EOC Day 2 - Equivalent Expressions

EOC Bootcamp

Day 2

Equivalent Expression

Matching in Desmos

• Change the variables to X

• OR, use the variables given and set letter equal to small values in different lines

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Plug equations/expressions into Desmos

Look for the one that is a perfect match

• THAT'S YOUR ANSWER

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Multiple Choice

Which expression is equivalent to $$2x^2+\left(4x-6x^2\right)+9-\left(6x+3\right)$$

• $$-4x^2-2x+12$$

• $$-4x^2-2x+6$$

• $$-10x+6$$

• $$18x+12$$

Multiple Choice

Which expression is equivalent to $$9q^2-\frac{2}{3}\left(3q-7\right)+5q^2$$ ?

• $$9q^2-\frac{5}{3}q-3$$

• $$9q^2-2q-3$$

• $$14q^2-2q+\frac{14}{3}$$

• $$14q^2-\frac{5}{3}q-\frac{14}{3}$$

Multiple Choice

Which expression is equivalent to $$\left(\frac{3}{2}p+1\right)\left(\frac{1}{2}p+3\right)$$ ?

• $$2p^2+3$$

• $$4p^2+3$$

• $$\frac{3}{4}p^2+5p+3$$

• $$\frac{3}{4}p^2+10p+3$$

Multiple Choice

Which expression is equivalent to $$35m^2-63$$ ?

• $$7\left(5m^2-9\right)$$

• $$-7\left(5m^2+9\right)$$

• $$7m\left(5m-9\right)$$

• $$-7m\left(5m+9\right)$$

Multiple Choice

Which expression is equivalent to $$210d^2-63d$$ ?

• $$21d\left(10d-3\right)$$

• $$21d\left(10d+3\right)$$

• $$21\left(10d+3\right)$$

• $$21\left(10d-3\right)$$

Multiple Choice

Which expression is equivalent to $$\frac{c^8\left(d^6\right)^3}{c^2}$$ for all values of c for which the expression is defined?

• $$c^4d^9$$

• $$c^4d^{18}$$

• $$c^6d^9$$

• $$c^6d^{18}$$

Multiple Choice

Which expression is equivalent to $$\left(x^9yz^4\right)^5$$ ?

• $$x^{14}y^6z^9$$

• $$x^{14}y^5z^9$$

• $$x^{45}yz^{20}$$

• $$x^{45}y^5z^{20}$$

Multiple Choice

Which expression is equivalent to $$\left(15a^0b^2c^{34}\right)\left(3a^{16}b^{-29}c^0\right)$$ for all values of a, b, and c where the expression is defined?

• $$\frac{18}{b^{58}}$$

• $$\frac{45}{b^{58}}$$

• $$\frac{18a^{16}c^{34}}{b^{27}}$$

• $$\frac{45a^{16}c^{34}}{b^{27}}$$

Multiple Choice

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A: $$\frac{1}{2}g^2+\frac{7}{2}$$

Store B: $$3g^2-\frac{4}{5}g+\frac{1}{4}$$

Which expression represents the combined inventory of the two stores?

• $$\frac{7}{2}g^2-\frac{4}{5}g+\frac{15}{4}$$

• $$\frac{7}{2}g^2-\frac{4}{5}g+\frac{4}{3}$$

• $$\frac{7}{2}g^2+\frac{4}{5}g+\frac{15}{4}$$

• $$\frac{7}{2}g^2+\frac{4}{5}g+\frac{4}{3}$$

Literal Equations (isolate the variable)

Solve for w.

Labelling

Solve for a.

$$f=-c+a$$

Drag labels to their correct position on the image

f

-

+

c

Labelling

Solve for g.

$$Fg=5$$

Drag labels to their correct position on the image

*

-

F

5

+

Literal Equations (isolate the variable)

Solve for f.

Labelling

Solve for A.

$$H=\frac{A}{4B+g^2}$$

Drag labels to their correct position on the image

*

/

4B

-

H

+

Literal Equations (isolate the variable)

Solve for B.

Labelling

Solve for a.

$$ax+by=c$$

Drag labels to their correct position on the image

x

y

b

+

-

*

c

Literal Equations (isolate the variable)

Solve for w.