More on equations and inequalities

Translate the following phrase:
Forty is the sum of a number and twenty-eight. 

•  $40\ =\ n\ -\ 28$  

•  $40\ =\ \frac{n}{28}$  

•  $40\ =\ n\ +\ 28$  

•  $40\ =\ 28n$  

Translate the following phrase into a mathematical expression:

The quotient of seventy and a number, decreased by twelve.

• $70n\ -\ 12$

• $\frac{70}{n}-12$

• $\left(70\ +n\right)\ -\ 12$

• $\left(70\ \div\ n\right)\ +\ 12$

Tags

CCSS.6.EE.A.2A

Translate into a mathematical expression:

Fifteen less than the square of a number

• $15\ -\ 2n$

• $15\ -\ n^2$

• $15\ <n^2$

• $n^2\ -\ 15$

Tags

CCSS.6.EE.A.2A

Translate into an mathematical expression:

Three times the sum of a number and six is thirty-three.

• $\left(n+6\right)^3\ =\ 33$

• $3\left(n+6\right)\ =\ 33$

• $3\ \times n+\ 6\ =\ 33$

• $\left(3n\right)\ +\ 6\ =\ 33$

Translate the following into a mathematical expression:

The difference of a number and fourteen is more than twice the number.

• $\left(n\ -\ 14\right)\ >\ 2n$

• $\left(14\ -\ n\right)\ +\ 2n$

• $\left(n\ -\ 14\right)\ +\ 2n$

• $\left(n\ -\ 14\right)\ >\ n^2$

Tags

CCSS.7.EE.B.4B

Translate the following into a mathematical expression:

Eighteen less than the quotient of a number and five is no more than six.

• $18\ -\ \left(n\ \div\ 5\right)\ \le\ 6$

• $18\ -\ \frac{n}{5}\ \ge\ \ 6$

• $\frac{n}{5}-18\ \ge\ 6$

• $\frac{n}{5}-18\ \le\ 6$

Tags

CCSS.7.EE.B.4B

Translate the following into a mathematical expression:

The difference of twenty and a number is less than half of the number.

• $20\ -\ n\ -\ \frac{1}{2}n$

• $n\ -\ 20\ -\ \frac{1}{2}n$

• $\left(n\ -\ 20\right)\ <\ \frac{1}{2}n$

• $\left(20\ -\ n\right)\ <\ \frac{n}{2}$

Tags

CCSS.7.EE.B.4B

Translate the following into a mathematical expression:

If you decrease the sum of a number and seventeen by eight, it will be at least nine.

• $8\ -\ \left(n\ +\ 17\right)\ \ge\ 9$

• $8\ -\ \left(n\ +\ 17\right)\ \le\ 9$

• $\left(n\ +17\right)\ -\ 8\ \ge9$

• $\left(n\ +17\right)\ -\ 8\ \le\ 9$

Tags

CCSS.7.EE.B.4B

Translate the following into a mathematical expression:
Thirty more than the product of negative six and a number is no more than one hundred.

•  $-6n\ +\ 30\ \le\ 100$  

•  $30\ +\ \frac{-6}{n}\ \le100$  

•  $30\ >\ -6n\ \ \le\ 100$  

•  $30\ _{\ }-6n\ \ge\ 100$  

Tags

CCSS.7.EE.B.4B

Translate the following into a mathematical expression:

If you double the quotient of a number and three it will be equal to forty-two.

• $\left(\frac{n}{3}\right)^2\ =\ 42$

• $2\left(\frac{n}{3}\right)\ =\ 42$

• $2\ \left(3n\right)\ =\ 42$

• $\frac{2}{3n}\ =\ 42$