How to find the solution to an equation

ISEE Middle Level Quantitative Reasoning · Learn by Concept

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ISEE Middle Level Quantitative Reasoning › How to find the solution to an equation

1 - 10
1

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

CORRECT

(a) and (b) are equal

0

It is impossible to determine which is greater from the information given

0

(b) is the greater quantity

0

Explanation

2

Solve for :

CORRECT

0

0

0

Explanation

3

Which of the following phrases can be written as the algebraic expression ?

The sum of a number and seven subtracted from one hundred

CORRECT

The difference of a number and seven added to one hundred

0

The difference of seven and a number added to one hundred

0

One hundred subtracted from the sum of a number and seven

0

The correct answer is not given among the other responses

0

Explanation

is subtracted from one hundred.

is the sum of a number () and seven.

Therefore,

is the sum of a number and seven subtracted from one hundred.

4

Evaluate .

CORRECT

0

0

0

Explanation

.

5

Solve the equation:

CORRECT

0

0

0

Explanation

To solve to the equation isolate the variable on one side of the equation with all other constants on the other side. To accomplish this perform opposite operations to manipulate the equations.

First subtract 18 from both sides.

Now divide by 8 on both sides.

6

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

CORRECT

(b) is the greater quantity

0

(a) and (b) are equal

0

It is impossible to determine which is greater from the information given

0

Explanation

Solving both equations:

.

7

Which is greater?

(A)

(B)

(B) is greater

CORRECT

(A) is greater

0

(A) and (B) are equal

0

It is impossible to determine which is greater from the information given

0

Explanation

, so .

Therefore , so (B) is greater.

8

Solve for y in the following equation:

CORRECT

0

0

0

0

Explanation

To solve, we want y to stand alone. We get

9

Jasmine is participating in a swimming race. If the race is 3000 yards, what percentage of the race has she completed at the 2400 yardline?

CORRECT

0

0

0

Explanation

Divide .

Answer: Jasmine has completed 80% of the race.

10

The four angles of a quadrilateral measure .

What is ?

CORRECT

0

0

0

0

Explanation

The measures of the four angles of a quadrilateral total , so set up this equation and solve: