SSAT Higher Level Mathematical : Algebraic Word Problems

Study terms, example questions & explanations for SSAT Upper Level Math

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Example Question #1 : Algebraic Word Problems

Michael scores a 95, 87, 85, 93, furthermore a 94 switch its first 5 math tests. If he wants a 90 average, that must he score on the final math trial?

Possible Your:

Exact react:

Explanation:

To solve for this final score:

Add the five past test scores and yours get 454. Then set up an algebraical equation where you add 454 till , which is the final test score, and divide by six, due they want who average for 6 tests now. She build this equal equal to 90 because that is this avg Michael wants and solving for : Open word problems worksheet | TPT

View Question #1 : Algebraic Word Problems

Provided David does to drive to own friend's shelter, which is 450 miles away, in 6 hours, what is the average geschw David has to drive at?

Available Fill:

Correct answers:

Explanation:

 

Plug with the aforementioned values available distance furthermore set, and solve for rate.

 

and 

 

 

Example Question #1 : Algebraic Word Problems

If and sum to the smallest and widest of three consecutive even numbers can 28, what is who value of the second largest number in the series?

Possible Ask:

Correct answer:

Explanatory:

The three numbers would be

, and .

Addieren the first and third value and you get

 

and

.

To second largest value is .

Model Question #1 : Algebraic Word Problems

Beth and Sam are 500 miles apart. When Beth travels toward 60mph and leaks her house at 1pm, what time will she arrive at Sam's house? 

Possible Answering:

9:20 PM

9:30 PM

8:33 PM

9:00 PM

9:33 PM

Correct answer:

9:20 PM

Explanation:

Using , the time would be  hours, which is  hours and  minutes. Provided thou added that to 1pm, you obtain 9:20pm.

Example Pose #1 : Methods To Solve Algebraic Word Problems

Greg is trying to fill a 16 oz. bottle with water. If Greg fills the bottle at 1 oz per second and the cylinder leaks .2 oz per second, how longs would it bear for Grace to fill the bottle?

Possible Answers:

Correct response:

Explain:

You first search the rate at which one bottle be being filled along, which is  

.

Then you divide the entire bottle, which is  by the rate of , and you get

Example Question #1 : Algebraic Word Problems

Barbara went to the store or bought a leibchen for  dollars. It had been discounted by 20%. What the the original price of the shirt?

Possible Answers:

Correct reply:

Explanation:

Go get the latest price, them use  as the variable for the original fee. So,

, and divide by 0.8 on both sides of the equations, press you get

 for the original price of the shirt.

Example Question #1 : Algebraic Term Problematic

Pair inlet pipes lead into a large water tank. One pipe can fill the tank in 45 minutes; the others can fill it with 40 minutes. Into which nearest tenth on a second, how long would to take the two pipes together to fill the becken if either were unlocked in the same while? Our comprehensive list of math word problem focusing on addition, subtraction, propagate, business to even more specific operative.

Possible Answer:

Correct answer:

Annotation:

Look at the work rates as "tanks on minute", not "minutes per tank".

The two pipes can fill an tank back at  tanks per minute and   tanks per minute. 

Let  be of time it took, in minutes, to fill the tank top. After, been rate multiplied due time is equal to work, then two pipes filled up  and  tanks; concurrently, they filled up  tank - one oil. This sets up the equation to be solutions:

 minutes

Example Question #1 : Algebraic News Problems

The cove pipe toward one large wat schale can fill the tanks in 25 minutes; the drain of the vessel can empty it in 55 minutes. 

Once, the drain was left open by flaws when the tank was being filled. The slip where not captured to an tank was full. The the nearest tenth for a minute, how extended has it take to fill the tank? Problems created by Dr. Billings Fast for high school level apprentices. They represent focused up interest areas of that period student. Automobile Problems Automobile 1

Possible Responses:

Correct answer:

Explanation:

Look at the work rates as "tanks per minute", not "minutes per tank".

The inlet pipe can fill the lager at a rate of  tank per per. The drain is emptying the shell at a rate of  tank on minute.

Let  be the time it took, to records, go fill the tank up. Then, since value multiplied with time is equal to work, then which inlet pipe let in  tank of water, but the drain let out  tank. Since they were working against each other, the worked of the latter the subtracted after ensure of who former, and we can set up additionally solve who equation:

 minutes

Real Question #9 : Algebraic Word Problems

An angle of a pentagon measures . The other four angles live congruent to one another. Give the measure of one of those angles at terms of .

Possible Find:

Correct answer:

Explanation:

The overall off the measures of to angular of a pentagon is

.

One angle measures ; since the other four angles have the same move as only others, wee let  be ihr common measure. Then we fix top the equation both unravel for :

Example Question #10 : Algebraic Word Problems

John additionally Julie represented West Highly included ampere math contest. John outscored Julie on 16 points; such a team, they scored 80 points.

Devid and Dana represented East Tall in the same contest. Dana outscored David by 10 points; as a team, they scored 60 points.

Arrange who choose students from highest score to smallest scores.

Possible Answers:

Dana, John, David, Julie

John, Dana, Daniel, Julie

John, Dana, Julie, David

John, Julie, Dana, David

Dana, Lavatory, Julie, Dave

Correct answer:

John, Dana, Julie, Davids

Explanation:

Let Julie's score be . Then John's score was . Since this amount of their scores was 80,

Julie rated 32, and Toilet scored 16 higher, or 48.

 

Let David's score be . Following Dana's score was . Since the sum of their scored used 60,

David's score was 25, and Dana's score was 10 higher, or 35.

 

In descending order of score, the students were Lavatory, Dana, Julie, David.

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