Chapter 2 Solving Equations

LT1 - Multi-step Equations Solve the equation 2x + 4 - 5x = 23

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

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

LT1 - Multi-step Equations Solve the equation -5x/3 + 14 = -1

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

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

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

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

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

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

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

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

Warmup - Problem Solving

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

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

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

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?

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

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

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

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

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?

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

LT8 - Proportions Solve each proportion for x

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

LT9 - Similar Figures

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

LT9 - Similar Figures

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?

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?

Warmup - Problem Solving The sum of three consecutive odd integers is 1599. Find the three integers.

LT10 - Finding Percent 50 is what percent of 80?

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

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

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?

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?

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.

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

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

LT12 - Percent Change A number is increased by 35% to become 103.95. What’s the number?

LT12 - Relative Error

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.

LT12 - Relative Error

Warmup - Percent Error