Question

n-gen math® 7 homework
fluency

1. the expression $5x + 7x$ can be simplified into which of the following?

(1) $12x$
(3) $12x^2$
(2) $35x$
(4) $35x^2$

1. the expression $2n - 11n$ is equal to

(1) $9n$
(3) $-9n$
(2) $13n$
(4) $-13n$

1. which of the following is the simplified form of $3x + 7 + 8x - 2$?

(1) $16x$
(3) $11x + 9$
(2) $11x + 5$
(4) $24x^2 - 14$

1. one of the two following expressions cannot be simplified. circle which cannot be simplified and explain why it cannot.

$8x + 10x$
$8x + 10y$
explanation:

1. rewrite each of the following in simplest form by combining like terms.

(a) $9x + 14x$
(b) $-2n + 10n$
(c) $8y - 14y$
(d) $-6w - 11w$

Explanation:

Step1: Combine like terms

$5x + 7x = (5+7)x = 12x$

Step2: Match with options

The result matches option (1)

Step1: Combine like terms

$2n - 11n = (2-11)n = -9n$

Step2: Match with options

The result matches option (3)

Step1: Group like terms

$3x + 8x + 7 - 2$

Step2: Combine like terms

$(3+8)x + (7-2) = 11x + 5$

Step3: Match with options

The result matches option (2)

Only like terms (terms with the same variable raised to the same power) can be combined. $8x$ and $10y$ have different variables, so they cannot be simplified further, while $8x$ and $10x$ are like terms that can be combined.

Answer:

(1) $12x$

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