How to solve algebraic word problems

Practice Questions

SSAT Upper Level Quantitative (Math) › How to solve algebraic word problems

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1

Michael scores a 95, 87, 85, 93, and a 94 on his first 5 math tests. If he wants a 90 average, what must he score on the final math test?

2

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

3

The price of a nugget is units, which is two more than twice the value of a bronze object. What is the price of the bronze object?

4

If David wants to drive to his friend's house, which is 450 miles away, in 6 hours, what is the average speed David has to drive at?

5

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

6

A biologist observes that the population of catfish in a given lake seems to be growing linearly. In 2000, he estimated the number of catfish in the pond to be 7,000; in 2010, he estimated the number to be 11,000. If, indeed, the growth is linear, then express the catfish population as a function of the year number.

7

What is the mean of the set below?

8

The mean of , , , and is 125; the mean of , , , and is 150. Which of the following gives the sum of and if the mean of , , , , , and is ?

9

A pitcher standing on top of a 96-foot high building throws a baseball straight up at an initial speed of 80 miles per hour. The height in feet of the ball after time seconds can be modelled by the equation

.

How long does it take for the ball to hit the ground?

10

Which of the following sentences is represented by the equation

?

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