ISEE Lower Level Math : Algebraic Concepts

Study concepts, example questions & explanations for ISEE Lower Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #21 : Equations

At the mall, Jason buys 2 pairs of jeans, costing $14 each, and a jacket. His total before tax is $42. How much does the jacket cost? 

Possible Answers:

$14

$28

$10

$12

$20

Correct answer:

$14

Explanation:

The algebraic expression for the given information is:

,

with  representing the total cost for 2 pairs of jeans, and  being the cost of the jacket.

The jacket costs 14 dollars. 

Example Question #22 : Algebraic Concepts

Solve for

Possible Answers:

Correct answer:

Explanation:

First add 5 to both sides of the equation:

Divide both sides by 4:

Reduce:

Example Question #22 : Equations

Simplify

Possible Answers:

Correct answer:

Explanation:

Group like terms:

Combine:

Since nothing more can be combined, this is our answer.

Example Question #23 : Equations

Which expression is equal to 15?

Possible Answers:

Correct answer:

Explanation:

Keep in mind the order of operations for this problem. Always start with parentheses. There are no exponents here, so then move to multiplication and division, and finally to addition and subtraction.

Example Question #24 : Equations

What is a reasonable estimate of ?

Possible Answers:

Correct answer:

Explanation:

Since multiplication and division have an equal status within the order of operations, we can start by dividing two of the elements (we don't have to multiply ). The first thing that should pop out is that equals a little less than .

Now we can estimate a reasonable range by multiplying by and . That would give us an approximate range of This estimate falls right in the middle of , which is the correct answer.

Example Question #25 : Equations

What is the value of

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations for this problem:

parentheses:

exponents:

division and multiplication:

addition and subtraction: (now simply add and subtract from left to right!):

Example Question #26 : Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

Example Question #27 : Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To divide, move the decimal point in both numbers right one place to make the divisor whole.

Example Question #28 : Equations

Solve for  : 

Possible Answers:

Correct answer:

Explanation:

Example Question #29 : Equations

Solve for .

Possible Answers:

Correct answer:

Explanation:

Learning Tools by Varsity Tutors