Algebraic Concepts

ISEE Middle Level Quantitative Reasoning · Learn by Concept

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ISEE Middle Level Quantitative Reasoning › Algebraic Concepts

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1

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 $x + \textrm{7}$ subtracted from one hundred.

$x + \textrm{7}$ is the sum of a number () and seven.

Therefore,

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

2

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:

$4t \div 4 = 59 \div 4$

$t = 14 \frac{3}{4}$

$3u \div 3 = 41 \div 3$

$u = 13\frac{2}{3}$

.

3

Evaluate .

CORRECT

0

0

0

Explanation

.

4

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

5

Solve for :

$- \frac{1}{4}r - (-3)=34$

CORRECT

0

0

0

Explanation

$- \frac{1}{4}r - (-3)=34$

$- \frac{1}{4}r - (-3) + (-3) =34 + (-3)$

$- \frac{1}{4}r =34 -3$

$- \frac{1}{4}r =31$

$- \frac{1}{4}r \div \left ( - \frac{1}{4} \right ) =31 \div \left ( - \frac{1}{4} \right )$

$r =31 \cdot \left ( - 4 \right )$

6

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.

$8t \div 8 = 114 \div 8$

7

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.

$8t \div 8 = 114 \div 8$

8

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

$-7K\div (-7) = 91 \div (-7)$

$-6M \div (-6) = 72 \div (-6)$

, so .

Therefore , so (B) is greater.

9

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

10

Evaluate .

CORRECT

0

0

0

Explanation

.

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