Equations

Help Questions

ISEE Middle Level Quantitative Reasoning › Equations

Questions 1 - 10

1

Solve the equation:

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.

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

2

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(a) and (b) are equal

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

(b) is the greater quantity

Explanation

3

Which is greater?

(A)

(B)

(B) is greater

(A) is greater

(A) and (B) are equal

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

Explanation

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

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

, so .

Therefore , so (B) is greater.

4

Solve the equation:

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.

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

5

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(a) and (b) are equal

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

(b) is the greater quantity

Explanation

6

Evaluate .

Explanation

.

7

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

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

Explanation

Solving both equations:

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

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

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

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

.

8

Solve for :

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

Explanation

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

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

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

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

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

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

9

Which is greater?

(A)

(B)

(B) is greater

(A) is greater

(A) and (B) are equal

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

Explanation

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

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

, so .

Therefore , so (B) is greater.

10

Which is the greater quantity?

(a)

(b)

(a) is the greater quantity

(b) is the greater quantity

(a) and (b) are equal

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

Explanation

Solving both equations:

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

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

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

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

.

Page 1 of 95

Return to subject