1. Chapter 2
Solving Equations

2. LT1 - Multi-step Equations
Solve the equation
2x x = 23

3. LT1 - Multi-step Equations
Solve the equation
(3x + 4)/2 = 11

4. LT1 - Multi-step Equations
Solve the equation
4(5 - 4x) = -12

5. LT1 - Multi-step Equations
Solve the equation
-5x/ = -1

6. LT1 - Multi-step Equations
Solve the equation
12 - 2(15 - 3x) = 0

7. Warmup - Geometry Find the value of x.
(Hint: The sum of the interior angle measures of a quadrilateral is 360°.)

8. LT2 - Variables on Both Sides
Solve the equation
5x - 1 = x + 15

9. LT2 - Variables on Both Sides
Solve the equation
8 - (3 + x) = x - 9

10. LT2 - Variables on Both Sides
Solve the equation
-3/4(2x + 8) = 7x/4 - 9

11. LT3 - Special Cases
Solve the equation
2(2x - 1) = 4(x - 2)

12. LT3 - Special Cases
Solve the equation
4 - x = -(x - 4)

13. LT3 - Special Cases Summary
Identity (Infinitely Many Solutions)
No Solution

14. Warmup - Problem Solving

15. LT4 & 5 - Literal Equations
Rewrite the equation to solve for y
10x + 5y = 80

16. LT4 & 5 - Literal Equations
Rewrite the area of a triangle formula for height
A = 1/2bh

17. LT4 & 5 - Literal Equations
Rewrite the literal equation to solve for x
ax - bx = c

18. Warmup - Problem Solving
A four-walled room with width w, length l, and height h needs to be painted.
Write a formula for the area that needs to be painted.
Rewrite the formula to find h in terms of A, l, and w.
If l is 18 ft, w is 14 ft, and A is 512 ft2, what is the height of the room?

19. LT6 - Ratios The comparison of two quantities by division a to b a:b

20. LT7 - Unit Rates Rate Unit Rate
A ratio that compares quantities measured in different units
Unit Rate
A rate with a denominator of 1

21. LT7 - Unit Rates Compare the following rates: 2 shirts for $25

22. LT7 - Unit Rates Convert each amount to the given units 15 kg to grams
5ft 3in to inches
1640 minutes to days

23. LT7 - Unit Rates Convert the rate to the given units
Lowther ran 50 yards in 5.8 seconds. How fast did he run in miles per hour?

24. LT8 - Proportions Proportion
An equation that states two ratios are equal
The cross products of a proportion are equal

25. LT8 - Proportions
Solve each proportion for x

26. LT9 - Similar Figures Similar Figures ~ Congruent Figures
Figures with the same shape but not necessarily the same size
Congruent Figures
Figures with the same shape AND same size

27. LT9 - Similar Figures

28. LT9 - Similar Figures
If △ABC ~ △DEF, find the length of segment AC.

29. LT9 - Similar Figures

30. Warmup - Similar Figures
Given
Quadrilateral ABCD ~ Quadrilateral HIJK
CB = 10
DA = 12
JI = 15
Question: Which line segment could you find the measure of using the information given?

31. Warmup - Similar Figures
Round #2
Given
△DEF ~ △XYZ
DE = 5
DF = 12
Question: Which line segment(s) would you need to know the measure of to find at least one other segment measurement of △XYZ?

32. Warmup - Problem Solving
The sum of three consecutive odd integers is Find the three integers.

33. LT10 - Finding Percent
50 is what percent of 80?

34. LT10 - Finding Percent 35 is what percent of 120? What is 45% of 90?
70 is 32% of what number?
Find 40% of 125.

35. I = Prt LT11 - Simple Interest I = Interest P = Principle
r = rate (as .%)
t = time period (years)

36. LT11 - Simple Interest
Mr. S is investing $55,000 at a rate of 5.5% for 5 years. How much will he have at the end of the 5 year term?

37. LT11 - Simple Interest
A savvy investor has made $5,544 in interest after receiving 4.2% interest for the last 6 years. How much money did they start with?

38. Warmup - Percent Error
Find the minimum and maximum possible measurements.
A doctor measures a patient’s weight as 162 lb to the nearest pound.
As ostrich egg has a mass of 1.1 kg to the nearest tenth of a kilogram.
The length of an onion cell is 0.4 mm to the nearest tenth of a millimeter.

39. LT12 - Percent Change
Find the percent change.
Original: 55
New: 80

40. LT12 - Percent Change Find the percent change. Original: 22 New: 4

41. LT12 - Percent Change
A number is increased by 35% to become What’s the number?

42. LT12 - Relative Error

43. LT12 - Relative Error
You estimate that a teacher is 6’ 7” tall. He is actually 6’ 4” tall. Find the percent error to the nearest percent.

44. LT12 - Relative Error

45. Warmup - Percent Error