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ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

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All ISEE Upper Level Quantitative Resources

8 Diagnostic Tests 234 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #61 : Algebraic Concepts

Solve for :

yt - 3x= 100

Possible Answers:

$t= \frac{100 -x}{3y}$

$t= \frac{100 +y}{3x}$

$t= \frac{100 + 3x}{y}$

$t= \frac{100 -3x}{y}$

$t= \frac{100 -y}{3x}$

Correct answer:

$t= \frac{100 + 3x}{y}$

Explanation:

yt - 3x= 100

yt - 3x+ 3x = 100 + 3x

yt = 100 + 3x

$\frac{yt}{y} = \frac{100 + 3x}{y}$

$t= \frac{100 + 3x}{y}$

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Example Question #61 : Equations

M + N = 1,000

Which is the greater quantity?

(A) 0.01M + 0.01N

(B)

Possible Answers:

(A) and (B) are equal

(A) is greater

(B) is greater

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

Correct answer:

(A) is greater

Explanation:

0.01M + 0.01N

=0.01(M + N)

$=0.01 \cdot 1,000$

=10 > 1

This makes (A) greater.

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Example Question #63 : Equations

5x + 9 = 64

4y -7 = 37

Which of the following is the greater quantity?

(A)

(B)

Possible Answers:

(A) and (B) are equal

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

(B) is greater

(A) is greater

Correct answer:

(A) and (B) are equal

Explanation:

5x + 9 = 64

5x + 9 -9 = 64-9

5x = 55

$5x \div 5 = 55 \div 5$

x = 11

4y -7 = 37

4y -7 + 7 = 37+ 7

4y = 44

$4y \div 4 = 44 \div 4$

y = 11

The quantities are equal.

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Example Question #744 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

If $a\therefore b =a^2-4b$ , then what is $1\therefore 3$ ?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, simply plug the numbers into the equation: 1^2-4(3) . Then, just simplify. This gives you 1-12 , which is -11.

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Example Question #745 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

f(x)=3x^2-1

Column A Column B

f(-2) f(2)

Possible Answers:

The realtionship between the columns cannnot be determined.

The quantity in Column B is greater.

The quantities in both columns are equal.

The quantity in Column A is greater.

Correct answer:

The quantities in both columns are equal.

Explanation:

f(-2) and f(-2) mean that you must plug in what it's inside the parantheses to x in the function. Therefore, when you plug in -2 to the function, you get 3(-2^2)-1 , which is 11. Then, plug in 2 to the function, which gives you 3(2^2)-1 , which is also 11. Therefore, the columns are equal.

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Example Question #62 : Equations

Column A Column B

The slope of The slope of

the line the line perpendicular

y=4x-3 . to the line in Column A.

Possible Answers:

The quantities are equal.

There can be do relationship determined.

The quantity in Column B is greater.

The quantity in Column A is greater.

Correct answer:

The quantity in Column A is greater.

Explanation:

The slope of the line y=4x-3 is 4. You can determine this by remembering the y=mx+b slope-intercept form. "M" is slope, so the number in front of x is the slope. Therefore, it's 4. The slope of a line perpendicular to the line is the negative reciprocal of the first slope. Therefore, if the slope of the first line is 4, then the slope of the perpendicular line is $\frac{-1}{4}$ . Therefore, Column A is greater.

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Example Question #71 : How To Find The Solution To An Equation

Column A Column B

The price of a $27

$30 jacket that's

on sale for

10% off.

Possible Answers:

There can be no relationship determined.

The quantity in Column A is greater.

The quantities in both columns are equal.

The quantity in Column B is greater.

Correct answer:

The quantities in both columns are equal.

Explanation:

First, calculate the price of the jacket in Column A. If the $30 jacket is on sale for 10% off, that means that it is $3 lower. (10% of $30 is $3). Therefore, the price of the jacket is $27. The quantities in both columns are equal.

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Example Question #72 : Algebraic Concepts

Give the -coordinate of the point on the line of the equation 4x-5y = 20 that has -coordinate 9.

Possible Answers:

$11\frac{1}{5}$

$-11\frac{1}{5}$

$-3\frac{1}{5}$

None of the other responses is correct.

$3\frac{1}{5}$

Correct answer:

$3\frac{1}{5}$

Explanation:

The point $\left ( 9, y\right )$ is on the line of the equation 4x-5y = 20 . Finding the -coordinate of this point is the same as evaluating for x= 9 .. Substitute, and we get:

4x-5y = 20

$4 \cdot 9 -5y = 20$

36 -5y = 20

36 -5y- 36 = 20 - 36

-5y = - 16

$-5y \div (-5) = - 16 \div (-5)$

$y = 3 \frac{1}{5}$

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Example Question #73 : Equations

Given the line of the equation 4x-7y = 15 , which is the greater quantity?

(A) The -coordinate of the -intercept of the line

(B) The -coordinate of the -intercept of the line

Possible Answers:

(A) and (B) are equal

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

(A) is greater

(B) is greater

Correct answer:

(A) and (B) are equal

Explanation:

The -intercept of any line is the point at which the line intersects the -axis; therefore, its -coordinate is 0. Similarly, the -coordinate of the -intercept is 0. The quantities are equal.

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Example Question #74 : Algebraic Concepts

Given the line of the equation 0.5x+ 0.4y = -400 , which is the greater quantity?

(A) The -coordinate of the -intercept of the line

(B) The -coordinate of the -intercept of the line

Possible Answers:

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

(B) is greater

(A) is greater

(A) and (B) are equal

Correct answer:

(A) is greater

Explanation:

The -coordinate of the -intercept of the line is 0, so to find the -coordinate, set y = 0 and solve for :

0.5x+ 0.4y = -400

$0.5x+ 0.4 \cdot 0 = -400$

0.5x+ 0 = -400

0.5x = -400

$0.5x \div 0.5 = -400 \div 0.5$

x = -800

Similarly, to find the -coordinate of the -intercept, set x= 0 and solve for :

0.5x+ 0.4y = -400

$0.5 \cdot 0+ 0.4y = -400$

0+ 0.4y = -400

0.4y = -400

$0.4y \div 0.4 = -400 \div 0.4$

y = -1,000

(A), the -coordinate of the -intercept of the line, is greater.

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All ISEE Upper Level Quantitative Resources

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ISEE Upper Level Quantitative : ISEE Upper Level (grades 9-12) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Upper Level Quantitative

All ISEE Upper Level Quantitative Resources

Example Questions

Example Question #61 : Algebraic Concepts

Example Question #61 : Equations

Example Question #63 : Equations

Example Question #744 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Example Question #745 : Isee Upper Level (Grades 9 12) Quantitative Reasoning

Example Question #62 : Equations

Example Question #71 : How To Find The Solution To An Equation

Example Question #72 : Algebraic Concepts

Example Question #73 : Equations

Example Question #74 : Algebraic Concepts

All ISEE Upper Level Quantitative Resources

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