**REVISION EXERCISE****(a)** Consider the expression $2x^2 - 8xy - 9y^2 + 7$ 1. How many terms are there? 2. What is the constant term? 3. State the coefficient of the term in $x^2$, $y^2$, $x$, and $y$. 4. Determine the value of the expression if $x = 2$ and $y = -1$.**(b)** If $x = 1$ and $y = 4$, determine the value of the following expressions: 1. $\frac{y}{x^2}$ 2. $\frac{xy}{1 - 3x^2}$ 3. $\frac{x - y}{2xy + 5y}$ 4. $\frac{(x - y)^2}{y}$ 5. $\frac{y - 2x}{\sqrt{5x^2 + 2y + 7}}$**(c)** Simplify: 1. $(3m^2 + 3n)^4 + 4mn^2$ 2. $(-8x^2 - 2x)^2$ 3. $(3(x^3)(5d^4 + 6d^4)^-3) \div (m^2 + m)(mn)^5$ 4. $\frac{4mn^2 - 7mn + \frac{(mn)^7(mn^2)}{m^2 - m}}{mb}$ 5. $\frac{(8^-7)^2x^2}{(3d)^3(5d^2)^6d^4}$ 6. $\frac{m(m + n)}{m^2 + 7m}$ 7. $(2x^2 + 2y^2)(4xy)$ 8. $(mn)^-3$ 9. $((x - \frac{1}{y})^6 + (3a^2)^3)^j$ 10. \((3 + 7

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Description: **REVISION EXERCISE****(a)** Consider the expression \(2x^2 - 8xy - 9y^2 + 7$ 1. How many terms are there? 2. What is the constant term? 3. State the coefficient of the term in $x^2$, $y^2$, $x$, and $y$. 4. Determine the value of the e

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REVISION EXERCISE Consider the expression 2x -8ry-9y +7 How many terms are there? State the coefficient of the term in x. y.x and y Determine the value of the expression if x=2 and y =-1 (a) (1) (2) What is the constant term? (3) (4) (b) If x=- and y = 4, determine the value of the following expressions: (1) (2) (3) ) (r-y (4) y-2x xy x-y V2xy + Sy (8) -Sr²+2y+7 y-2r Simplify: m + 3m + 4m -8 -2r (3dX-Sa*)+6d* (5) (6) 1-3 (7) (c) 4m*n- 7mn (mnX7mn² X3m²) (3d(-Sd²X6d*) (2)-(y (12) (-2r)'-(-2xr)* (1) (2) (3) (5) (-&r'X-2r') (8) (2r).(x)" (11) 3(a*y'+(3a³y' (4) (6) (7) (9) (10) 3(a*y. (3a²y' Simplify: -(m - 3mn) --5x-6)-2r (5) (2p-4pX2p² -1) (6) 2p-4p(2p² -1) -3x(x -2x -4x)-x(2r² – 3x+1) Simplify: (d) (2) 3(a-b)-2(2a -b) (3) ²-5x-6)-2x) (1) (4) (7) (e) (-Sm'n*y? (1) (2) (3) -Sab' ed Zab 32-12 3x (4) (5) (6) -3ab 95

REVISION EXERCISE Consider the expression 2x -8ry-9y +7 How many terms are there? State the coefficient of the term in x. y.x and y Determine the value of the expression if x=2 and y =-1 (a) (1) (2) What is the constant term? (3) (4) (b) If x=- and y = 4, determine the value of the following expressions: (1) (2) (3) ) (r-y (4) y-2x xy x-y V2xy + Sy (8) -Sr²+2y+7 y-2r Simplify: m + 3m + 4m -8 -2r (3dX-Sa)+6d (5) (6) 1-3 (7) (c) 4mn- 7mn (mnX7mn² X3m²) (3d(-Sd²X6d) (2)-(y (12) (-2r)'-(-2xr)* (1) (2) (3) (5) (-&r'X-2r') (8) (2r).(x)" (11) 3(ay'+(3a³y' (4) (6) (7) (9) (10) 3(ay. (3a²y' Simplify: -(m - 3mn) --5x-6)-2r (5) (2p-4pX2p² -1) (6) 2p-4p(2p² -1) -3x(x -2x -4x)-x(2r² – 3x+1) Simplify: (d) (2) 3(a-b)-2(2a -b) (3) ²-5x-6)-2x) (1) (4) (7) (e) (-Sm'n*y? (1) (2) (3) -Sab' ed Zab 32-12 3x (4) (5) (6) -3ab 95

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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Question

**REVISION EXERCISE**

**(a)** Consider the expression $2x^2 - 8xy - 9y^2 + 7$
1. How many terms are there?
2. What is the constant term?
3. State the coefficient of the term in $x^2$, $y^2$, $x$, and $y$.
4. Determine the value of the expression if $x = 2$ and $y = -1$.

**(b)** If $x = 1$ and $y = 4$, determine the value of the following expressions:
1. $\frac{y}{x^2}$
2. $\frac{xy}{1 - 3x^2}$
3. $\frac{x - y}{2xy + 5y}$
4. $\frac{(x - y)^2}{y}$
5. $\frac{y - 2x}{\sqrt{5x^2 + 2y + 7}}$

**(c)** Simplify:
1. $(3m^2 + 3n)^4 + 4mn^2$
2. $(-8x^2 - 2x)^2$
3. $(3(x^3)(5d^4 + 6d^4)^-3) \div (m^2 + m)(mn)^5$
4. $\frac{4mn^2 - 7mn + \frac{(mn)^7(mn^2)}{m^2 - m}}{mb}$
5. $\frac{(8^-7)^2x^2}{(3d)^3(5d^2)^6d^4}$
6. $\frac{m(m + n)}{m^2 + 7m}$
7. $(2x^2 + 2y^2)(4xy)$
8. $(mn)^-3$
9. $((x - \frac{1}{y})^6 + (3a^2)^3)^j$
10. \((3 + 7

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