# 100 100 200 200 300 300 400 400

- 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)