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• Slides: 57  \$100 \$100 \$200 \$200 \$300 \$300 \$400 \$400 \$500 \$500 Properties of Real Numbers Ratios and Percents Solving Linear Equations Graphing Linear Equations Inequalities Properties of Real Numbers Ratios and Percents Solving Linear Equations Graphing Linear Equations Inequalities \$100 \$100 \$200 \$200 \$300 \$300 \$400 \$400 \$500 \$500 CATEGORY 1 - \$100 Give an example of the Commutative Property of Addition? CATEGORY 1 - \$200 Define the following: Integer CATEGORY 1 - \$300 What is the quotient of 0 and 5? What is the quotient of 5 and 0? CATEGORY 1 - \$400 Put the following numbers in order from least to greatest: 5 ¾ , -2, ∞, -2. 2, /5, 0. 6 CATEGORY 1 - \$500 List one property that holds true for multiplication, but does NOT hold true for division. CATEGORY 2 - \$100 Is it possible to have 300%? Explain your reasoning. CATEGORY 2 - \$200 How do you convert from a decimal to a percent? CATEGORY 2 - \$300 What is the equation for percent change? CATEGORY 2 - \$400 Find the percent of change and describe it as an increase or decrease: 26 to 20 CATEGORY 2 - \$500 An item costs \$64. The price is increased by \$10, then reduced by \$10. Is the percent of increase equal to the percent of decrease? Explain your answer. CATEGORY 3 - \$100 In the equation 3 n + 5 = 14, n is equal to. . . CATEGORY 3 - \$200 At the beginning of her mathematics class, Ms. Smith gives a warm-up problem. She says, “I am thinking of a number such that 6 less than the product of 7 and this number is 85. ” Which number is she thinking of? CATEGORY 3 - \$300 If a + 3 b = 13 and a = 7 the value of b is. . . CATEGORY 3 - \$400 What is the point of intersection of the graphs of the lines 2 x – y = 3 and x + y = 3? CATEGORY 3 - \$500 Mario paid \$44. 25 in taxi fare from the hotel to the airport. The cab charged \$2. 25 for the first mile plus \$3. 50 for each additional mile. How many miles was it from the hotel to the airport? CATEGORY 4 - \$100 Given two points, how do you calculate the slope of a line? CATEGORY 4 - \$200 How do you know if two lines will intersect? CATEGORY 4 - \$300 What are the slope and coordinates of the y-intercept of the line whose equation is 2 y = 5 x + 4? CATEGORY 4 - \$400 Write the equation for the line shown in the accompanying graph. Explain your answer. CATEGORY 4 - \$500 Write the equation of a line Perpendicular to line below and that goes through the point (0, 5). 3 x + 2 y = 4 CATEGORY 5 - \$100 Is the ordered pair (2, 5) in the solution set of: y > 2 x + 1? CATEGORY 5 - \$200 Which inequality is represented in the graph below? CATEGORY 5 - \$300 Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph? (a) (0, 0); (b) (0, 1); (c) (1, 5); (d) (3, 2) CATEGORY 5 - \$400 Thelma and Laura start a lawn-mowing business and buy a lawnmower for \$225. They plan to charge \$15 to mow one lawn. What is the minimum number of lawns they need to mow if they wish to earn a profit of at least \$750? CATEGORY 5 - \$500 Put the following in words and give two examples of what x could be: x: [ -2, 6) CATEGORY 1 - \$100 Answers may vary Example: 5 + 3 = 3 + 5 CATEGORY 1 - \$200 A whole number. CATEGORY 1 - \$300 0/5=0 5 / 0 = UNDEFINED CATEGORY 1 - \$400 - ∞, -2. 2, -2, 0. 6, ¾ , 5/5, ∞ CATEGORY 1 - \$500 The Commutative Property CATEGORY 2 - \$100 Yes! Your money can triple, or in other words, grow 300%. CATEGORY 2 - \$200 Multiply by 100, or in other words, move the decimal point two places to the right. CATEGORY 2 - \$300 Percent Change = ( New – Original ) x 100 CATEGORY 2 - \$400 The Percent Change is a Decrease by 23% CATEGORY 2 - \$500 The percent of increase is NOT equal to the percent of decrease. When the cost is increased by \$10 (from \$64 to \$74), this is a 15. 6% increase. When the cost is decreased by \$10 (from \$74 to \$64) this is a 13. 5% decrease. CATEGORY 3 - \$100 3 n + 5 = 14 -5 -5 3 n =9. 3 3 n=3 CATEGORY 3 - \$200 If the number is x, we can say: 7 x - 6 = 85 +6 +6 7 x = 91 7 7 x = 13 CATEGORY 3 - \$300 a + 3 b = 13 7 + 3 b = 13 -7 -7 3 b = 6 3 3 b=2 CATEGORY 3 - \$400 If 2 x – y = 3, then we can say y = 2 x - 3 If x + y = 3, then we can say y = -x + 3 We have: y = -x + 3 = 2 x – 3 = y Or -x + 3 = 2 x – 3 6 = 3 x 2=x When x = 2, y = -2 + 3 = 1 Therefore, the point of intersection is (2 , 1) CATEGORY 4 - \$100 y 2 – y 1 Slope = x 2 – x 1 CATEGORY 4 - \$200 If two lines have different slopes, they will intersect. CATEGORY 4 - \$300 If 2 y = 5 x + 4, then we can say y = 5/2 x + 2 Therefore, the slope (m) is 5/2 And the y-intercept (b) is the point (0, 2) CATEGORY 4 - \$400 The slope is 2/1 And the y-intercept is the point (0, -3) Therefore, the equation of the line is y = 2/1 x - 3 CATEGORY 4 - \$500 We can rewrite the equation of the line in slope intercept form as follows: 3 x + 2 y = 4 -3 x 2 y = -3 x + 4 2 2 So, y = -3/2 x + 2 Therefore, the slope of the perpendicular line must be 2/3 You should realize that the y-intercept is 5. 2/ x + 5 y = 3 So our equation is CATEGORY 5 - \$100 No! CATEGORY 5 - \$200 4≤x<2 CATEGORY 5 - \$300 (3 , 2) CATEGORY 5 - \$400 65 Lawns. CATEGORY 5 - \$500 Negative two is less than or equal to x which is less than six. (examples may vary)