Translating Algebraic phrases!

Translating 1

100

The quotient of a number and thirty-one is 67

n/31=67

200

The quotient of 13 and a number equals 64

13/n=64

300

Twice a number, decreased by 29, is 7

2n-29=7

400

5 less than 3 times a number is 46

3n-5=46

500

The sum of a number and one is 35

n+1=35

Translating 2

100

The product of twenty-five and a number equals 99

25n=99

200

81 less than a number is 49

n-81=49

300

Twice a number increased by 8 is 32

2n+8=32

400

The sum of 10 and the product of 5 and a number is 55

5n+10=55

500

6 times a number increased by 52 is 300

6n+52=300

Translating 3

100

The difference between a number and twenty seven is thirteen.

n-37=13

200

A number increased by 93 is 46

n+93=46

300

The quotient of 50 and 5 more than a number is 10

50/5+n=10

400

Subtract 13 from a number, the result is -5

n - 13 = -5

500

26 more than twice a number is 12

2n+26=12

Solving Equations

100

n+23=76

n = 53

200

28n=154

n = 5.5

300

4n - 16 = 12

n = 7

400

x/3 + 19  = -2

n = -63

500

3(5x - 2) = 24

x = 2

Word Problems

100

Guadalupe bought snacks for her team's practice. She bought a bag of chips for $1.93 and a 15-pack of juice bottles. The total cost before tax was $32.83. Write the equation which can be used to determine x, how much each bottle of juice cost.

1.93 + 15x = 32.83

200

A group of friends wants to go to the amusement park. They have $247.50 to spend on parking and admission. Parking is $12, and tickets cost $39.25 per person, including tax. Write the equation which can be used to determine p, the number of people who can go to the amusement park.

39.25p + 12 = 247.50

300

Under her cell phone plan, London pays a flat cost of $44 per month and $4 per gigabyte. She wants to keep her bill at $54.40 per month. Write the equation which can be used to determine g, the number of gigabytes of data London can use while staying within her budget.

44 + 4g = 54.40

400

Autumn buys eggs and apples at the store.

• She pays a total of $34.14.
• She pays a total of $5.76 for the eggs.
• She buys 6 bags of apples that each cost the same amount.

Write the equation which can be used to determine x, how much each bag of apples costs.

5.76 + 6x = 34.14

500

Members of a softball team raised $1353 to go to a tournament. They rented a bus for $943.50 and budgeted $31.50 per player for meals. Write the equation which can be used to determine x, the number of players the team can bring to the tournament.

943.50 + 31.50x = 1353