Simplify the following : x + 1 x - 1 - x - 4 x + 4

Given: x + 1 x - 1 - x - 4 x + 4 A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials. If there is no common factor between the denominators then the LCM is simply the product of the denominators. ⇒ x + 1 x - 1 × 1 x + 4 - x - 4 x + 4 × 1 x - 1 ⇒ x + 1 x - 1 x + 4 - x - 4 x - 1 x + 4 Simplifying the answer completely, ⇒ x + 1 - x + 4 x - 1 x + 4 ⇒ 5 x - 1 x + 4 Hence, the answer is 5 x - 1 x + 4 .

Simplify the following : x + 1 x - 1 - x - 4 x + 4

Given: x + 1 x - 1 - x - 4 x + 4 A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials. If there is no common factor between the denominators then the LCM is simply the product of the denominators. ⇒ x + 1 x - 1 × 1 x + 4 - x - 4 x + 4 × 1 x - 1 ⇒ x + 1 x - 1 x + 4 - x - 4 x - 1 x + 4 Simplifying the answer completely, ⇒ x + 1 - x + 4 x - 1 x + 4 ⇒ 5 x - 1 x + 4 Hence, the answer is 5 x - 1 x + 4 .

Simplify the following : 9 x - 1 - 9 x - 4 x 2 - 1

Given: 9 x - 1 - 9 x - 4 x 2 - 1 A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials. If there is no common factor between the denominators then the LCM is simply the product of the denominators. ⇒ 9 x - 1 × 1 x 2 - 1 - 9 x - 4 x 2 - 1 × 1 x - 1 ⇒ 9 x - 1 x 2 - 1 - 9 x - 4 x - 1 x 2 - 1 Simplifying the answer completely, ⇒ 9 - 9 x + 4 x - 1 x + 1 x - 1 ⇒ 13 - 9 x x - 1 2 x + 1 Hence, the answer is 13 - 9 x x - 1 2 x + 1 .

Simplify the following : 3 a + 5 b - a + b 4

Given: 3 a + 5 b - a + b 4 A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials. If there is no common factor between the denominators then the LCM is simply the product of the denominators. ⇒ 3 a × 1 4 b + 5 b × 1 4 a - a + b 4 × 1 a b ⇒ 3 4 a b + 5 4 a b - a + b 4 a b Simplifying the answer completely, ⇒ 3 + 5 - a - b 4 a b ⇒ 8 - a - b 4 a b Hence, the answer is 8 - a - b 4 a b .

Simplify the following : x + 1 6 + 2 x - x x - 2

Given: x + 1 6 + 2 x - x x - 2 A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials. If there is no common factor between the denominators then the LCM is simply the product of the denominators. ⇒ x + 1 6 × 1 x x - 2 + 2 x × 1 6 x - 2 - x x - 2 × 1 6 x ⇒ x + 1 6 x x - 2 + 2 6 x x - 2 - x 6 x x - 2 Simplifying the answer completely, ⇒ x + 1 + 2 - x 6 x x - 2 ⇒ 3 6 x x - 2 ⇒ 1 2 x x - 2 Hence, the answer is 1 2 x x - 2 .

EASY

MYP:4-5

IMPORTANT

Earn 100

Simplify the following :

$\frac{x + 1}{x - 1} - \frac{x - 4}{x + 4}$

Important Questions on Rational Algebraic Expressions

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Mixed practice>Q 12

Simplify the following :

$\frac{9}{x - 1} - \frac{9 x - 4}{x^{2} - 1}$

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Mixed practice>Q 13

Simplify the following :

$\frac{3}{a} + \frac{5}{b} - \frac{a + b}{4}$

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Mixed practice>Q 14

Simplify the following :

$\frac{x + 1}{6} + \frac{2}{x} - \frac{x}{x - 2}$

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Review in context>Q 1

Three resistors, $A, B and C$ , are connected in parallel. Resistor $A$ has resistance $r$ ohms. Resistor $B' s$ resistance is $4$ ohms larger than resistor $A' s$ . Resistor $C$ , the largest, has a resistance two ohms more than twice that of resistor $A$ . Write down an expression for the total resistance of the circuit. Simplify the expression into a single fraction

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Review in context>Q 1

Three resistors,

A, B and C

, are connected in parallel. Resistor A has resistance

r

ohms. Resistor

B' s

resistance is

4

ohms larger than resistor

A' s

. Resistor

C

, the largest, has a resistance two ohms more than twice that of resistor

A

. Write down an expression for the total resistance of the circuit. Simplify the expression into a single fraction. A fourth resistor,

D

, has the same resistance as resistor

C

. It is connected in series with resistors

A, B, and C

. Write down an expression for the total resistance of the circuit. Simplify the expression into a single fraction.

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Review in context>Q 2

Ohm's Law states that the voltage

(V)

, in an electrical circuit with current

(I)

and total resistance,

R

, is given by

V = I R

. Make

I

as the subject of the formula.

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Review in context>Q 2

Ohm's Law states that the voltage $(V)$ , in an electrical circuit with current $(I)$ and total resistance, $R$ , is given by $V = I R$ . Make $I$ as the subject of the formula.

Circuit $A$ has a resistor of $6$ ohms and a second resistor with resistance $r$ , connected in series. Circuit $B$ has a resistor of $5$ ohms and a second resistor with resistance $3 r$ . Circuit $A$ and circuit $B$ are connected in parallel. The voltage in the complete circuit is $12$ volts. Find the total resistance of the circuit and hence find an expression for the total current flowing through the complete circuit in terms of $r$ .

EASY

MYP:4-5

IMPORTANT

Extended MYP Mathematics A Concept based approach Years 4 & 5>Chapter 11 - Rational Algebraic Expressions>Review in context>Q 3

Determine how many times larger the force of gravity is when the distance between the two masses is halved.

Simplify the following : x+1x-1-x-4x+4

Important Questions on Rational Algebraic Expressions

Learn and Prepare for any exam you want !

Simplify the following :

$\frac{x + 1}{x - 1} - \frac{x - 4}{x + 4}$