Lesson 1 Equivalent Expressions

Lesson 1 Equivalent Expressions

By Jacklyn Nelson

Multiple Choice

For all real values of m, 8 + 3(m-5) = ?

• 3m+13

• 3m-7

• 3m+3

• 11m-40

• 11m-55

Multiple Choice

The expression 5x -3(2x-1) is equivalent to?

• -2+4x

• 2-6x

• 8-5x

• 3-x

• 9-6x

Multiple Choice

What polynomial must be added to $$x^2-2x+6$$   so that the sum is $$3x^2+7x$$  

• $$4x^2+5x+6$$  

• $$3x^2+9x+6$$  

• $$3x^2+9x-6$$  

• $$2x^2+9x-6$$  

• $$2x^2-5x+6$$  

Multiple Choice

When $$y=x^2$$  , which of the following expressions is -y=?

• $$\left(-x\right)^2$$   

• $$-x^2$$   

• $$-x$$   

• $$x^{-2}$$   

• x 

Multiple Choice

Which is equivalent to the sum of $$3a^2+a\ +b$$   and $$-4a^2+4a-b$$  ?

• $$7a^2+5a$$  

• $$a^2+5a+2b$$  

• $$-a^2+5a-b^2$$  

• $$-a\left(a+5\right)$$  

• $$-a\left(a-5\right)$$  

Multiple Choice

For all x and y, $$x^2y^2-16=?$$  

• $$\left(xy-16\right)\left(xy+1\right)$$  

• $$\left(xy-8\right)^2$$  

• $$\left(xy-8\right)\left(xy+8\right)$$  

• $$\left(xy-4\right)\left(xy+4\right)$$  

• $$\left(xy-4\right)^2$$  

Multiple Choice

For all x and y, $$\left(2x-y\right)\left(x^2+y\right)=?$$  

• $$2x^2-y^2$$  

• $$2x^3-y^2$$  

• $$2x^3+xy-y^2$$  

• $$2x^3+2xy-x^2y^2$$  

• $$2x^3-x^2y+2xy-y^2$$  

Multiple Choice

(2x-3)(3x-4) is equivalent to?

• $$x^2$$  

• $$5x^2-12x-7$$  

• $$5x^2+12$$  

• $$6x^2-17x+12$$  

• $$6x^2+12$$  

Multiple Choice

Which of the following is equivalent to $$\frac{25a}{4}+\frac{3a}{2}$$  ?

• $$4\ \frac{2}{3}a$$  

• $$7a$$  

• $$7\ \frac{1}{3}a$$  

• $$7\ \frac{3}{4}a$$  

• $$15\ \frac{1}{2}a$$  

Multiple Choice

For all real numbers $$x\ne0$$  , $$\frac{3}{4}+\frac{5}{x}=?$$  

• $$\frac{8}{4x}$$  

• $$\frac{15}{4x}$$  

• $$\frac{8}{4+x}$$  

• $$\frac{5x+12}{4+x}$$  

• $$\frac{3x+20}{4x}$$  

Multiple Choice

If $$b\ne c$$  , what are the real values of a that makes the following inequality true?

$$\frac{ab-ac}{2b-2c}<0$$  

• all positive real numbers

• all negative real numbers

• 2 only

• 1/2 only

• -1/2 only

Multiple Choice

which of the following expressions is NOT a polynomial factor of $$x^4-4$$  ?

• $$x^2-2$$  

• $$x^2+2$$  

• $$x-\sqrt[]{2}$$  

• $$x+\sqrt[]{2}$$  

• x-2

Multiple Choice

Which of the following is equivalent to $$\frac{5}{a}+\frac{9}{2b}$$  ?

• $$\frac{19ab}{2ab}$$  

• $$\frac{9a+10b}{2ab}$$  

• $$\frac{14}{a+2b}$$  

• 9a-10b

Multiple Choice

Which of the following expressions is equivalent to $$3x^4+6x^2-45$$  ?

• $$\left(x^2+5\right)\left(x^2-3\right)$$  

• $$\left(3x^2-15\right)\left(x^2+3\right)$$  

• $$3\left(x^4+6x^2-45\right)$$  

• $$3\left(x^2-5\right)\left(x^2+3\right)$$  

• $$3\left(x^2+5\right)\left(x^2-3\right)$$  

​Thank you...

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