1. Write each phrase as a mathematical expression. Mathematical

Expression

Phrase

1

nine increased by a number

fourteen decreased by a number

seven less than a number

the product of nine and a number

thirty-two divided by a number

five more than twice a number

the product of a number and six

seven divided by twice a number

three times a number decreased by eleven

withdrawing $10 every week from an outstanding

balance of $400

Answer and explanation:

x here represents the unknown number or value

9+x here nine is increased by x the unknown number

14-x fourteen is decreased by x the unknown number or value

x-7 the unknown number is decreased by seven

9*x nine is multiplied by an unknown number

32/x thirty two is divided by an unknown number

2x+5 double an unknown number increased by 5

x*6 unknown number multiplied by 6

7/2x seven divided by double an unknown number

3x-11 thrice an unknown number reduced by 11

400-10x weekly withdrawals of 10 from 400

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)