Equations and inequalities

Translate the following sentence into an equation:

The quotient of a number and negative seven is nine.

• $-7n\ =\ 9$

• $\frac{n}{-7}\ =\ 9$

• $n-7\ =\ 9$

• $\frac{-7}{n}\ =\ 9$

Translate the following sentence into an equation:

Four more than the product of eight and a number is forty-four.

• $\left(8\ +\ n\right)\ -\ 4\ =\ 44$

• $4\ +\ \left(\frac{8}{n}\right)\ =\ 44$

• $8n\ +\ 4\ =\ 44$

• $4\ +\ \frac{n}{8}=44$

Translate the following sentence into an equation:

Twice a number is the difference of eighteen and ten.

• $n^2\ =\ 18\ -\ 10$

• $2n\ -18\ =\ 10$

• $2n\ =\ 10\ -\ 18$

• $2n\ =\ 18\ -\ 10$

Translate the following sentence into an equation:

Twenty-five less than the quotient of a number and ten is five.

• $\frac{n}{10}-25\ =5\$

• $25\ -\ \frac{n}{10}\ =5\$

• $10n\ -\ 25\ =\ 5$

• $25\ -\ 10n\ =\ 5$

Translate the following sentence into an inequality:
Fourteen is less than the sum of seven and a number.

•  $14\ <\ n\ +\ 7$  

•  $14\ >\ \ 7\ +\ n$  

•  $14\ \le\ n\ +\ 7$  

•  $14\ -\ \left(7\ +\ n\right)$  

Tags

CCSS.7.EE.B.4B

Translate the following sentence into an inequality:
The product of negative twelve and a number is at least four.

•  $-12n\ \ \le\ \ 4$  

•  $\frac{-12}{n}\ \ge\ 4$  

•  $-12n\ \ge\ 4$  

•  $\frac{-12}{n}\ \le\ 4$  

Tags

CCSS.6.EE.B.8

Translate the following sentence into an inequality:

If you increase the difference of six and a number by two, it will be no more than fifteen.

• $\left(6\ -\ n\right)\ +\ 2\ \ge\ 15$

• $\left(6\ -\ n\right)\ +\ 2\ \le\ 15$

• $6\ -\ \left(n\ +\ 2\right)\ \le\ 15$

• $6\ -\ \left(n\ +\ 2\right)\ \ge\ 15$

Tags

CCSS.7.EE.B.4B

Which is the solution to the following equation:

 $25\ -\ 2x\ =\ 15$  

•  $10$  

•  $12$  

•  $4$  

•  $5$  

Tags

CCSS.7.EE.B.4A

What is the solution to the following equation?

 $9\left(x\ -\ 3\right)\ =\ 18$  

•  $2$  

•  $4$  

•  $5$  

•  $6$  

Tags

CCSS.7.EE.B.4A

Which is the solution to the following equation?

 $6^2\ -\ 3n\ =\ 30$  

•  $2$  

•  $3$  

•  $4$  

•  $5$