$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 This & That Exponents & Roots What’s the Answer? Solve This Percents A Little Bit of Everything

Explain why | 4 | = | -4 |. Then show how to solve | |. $100 Question This & That

$100 Answer This & That They are both 4 units away from zero = 5 The absolute value of 5 is 5

$200 Question This & That Simplify the following expressions:

$200 Answer This & That A.) 4 B.) -6

$300 Question This & That Is (-3, 16) is a solution to y = 3x + 25? Explain or show how you know.

$300 Answer This & That (-3, 16) 16= 3(-3) = = 16 Yes, (-3, 16) a solution

$400 Question This & That Explain what the difference is between rational and irrational numbers. Give 3 examples of each type (Give at least one as a square root).

$400 Answer This & That A rational number can always be written as a fraction. The decimals end or repeat. Examples: any fraction, whole #, integer, Square roots that have a perfect square Irrational numbers go on and on without repeating Example: Pi or square roots that don’t have a perfect square

$500 Question This & That Evaluate the expression below. Show your steps

$500 Answer This & That

$100 Question Exponents & Roots Write the following problems into scientific notation: a.) 3080b.)

$100 Answer Exponents & Roots A.) 3.08 ×10 3 B.) 7.08 ×10 -4

$200 Question Exponents & Roots Multiply. Leave your answer in scientific notation. (4.5 x 10 2 ) x (3 x )

$200 Answer Exponents & Roots To keep the numbers in scientific notation, group the factors together and the powers of 10 together: (4.5 x 3) x (10 2 x ) Then use the laws of exponents (add the exponents when bases are the same): 13.5 x This is not in scientific notation, so 1.35 x 10 -1

$300 Question Exponents & Roots Show how to multiply exponents with the same base x 9 x 8 Show how to divide exponents with the same base (-9) 18 (-9) 9 Show how to raise a power to a power? (3 2 ) -4

$300 Answer Exponents & Roots Multiplying exponents with the same base x 9 x 8 add the exponents x 17 Dividing exponents with the same base (-9) 18 subtract the exponents (-9) 9 (-9) 9 Raising a power to a power? (3 2 ) -4 multiply the exponents 3 -8

$400 Question Exponents & Roots 9 cm ? 15cm Find the missing side.

$400 Answer Exponents & Roots Use the Pythagorean Theorem c = 12 cm

$500 Question Exponents & Roots For safety reasons, the base of a 24 foot ladder must be at least 8 feet from the base of the wall. To the nearest, tenth of a foot, how high can the 24 foot ladder reach?

$500 Answer Exponents & Roots 8 ft. 24 ft. ? ft Use the Pythagorean Theorem. The ladder can safely reach about 22.6 ft.

$100 Question What’s the Answer? Solve:

$100 Answer What’s the Answer?

$200 Question What’s the Answer? Solve: (-7)(-3.9) =

$200 Answer What’s the Answer? 27.3

$300 Question What’s the Answer?

$300 Answer What’s the Answer?

$400 Question What’s the Answer? Solve: 2.1 ÷ 0.07 =

$400 Answer What’s the Answer? 30

$500 Question What’s the Answer?

$500 Answer What’s the Answer?

$100 Question Solve This Solve for x:9 = x – (-5)

$100 Solve This First add the opposite to simplify the right side: 9 = x + (+5) Then use the Subtraction Property of Equality: 4 = x

$200 Question Solve This Solve the equation: 20 – 4x = 40

$200 Answer Solve This 20 – 4x = x = x = -5

$300 Question Solve This Solve and graph the inequality: -5 + x < 25

$300 Answer Solve This X < 30 Graph: open to the left

$400 Question Solve This

$400 Answer Solve This

$500 Question Solve This Jerry borrowed $16,000 to buy a new car. At the end of 5 years, he had repaid a total of $22,200. At what simple interest rate did he borrow the money?

$500 Answer Solve This 22,200 – 16,000 = 6,200 (Int. paid) I = Prt 6,200 = 16,000 (r) 5 6,200 = 80,000(r) = r, so 7.75%

$100 Question Percents 115 is what percent of 40?

$100 Answer Percents 287.5%

$200 Question Percents What number is 0.6% of 200?

$200 Answer Percents 1.2

$300 Question Percents In her shop, Stephanie earns 16% on all the clothes she sells. This month she earned $3920. What were her total sales of clothes?

$300 Answer Percents total sales Stephanie’s total sales were $24,500. =

$400 Question Percents The price of gas in Minnesota on December 4 th, 2014 was $2.66. The price of gas in Minnesota on December 4 th, 2000 was $1.46. What is the percent increase in the price of gasoline?

$400 Answer Percents About 82.2% increase 1.46 to

$500 Question Percents The class is holding a dance. The class made a profit of $382.50, which was 85% of its revenue. How much revenue does the class have?

$500 Answer Percents The class has $450 of revenue.

$100 Question A Little Bit of Everything Explain how you know if a table represents a function or not. Provide an example of a table that is a function Provide an example of a table that is not a function

$100 Answer A Little Bit of Everything A table is a function if each input has one output. xY XY FunctionNot a Function

$200 Question A Little Bit of Everything Explain the difference between continuous data and discrete data. Provide an example of each type of data.

$200 Answer A Little Bit of Everything Continuous data—connected points on graph Example: Distance over time Discrete data—don’t connect points Example: Money made selling pumpkins

$300 Question A Little Bit of Everything Estimate the square root to the nearest tenth. No Calculator—Show your work

$300 Answer A Little Bit of Everything It’s between 7 and 8 because 52 is between 49 and 64. That means it’s 7.___ Distance from to = 3 Make fraction Distance from to 15 into a decimal 3 ÷ 15 =.2 so ≈ 7.2

$400 Question A Little Bit of Everything Find the distance between (-2, 3) and (6, -4) Use the distance formula Round to the nearest tenth

$400 Answer A Little Bit or Everything

$500 Question A Little Bit of Everything Write an equation and make a graph for this table:

$500 Answer A Little Bit of Everything Change of y Change of x When x is zero, y is 5, so y = 2x + 5 Graph: line-crossing (0,5)

Originally:_______ New Price: $ % decrease

original – orig.(percent decrease = new price 100%x – 15%x = %x = x = x ≈ 4.47