sides
5. Simplify
6. Divide both sides by 3
7. Simplify
8. Check your answer
9. Graph the solution
●-7 -6-8
![Page 32: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/32.jpg)
6) Solve -2x + 6 ≥ 3x - 4
1. x ≥ -2
2. x ≤ -2
3. x ≥ 2
4. x ≤ 2
Answer NowAnswer Now
![Page 33: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/33.jpg)
Solve 26p - 20 > 14p + 64-14p -14p
12p – 20 > 64
+ 20 + 20
12p > 84
12 12
p > 7
26(7) – 20 = 14(7) + 64
1. Draw “the river”
2. Subtract 14p from both sides
3. Simplify
4. Add 20 to both sides
5. Simplify
6. Divide both sides by 12
7. Simplify
8. Check your answer
9. Graph the solution
o7 86
![Page 34: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/34.jpg)
What are the values of x if 3(x + 4) - 5(x - 1) < 5?
1. x < -6
2. x > -6
3. x < 6
4. x > 6
Answer NowAnswer Now
![Page 35: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/35.jpg)
7-6 Solving Multi-Step Inequalities
�p353 (6-30 EVEN)
�Inequalities on a number line
�Multi-step linear inequalities
![Page 36: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/36.jpg)
7.8 - The Metric System
� Objective: To convert measurements within the metric system
� Warm-Up: Solve and Graph
1. 21 - 4t < 25
2. 18 + 6m > -24
3. - 5.72 < a
-20
BONUS: How can I move the decimal
with multiplication?
Answers:
1) t > -12) m > -73) a < 114.4
BONUS:Multi/Divide by 10!
![Page 37: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/37.jpg)
7.8 - The Metric System
![Page 38: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/38.jpg)
7.8 - The Metric System
![Page 39: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/39.jpg)
•1000 mg = 1 g •1 l = 1000 ml •160 cm = 1600 mm
•14 km = 14000 m •109 g = 0.109 kg •250 m = .250 km
•56 cm < 6 m •7 g > 698 mg
Conversion Practice Answers
![Page 40: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/40.jpg)
Write the correct abbreviation for each metric unit.
1) Kilogram _____ 4) Milliliter _____ 7) Kilometer _____
2) Meter _____ 5) Millimeter _____ 8) Centimeter _____
3) Gram _____ 6) Liter _____ 9) Milligram _____
Try these conversions, using the ladder method.
10) 2000 mg = _______ g 13) 5 L = _______ mL 16) 16 cm = _______ mm
11) 104 km = _______ m 14) 198 g = _______ kg 17) 2500 m = _______ km
12) 480 cm = _____ m 15) 75 mL = _____ L 18) 65 g = _____ mg
Metric Conversion Challenge
![Page 41: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/41.jpg)
1) kg 2) m 3) g 4) mL5) mm 6) L7) km 8) cm 9) mg
10) 2 g 11)104,000 m 12) 4.8 m 13) 5000 mL14) 0.198 kg 15) 0.075 L 16) 160 mm 17) 2.5 km 18) 65,000 mg
Conversion Challenge ANSWERS
![Page 42: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/42.jpg)
KILO0.001Units
HECTO0.01Units
DEKA0.1
UnitsDECI
10Unit
CENTI100Unit
MILLI1000Unit
MetersLitersGrams
Ladder Method
How do you use the “ladder” method?
1st – Determine your starting point.
2nd – Count the “jumps” to your ending point.
3rd – Move the decimal the same number of jumps in the same direction.
4 km = _________ m
1
23
How many jumps does it take?
Starting Point Ending Point
4.1
__.2
__.3
__. = 4000 m
![Page 43: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/43.jpg)
Try these conversions using the ladder method.
1000 mg = _______ g 1 L = _______ mL 160 cm = _______ mm
14 km = _______ m 109 g = _______ kg 250 m = _______ km
Conversion Practice
Compare using <, >, or =.
56 cm 6 m 7 g 698 mg
![Page 44: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/44.jpg)
Compare using <, >, or =.
25) 63 cm 6 m 27) 5 g 508 mg 29) 1,500 mL 1.5 L
26) 536 cm 53.6 dm 28) 43 mg 5 g 30) 3.6 m 36 cm
25. < 26. > 27. =
28. = 29. < 30. >
Conversion Challenge
![Page 45: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/45.jpg)
7-8 Using the Metric System
�P 360 (4-30 EVEN)
�Complete Rows 1-8 on KHAN by Monday, April 8th
� “1-Digit Addition” to “Equivalent Fractions 2”
![Page 46: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/46.jpg)
"March Math-ness" Extra Credit Game
Get in the action now:
http://games.espn.go.com/tournament-challenge-bracket/en/group?groupID=140532&ex_cid=tcmen-invite-email
On mobile:
http://games.espn.go.com/tournament-challenge-bracket/en/m/group?groupID=140532&ex_cid=tcmen-invite-email
Group: BAHS Pre-Algebra
Password: KruskaE1
Fast Facts
● No No. 16 seed has ever won a tournament game.
● Four No. 15 seeds have won their opening round game, but none have advanced farther than the second round. The last 15-seed to upset their 2-seed opponent was in 2001.
● The first and only time that all four No. 1 seeds advanced to the Final Four was 2008.
● On the other hand, there have been two tournaments where no No. 1 seeds have reached the Final Four: 1980 and 2006.
![Page 47: Solving Equations and Inequalities · Solving Equations & Inequalities 7.2 -Solving Two-Step Equations 7.4 -Circles and Circumferences QUIZ 7A: on 7.2 and 7.4 Friday 3/15 7.5 -Solving](https://reader033.fdocuments.net/reader033/viewer/2022052214/5f1214246e3a3724d359fec6/html5/thumbnails/47.jpg)
"March Math-" Extra Credit Game