Writing and Solving Equations

Writing Equations

100

A number plus Twenty Five equals Twenty Seven.

N + 25 = 27

200

The difference of ninety eight and fifty five is a number.

98 - 55 = N

300

Fifty five is the product of a number and 11.

55 = n (11)

400

Six less than Twelve divided by a number is one.

12/n - 6 = 1

500

The Quotient of Thirty Three and a number increased by 3 is the same as 11.

33/n + 3 = 11

Write as a sentence

100

4x = 24

Four times a number is Twenty four The product of four and a number equals Twenty four

200

8 = n/2

Eight equals a number divided by 2. Eight is quotient of a number and 2.

300

45 + p = 53

The sum of fourty five and p equals fifty three. Fourty five plus p equals fifty three. Fourty five increased by p is fifty three.

400

88 = 44(n)

Eighty eight is the product of fourty four and a number. Eighty eight equals fourty four multiplied by a number.

500

12 (n) - 5 =32

Twelve multiplied by N minus five equals 32. Five less than twelve times N is 32.

Key Idea

100

Inverse operations _________ or ________ each other.

Undo or cancel.

200

If you multiply each side of an equation by the same nonzero number, the two sides remain ________.

Equal.

300

You can check if your answer is correct, by ______ your result.

Pluging in or substituting

400

Division is opposite or inverse to ____________.

Multiplication

500

When solving an equation, you need to __________ the variable in one side of the equation.

Isolate or leave alone

Solve

100

N (25) =50

N = 2

200

(44 + n)/5 = 18

n = 46

300

Quotient of Fifty five and five is _________.

11.

400

24 divided by a number is six.

4

500

12 (n) + 8 = 140

n = 11

Word problems

100

Three friends went to lunch and the bill was $25. Write an equation to represent the cost.

3f = 25

200

A car runs at a speed of 70 miles per hour. Write an equation to represent the distance the car runs in five hours.

70 (5) = D

300

Six friends share a box of pencils. Each person receives two pencils. Write and solve an equation to find the number of pencils in the box.

x/6 = 2 There are 12 pencils.

400

A subway train travels at a rate of 50 miles per hour. Write and solve an equation to find the number of hours it takes the train to travel 100 miles.

100 = 50h It will take 2 hours

500

Four identical robots lie on the ground head-to-toe and measure 14 feet. Write and solve an equation to tell how tall is each robot.

4 r =14 Each robot is 3.5 feet.