Benchmark 2 Active Review 2022-23

BeNCHMARK 2 Math Review (Active)

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Repeated events means you're looking for multiples.

Use a t-chart to list out multiples of any numbers until you find common numbers.

​Multiples

Splitting or dividing items means you are factoring them.

Use a factor tree to help you find prime factors.

Factors

Factors and Multiples

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Maurice has 48 chocolate cookies and 72 sugar cookies. He plans to separate them onto platters. 

*Each platter must have the same number of each type of cookie.

*No cookies can be left over.

*He wants to make the largest number of platters possible.

What is the greatest number of cookie platters Maurice can make?

Multiple Choice

Hot dogs are sold in packages of 8 and hot dog buns are sold in packages of 10. Oscar wants to buy enough hot dogs and hot dog buns to have an equal number of each item. How many packs of hot dogs and buns will he need to purchase to have the same amount of each?

• 40 packages hot dogs, 40 packages of buns

• 5 packages of hot dogs, 4 packages of buns

• 2 packages of hot dogs, 3 packages of buns

• 1 package of hot dogs, 1 package of buns

Identify your total (DIVIDEND)

Identify how you're splitting it (DIVISOR)

Use your calculator to help you, draw a model, use common denominators, use KCF

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Fraction Division

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Mario cut pieces of ribbon that are each ⅓ yard long. He has a spool of ribbon that is 15 yards long. How many complete pieces of ribbon can he cut?

Multiple Choice

Yesterday, the cafeteria served 16½ cups of ranch dressing. One serving of ranch dressing comes in a cup that is ¼ cup in size. How many servings of ranch dressing did the cafeteria serve yesterday?

• 26

• 16

• 66

• 15

Use the fraction and mixed number buttons on your calculator to help you work with fractions.

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​Working with Fractions

Multiple Choice

Which of these numbers is greater than 8⅓ but less than 9?

• $$\frac{24}{3}$$

• $$8\frac{4}{7}$$

• $$\frac{33}{4}$$

Multiple Choice

Which of the following numbers is the greatest?

$$\frac{19}{24}$$ , $$\frac{3}{5}$$ , 0.82, $$\frac{4}{7}$$

• $$\frac{19}{24}$$

• $$\frac{3}{5}$$

• 0.82

• $$\frac{4}{7}$$

Remember: absolute value is NOT the same as opposites. Opposites are numbers that are the same distance away from zero. They are called zero pairs.

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Absolute Value

Multiple Choice

Order these values least to greatest:

|-3|, -4, |5|, -1, |-6|

• |-3|, |5|, |-6|, -1, -4

• -4, -1, |-3|, |5|, |-6|

• |-6|, -4, |-3|, -1, |5|

• |-6|, |5|, |3|, -1, -4

Multiple Choice

• Points A and B

• Points B and C

• Points C and D

• Points A and D

Multiple Choice

Four friends played a game. Their scores are listed below.

Who had the highest total score for both rounds?

Round 1 Round 2

Bill   -2   6

Tom   5   -8

Jake     1   -5

Opal   2  -4

• Bill

• Tom

• Jake

• Opal

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What is the distance between -2 and 14 on a number line?

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The graph shows the map of an amusement park. What is the distance between the water slide and the restrooms?

There are 3 ways to write a ratio:

word form

colon form

fraction form

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Ratios and Equivalent Ratios

Sometimes you can use addition to help you find missing values in a ratio table.

Additive Relationships in Ratio Tables

You can also use multiplication (or division) to scale your ratios up (or down) in a ratio table. Remember: sometimes you may have to scale down before you can scale up!

Multiplicative Relationships in Ratio Tables

Multiple Choice

Which ratio shows a ratio of 1:4 cats to dogs?

• 8 cats and 24 dogs

• 3 dogs and 12 cats

• 4 cats and 16 dogs

• 5 cats and 20 animals

Multiple Choice

Sally has 5 math assignments and 3 reading assignments to complete. What is the ratio of math assignments to all of her lessons?

• 5:3

• 3:5

• 5:2

• 5:8

Rates are special ratios that compare items that are not related:

miles per hour

pages per day

shots per game

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​Rates and Unit Rates

Multiple Choice

Mrs. Taylor searched for the best deal on Pepsi. She found the following deals:

Which is the best deal, per ounce?

• 16 oz for $1.29

• 18 oz for $1.99

• 20 oz for $2.19

Multiple Choice

The winning track athlete ran the 1600 meter race in 6 minutes. At this rate, how fast did the runner run in 1 minute?

• 266 meters

• 200 meters

• 5 meters

• 128 meteres

You can use proportions to help you convert measurements. Look for scaling up or down OR use cross products to help you solve.

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Using Proportions to convert measurements

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The length of a world-record sub sandwich is 8½ yards long. How long is the sub sandwich in inches? (1 yard = 36 inches)

You can use the percent proportion to solve problems with percents.

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Percents

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In the grade, 120 of the 160 students met their ALEKS goals. What percent of the students met their goals?

Multiple Choice

Over the break, 76% of the students traveled out of the state to visit family. If there are 550 students in the school, about how many students traveled out of state?

• 132

• 723

• 477

• 418