Question 1

Which two expressions are equivalent for any value of $y?$

Accepted Answer

$9(y + 3)$ and $27 + 9y$

Answer

$9(y + 3)$ and $12 + 9y$

Answer

$3(3y + 3)$ and $6y + 6$

Answer

$3(3y + 3)$ and $9y + 6$

Question 2

Which pair of expressions below are equivalent?

Accepted Answer

$4(2x - 6)$ and $8x - 24$

Answer

$7(2x)$ and $9x$

Answer

$x + x + x + x$ and $x^4$

Answer

$3x + 5x$ and $15x$

Question 3

Which pair of expressions is equivalent for any variable value greater than zero?

Accepted Answer

$b + b + 3c$ and $2b + 3c$

Answer

$f + f + f + g $ and $3fg$

Answer

$3(x + 2)$ and $3x + 2$

Answer

$4d + 2e$ and $8d + e$

Question 4

The two expressions below are equivalent.

$\quad y(2.5 + 7) + y -2$
$\quad10.5y -2$
Which statement BEST explains why the expressions are equivalent?

Accepted Answer

The expressions have the same value for any value of $y.$

Answer

The expressions have the same value only when $y$ is an even number.

Answer

The expressions have the same value only when $y$ is an odd number

Answer

The expressions have the same value for only whole number values of $y.$

Question 5

Which two expressions are equivalent?

Accepted Answer

$12x+16x$ and $4(3x+4x)$

Answer

$14x+10-2x$ and $16x+10$

Answer

$x+x+x$ and $x^3$

Answer

$12x^2+5x+10$ and $17x^2+10$

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