QuestionFind the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

Studdy Solution

STEP 1

Assumptions1. The expression given is $7(-3 t)$ . We are looking for an equivalent expression from the options provided

STEP 2

The expression $7(- t)$ can be simplified by applying the distributive property of multiplication over addition. In this case, we multiply7 by -t.
$7(- t) =7 \\times -t$

STEP 3

Calculate the product.
$7 \\times -3t = -21t$ Now let's check each of the provided options to see if any of them are equivalent to $-21t$ .

STEP 4

Check the first option $7-3 t$
This option is not equivalent to $-21t$ because it represents the difference between7 and3t, not the product of7 and -3t.

STEP 5

Check the second option $t(-3 \cdot7)$ This option is equivalent to $-21t$ because it represents the product of t and -21, which is the same as $-21t$ .

STEP 6

Check the third option $(t-3)$ This option is not equivalent to $-21t$ because it represents the product of and the difference between t and3, not the product of and -3t.

STEP 7

Check the fourth option $t-21$
This option is not equivalent to $-21t$ because it represents the difference between t and21, not the product of7 and -3t.
The expression equivalent to $7(-3 t)$ is $t(-3 \cdot7)$ .

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QuestionFind the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

Studdy Solution

STEP 1

Assumptions1. The expression given is $7(-3 t)$ . We are looking for an equivalent expression from the options provided

STEP 2

The expression $7(- t)$ can be simplified by applying the distributive property of multiplication over addition. In this case, we multiply7 by -t.
$7(- t) =7 \\times -t$

STEP 3

Calculate the product.
$7 \\times -3t = -21t$ Now let's check each of the provided options to see if any of them are equivalent to $-21t$ .

STEP 4

Check the first option $7-3 t$
This option is not equivalent to $-21t$ because it represents the difference between7 and3t, not the product of7 and -3t.

STEP 5

Check the second option $t(-3 \cdot7)$ This option is equivalent to $-21t$ because it represents the product of t and -21, which is the same as $-21t$ .

STEP 6

Check the third option $(t-3)$ This option is not equivalent to $-21t$ because it represents the product of and the difference between t and3, not the product of and -3t.

STEP 7

Check the fourth option $t-21$
This option is not equivalent to $-21t$ because it represents the difference between t and21, not the product of7 and -3t.
The expression equivalent to $7(-3 t)$ is $t(-3 \cdot7)$ .

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QuestionFind the expression equivalent to 7(−3t)7(-3 t)7(−3t). Options: 7−3t7-3 t7−3t, t(−3⋅7)t(-3 \cdot 7)t(−3⋅7), 7(t−3)7(t-3)7(t−3), t−21t-21t−21.

Studdy Solution

STEP 1

Assumptions1. The expression given is 7(−3t)7(-3 t)7(−3t). We are looking for an equivalent expression from the options provided

STEP 2

The expression 7(−t)7(- t)7(−t) can be simplified by applying the distributive property of multiplication over addition. In this case, we multiply7 by -t.7(−t)=7times−t7(- t) =7 \\times -t7(−t)=7times−t

STEP 3

Calculate the product.7times−3t=−21t7 \\times -3t = -21t7times−3t=−21tNow let's check each of the provided options to see if any of them are equivalent to −21t-21t−21t.

STEP 4

Check the first option 7−3t7-3 t7−3tThis option is not equivalent to −21t-21t−21t because it represents the difference between7 and3t, not the product of7 and -3t.

STEP 5

Check the second option t(−3⋅7)t(-3 \cdot7)t(−3⋅7)This option is equivalent to −21t-21t−21t because it represents the product of t and -21, which is the same as −21t-21t−21t.

STEP 6

Check the third option (t−3)(t-3)(t−3)This option is not equivalent to −21t-21t−21t because it represents the product of and the difference between t and3, not the product of and -3t.

STEP 7

Check the fourth option t−21t-21t−21This option is not equivalent to −21t-21t−21t because it represents the difference between t and21, not the product of7 and -3t.The expression equivalent to 7(−3t)7(-3 t)7(−3t) is t(−3⋅7)t(-3 \cdot7)t(−3⋅7).

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QuestionFind the expression equivalent to $7(-3 t)$ . Options: $7-3 t$ , $t(-3 \cdot 7)$ , $7(t-3)$ , $t-21$ .

Assumptions1. The expression given is $7(-3 t)$ . We are looking for an equivalent expression from the options provided

The expression $7(- t)$ can be simplified by applying the distributive property of multiplication over addition. In this case, we multiply7 by -t.
$7(- t) =7 \\times -t$

Calculate the product.
$7 \\times -3t = -21t$ Now let's check each of the provided options to see if any of them are equivalent to $-21t$ .

Check the first option $7-3 t$
This option is not equivalent to $-21t$ because it represents the difference between7 and3t, not the product of7 and -3t.

Check the second option $t(-3 \cdot7)$ This option is equivalent to $-21t$ because it represents the product of t and -21, which is the same as $-21t$ .

Check the third option $(t-3)$ This option is not equivalent to $-21t$ because it represents the product of and the difference between t and3, not the product of and -3t.

Check the fourth option $t-21$
This option is not equivalent to $-21t$ because it represents the difference between t and21, not the product of7 and -3t.
The expression equivalent to $7(-3 t)$ is $t(-3 \cdot7)$ .