Expand 5(y + 2) using the distributive property.(1 point)

Question

Expand 5(y + 2) using the distributive property.(1 point)
Responses

6y + 10
6 y plus 10

6y + 7
6 y plus 7

5y + 10
5 y plus 10

5y + 2
5 y plus 2

GPT-4o mini · Answer

To expand $ 5(y + 2) $ using the distributive property, you multiply 5 by each term inside the parentheses: $$ 5(y + 2) = 5 \cdot y + 5 \cdot 2 = 5y + 10. $$ So, the correct response is: **5y + 10** (or **5 y plus 10**).

nope · Answer

Expand −5(−3 − 11g).(1 point) Responses 55g + 15 55 g plus 15 ​​​55g − 15 55 g minus 15 −55g + 15 negative 55 g plus 15 −55g − 15

GPT-4o mini · Answer

To expand $-5(-3 - 11g)$ using the distributive property, you multiply $-5$ by each term inside the parentheses: $$ -5(-3 - 11g) = -5 \cdot (-3) + -5 \cdot (-11g) = 15 + 55g. $$ So, rewriting it gives: $$ 55g + 15. $$ The correct response is: **55g + 15** (or **55 g plus 15**).

nope · Answer

Expand 1/3(q−6) using the Distributive Property.(1 point)
Responses

−1/3q+6
negative Start Fraction 1 over 3 End Fraction q plus 6

1/3q−6
Start Fraction 1 over 3 End Fraction q minus 6

−1/3q+2
negative Start Fraction 1 over 3 End Fraction q plus 2

1/3q−2

GPT-4o mini · Answer

To expand $\frac{1}{3}(q - 6)$ using the distributive property, you multiply $\frac{1}{3}$ by each term inside the parentheses: $$ \frac{1}{3}(q - 6) = \frac{1}{3}q + \frac{1}{3}(-6) = \frac{1}{3}q - 2. $$ So, the correct response is: **$\frac{1}{3}q - 2$** (or **Start Fraction 1 over 3 End Fraction q minus 2**).

nope · Answer

Expand 25(−5c+10).(1 point) Responses 2c−10 2c minus 10 −2c+10 negative 2c plus 10 2c−4 2c minus 4 −2c+4

GPT-4o mini · Answer

To expand $ 25(-5c + 10) $ using the distributive property, you multiply $ 25 $ by each term inside the parentheses: $$ 25(-5c + 10) = 25 \cdot (-5c) + 25 \cdot 10. $$ Calculating each term: $$ 25 \cdot (-5c) = -125c, $$ $$ 25 \cdot 10 = 250. $$ So, combining these results gives: $$ -125c + 250. $$ This does not match any of the provided options. If we simplify further (and perhaps there was a misunderstanding in the given problem or options), we can state that: **The expanded expression is $-125c + 250$, but does not match any of the responses you provided.** If you wanted a specific outcome, please verify the original expression or intended values.

nope · Answer

Expand 2/5(−5c+10).(1 point) Responses 2c−10 2c minus 10 −2c+10 negative 2c plus 10 2c−4 2c minus 4 −2c+4

GPT-4o mini · Answer

To expand $\frac{2}{5}(-5c + 10)$ using the distributive property, we multiply $\frac{2}{5}$ by each term inside the parentheses: $$ \frac{2}{5}(-5c + 10) = \frac{2}{5} \cdot (-5c) + \frac{2}{5} \cdot 10. $$ Calculating each term: 1. For $\frac{2}{5} \cdot (-5c)$: $$ \frac{2 \cdot -5c}{5} = -2c. $$ 2. For $\frac{2}{5} \cdot 10$: $$ \frac{2 \cdot 10}{5} = \frac{20}{5} = 4. $$ Combining these results gives: $$ -2c + 4. $$ So, the correct response is: **$-2c + 4$** (or **negative 2c plus 4**).

nope · Answer

Expand −7/6(3g+2).(1 point)
Responses

72g+2
Start Fraction 7 over 2 End Fraction g plus 2

−7/2g−7/3
negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

7/2g−7/3
Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction

−7/2g+2

GPT-4o mini · Answer

To expand $-\frac{7}{6}(3g + 2)$ using the distributive property, we multiply $-\frac{7}{6}$ by each term inside the parentheses: $$ -\frac{7}{6}(3g + 2) = -\frac{7}{6} \cdot 3g + -\frac{7}{6} \cdot 2. $$ Calculating each term: 1. For $-\frac{7}{6} \cdot 3g$: $$ -\frac{7 \cdot 3g}{6} = -\frac{21}{6}g = -\frac{7}{2}g \quad \text{(simplifying by dividing the numerator and denominator by 3)}. $$ 2. For $-\frac{7}{6} \cdot 2$: $$ -\frac{7 \cdot 2}{6} = -\frac{14}{6} = -\frac{7}{3} \quad \text{(simplifying by dividing the numerator and denominator by 2)}. $$ Combining these results gives: $$ -\frac{7}{2}g - \frac{7}{3}. $$ So, the correct response is: **$-\frac{7}{2}g - \frac{7}{3}$** (or **negative Start Fraction 7 over 2 End Fraction g minus Start Fraction 7 over 3 End Fraction**).