Math / Algebra

QuestionUse the distributive property to rewrite the expression. $-\frac{1}{7}(28 y+3)$

Studdy Solution

STEP 1

1. We are asked to rewrite the expression using the distributive property.
2. The expression involves a multiplication of a fraction with a binomial.

STEP 2

1. Apply the distributive property to the expression $-\frac{1}{7}(28y + 3)$ .
2. Simplify each term after distribution.

STEP 3

Apply the distributive property, which states that $a(b + c) = ab + ac$ , to the expression $-\frac{1}{7}(28y + 3)$ .
$-\frac{1}{7} \times 28y + -\frac{1}{7} \times 3$

STEP 4

Simplify each term separately.
First term: $-\frac{1}{7} \times 28y = -\frac{28}{7}y = -4y$
Second term: $-\frac{1}{7} \times 3 = -\frac{3}{7}$

STEP 5

Combine the simplified terms to rewrite the expression.
$-4y - \frac{3}{7}$

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QuestionUse the distributive property to rewrite the expression. $-\frac{1}{7}(28 y+3)$

Studdy Solution

STEP 1

1. We are asked to rewrite the expression using the distributive property.
2. The expression involves a multiplication of a fraction with a binomial.

STEP 2

1. Apply the distributive property to the expression $-\frac{1}{7}(28y + 3)$ .
2. Simplify each term after distribution.

STEP 3

Apply the distributive property, which states that $a(b + c) = ab + ac$ , to the expression $-\frac{1}{7}(28y + 3)$ .
$-\frac{1}{7} \times 28y + -\frac{1}{7} \times 3$

STEP 4

Simplify each term separately.
First term: $-\frac{1}{7} \times 28y = -\frac{28}{7}y = -4y$
Second term: $-\frac{1}{7} \times 3 = -\frac{3}{7}$

STEP 5

Combine the simplified terms to rewrite the expression.
$-4y - \frac{3}{7}$

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QuestionUse the distributive property to rewrite the expression. −17(28y+3)-\frac{1}{7}(28 y+3)−71​(28y+3)

Studdy Solution

STEP 1

1. We are asked to rewrite the expression using the distributive property.2. The expression involves a multiplication of a fraction with a binomial.

STEP 2

1. Apply the distributive property to the expression −17(28y+3)-\frac{1}{7}(28y + 3)−71​(28y+3).2. Simplify each term after distribution.

STEP 3

Apply the distributive property, which states that a(b+c)=ab+aca(b + c) = ab + aca(b+c)=ab+ac, to the expression −17(28y+3)-\frac{1}{7}(28y + 3)−71​(28y+3).−17×28y+−17×3 -\frac{1}{7} \times 28y + -\frac{1}{7} \times 3 −71​×28y+−71​×3

STEP 4

Simplify each term separately.First term: −17×28y=−287y=−4y -\frac{1}{7} \times 28y = -\frac{28}{7}y = -4y −71​×28y=−728​y=−4ySecond term: −17×3=−37 -\frac{1}{7} \times 3 = -\frac{3}{7} −71​×3=−73​

STEP 5

Combine the simplified terms to rewrite the expression.−4y−37 -4y - \frac{3}{7} −4y−73​

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QuestionUse the distributive property to rewrite the expression. $-\frac{1}{7}(28 y+3)$

1. We are asked to rewrite the expression using the distributive property.
2. The expression involves a multiplication of a fraction with a binomial.

1. Apply the distributive property to the expression $-\frac{1}{7}(28y + 3)$ .
2. Simplify each term after distribution.

Apply the distributive property, which states that $a(b + c) = ab + ac$ , to the expression $-\frac{1}{7}(28y + 3)$ .
$-\frac{1}{7} \times 28y + -\frac{1}{7} \times 3$

Simplify each term separately.
First term: $-\frac{1}{7} \times 28y = -\frac{28}{7}y = -4y$
Second term: $-\frac{1}{7} \times 3 = -\frac{3}{7}$

Combine the simplified terms to rewrite the expression.
$-4y - \frac{3}{7}$