Bridges Unit 1 Expressions Test Version #1

1) Write an expression that converts the indicated unit:

The number of feet (f) to inches

Answer explanation

There are 12 inches in a foot

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N-Q.1

1) Which of the following expressions converts the indicated units: The number of inches (i) to feet

• 3(i)

• 12(i)

• ( i ) / 3

• ( i ) / 12

• not enough information

Answer explanation

There are 12 inches in a foot, so inches in terms of feet, have to be divided by 12

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N-Q.1

1) Frank wants to know how seconds are in days (d). What is the simplest expression, using the variable (d) ,he could use for this conversion? No spaces in your answer!

Answer explanation

$days\cdot24hours\cdot60\min\cdot60\sec$ $86400\left(d\right)$

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N-Q.1

2) Arjun and Beth each worked at a grocery store fo a full year. Let a be the number of hours Arjun worked during the year, b be the number of hours Beth worked during the year. Arjun worked more hours that Beth. Let c the their hourly wage. Which expression shows how much more money Arjun mad than Beth during the year?

• $\frac{a+b}{2}$

• $\frac{b}{a}$

• $\frac{a}{12}$

• $c\left(a-b\right)$

• $\frac{c\cdot a+c\cdot b}{2}$

Answer explanation

The money difference is the hour difference (a-b) times their wage c

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A.SSE.1

2) Arjun and Beth each worked at a grocery store fo a full year. Let a be the number of hours Arjun worked during the year, b be the number of hours Beth worked during the year. Arjun worked more hours that Beth. Let c the their hourly wage. Which of the following could be represented by the expression:

 $\frac{a+b}{2}$  

• The average number of hours worked in a year by Arjun and Beth

• The fraction of Arjun's hours that Beth worked

• The amount hours Arjun and Beth worked total

• The average wages for the two people total

• How much more money Arjun made than Beth

Answer explanation

When you add two quanities and divide by 2 you get their average.

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A.SSE.1

How many tiles will there be in the 37 shape?

Answer explanation

 $\left(3n-2\right)$   $3\left(37\right)-2=109\ Tiles$ 

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A.SSE.1

Montse has 12 dozen square tiles (144 total).  She wants to create this same pattern as far as she can.  If she only creates one pattern, what is the largest term in the pattern she can create with her blocks?

Answer explanation

The pattern is 3n so with 144 tiles/3=48th term

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A.SSE.1

3) Find the number of of tiles in the 57th figure.  Justify your answer using an algebraic expression.  This is a extended response you must Justify your answer, (explain)!

Answer explanation

$\left(n+1\right)^2+1$ $\left(57+1\right)^2+1=3365\ tiles$

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A.SSE.1

4) Suppose m represents the price (in dollars) of a gallon of gas at the gas station on Main Street and p represents the price (in dollars) of a gallon of gas at the gas station on Pine Street, where m>p. Check all all the correct statements given the two expressions 5m+5p and 10m

• 5m+5p < 10m

• 5m+5p >10m

• Both expression represent buying 10 gallons of gas.

• The consumer that bought 5 gallons from Main Street and 5 gallons from Pine street paid less than the person that bought all 10 gallons from the Main Street.

• The consumer that bought 5 gallons from Main Street and 5 gallons from Pine street paid more than the person that bought all 10 gallons from the Main Street.

Answer explanation

Ten gallons of gas for both expressions Main Street cost more, so the less you can buy for them the better the cost for the gas. 10p would actually be the smartest purchase!

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A.SSE.1

4) Suppose m represents the price (in dollars) of a gallon of gas at the gas station on Main Street and p represents the price (in dollars) of a gallon of gas at the gas station on Pine Street, where m>p. Check all all the correct statements given the two expressions 50-10m and 50-10p

• 50-10m > 50-10p

• 50-10m < 50-10p

• Both of these expression show a consumer that spent 50 dollars on 10 gallons of gas

• Both expressions show the amount of change each consumer will receive from their $50 after buying 10 gallons of gas

• The person who buys their 10 gallons of gas from the Main street station will receive more change back from their 50 dollars than the person who bought from Pine Street.

Answer explanation

Pine Street Gas is less, so the consumer will get more change back from buying gas there.

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A.SSE.1