Which equation is true?

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Myron Francis
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1 Which equation is true? A B C D

2 Which number is both a factor of 100 and a multiple of 5? A 004 B 040 C 050 D 500

3 Ms. Clancy uses a backpack on a hiking trip. She took about 2 kg of food out of her backpack to make it lighter. The scale below shows how much the backpack weighed after she took out the food. How much did the backpack weigh, in kg, before she took the food out? kg

4 A roller skating team has 10 members. Each team member has 2 skates. Each skate has 4 wheels. What is the total number of skate wheels that the team has? wheels

5 Sarah is 12 years old. George is g years old. Sarah is 3 times as old as George. For numbers 1a 1c, choose Yes or No to indicate whether each statement is true. 1a. George s age, in years, can be represented by the expression Yes No 1b. George is 15 years old. Yes No 1c. George s age, in years, can be found by solving the equation 12 = 3 g. Yes No

6 Classify the triangles as scalene, right, and/or acute. If a triangle fits more than one classification, place it in all the boxes that apply. If none of these classifications apply, leave it outside the boxes. Click on a shape and then click inside a box to place a shape in the box.

7 Branden s teacher said that beginning at age 2, children grow about 6 centimeters per year. Branden is 125 centimeters tall and is 9 years old. In the table below, Branden used his current age and height to calculate his possible height for each of the previous 3 years. Branden used the equation to estimate how tall he was at age 2. Will the equation give him a reasonable estimate of his height at age 2? Explain your answer by relating the information in the table to the given equation. What is a reasonable height for Branden at age 2? centimeters

8 Eva thinks that Q shows 2 on the number line. Eva labeled the 4 number line with unit fractions to show how she determined her answer.

9 Is Eva s drawing correct? Explain your reasoning using words, numbers, and/or pictures.

10 Peter made the statement shown below. The number 32 is a multiple of 8. That means all of the factors of 8 are also factors of 32. Is Peter s statement correct? In the space below, use numbers and words to explain why or why not.

11 Select all of the expressions that have a value between 0 and 1. A B C D ( 5) ( 5) 6 10

12 Match each inequality in items 1 3 with the number line in items A F that represent the solution to the inequality. To connect an inequality to its number line, first click the inequality. Then click the number line it goes with. A line will automatically be drawn between them. 1 4x < 12 A B 2 2(x + 2) < 8 C D 3 5 2x < 2 x E F

13 Let b represent a number. Click and drag the objects (numbers, operation symbols, letter) to the line below to create an expression that represents the following: 5 more than the product of 3 and the number b Not all objects will be used. 3 5 b + x

Hannah makes 6 cups of cake batter. She pours and levels all the batter into a rectangular cake pan with a length of 11 inches, a width of 7 inches, and a depth of 2 inches.

14 Hannah makes 6 cups of cake batter. She pours and levels all the batter into a rectangular cake pan with a length of 11 inches, a width of 7 inches, and a depth of 2 inches. One cubic inch is approximately equal to cup. What is the depth of the batter in the pan when it is completely 1 poured in? Round your answer to the nearest of an inch. 8

15 Jaime randomly surveyed some students at his school to see what they thought of a possible increase to the length of the school day. The results of his survey are shown in the table below. Part A A newspaper reporter will randomly select a Grade 11 student from this survey to interview. What is the probability that the student selected is opposed to lengthening the school day? Part B The newspaper reporter would also like to interview a student in favor of lengthening the school day. If a student in favor is randomly selected, what is the probability that this student is also from Grade 11?

16 Juan needs a right cylindrical storage tank that holds between 110 and 115 cubic feet of water. Using whole numbers only, provide the radius and height for 3 different tanks that hold between 110 and 115 cubic feet of water. Tank #1 Tank #2 Tank #3 radius = ft. radius = ft. radius = ft. height = ft. height = ft. height = ft.

17 Part A Triangle STV has sides with lengths of 7, 11, and 14 units. Determine whether this triangle is a right triangle. Show all work necessary to justify your answer. Part B A right triangle has a hypotenuse with a length of 15. The lengths of the legs are whole numbers. What are the lengths of the legs?

18 The areas, in square kilometers, of 10 countries in South America are shown in the table. The data is also summarized in the box plot. Which measure of center, the mean or the median, is best to use when describing this data? Thoroughly explain your reasoning for choosing one measure over the other measure.

19 Two of these statements are true in all cases: Statement 1: The greatest common factor of any two distinct prime numbers is 1. Statement 2: The greatest common factor of any two distinct composite numbers is 1. Statement 3: The product of any two integers is a rational number. Statement 4: The quotient of any two integers is a rational number.

20 Part A: Which two statements are true in all cases? Part B: For both statements that you did not choose in Part A, provide one clear reason and/or example for each statement that proves the statement can be false. Statement Reason/example Statement Reason/example

Quiz For use after Section 4.2

Quiz For use after Section 4.2 Name Date Quiz For use after Section.2 Write the word sentence as an inequality. 1. A number b subtracted from 9.8 is greater than. 2. The quotient of a number y and 3.6 is less than 6.5. Tell whether