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

Twelve divided by a number is one.

12/n = 1

500

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

33/n = 11

Solve

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

45p + 61p = 53

p = 0.5

400

88 = 44(n-13)

n = 15

500

12.5 (n-44) + 3n =32

n=37.5

Percents

100

What percent is 35 of 80?

43.75%

200

What is 45% of 400?

180

300

Jessie bought some clothes that are originally $30 on sale for 16% off. What is the final cost?

$25.20

400

Walgreens buys their band aids from a company for $3 each. They markup their bandaids by 25%. What is the sale price of the bandaids?

$3.75

500

Mya borrowed $3,000 from the bank at a 5% simple interest rate for 5 years. What is the total cost of her loan?

$3,750

Proportions

100

Molly's favorite juice is made by mixing 3 cups apple juice and 5 cups cranberry. How many cups of apple juice is needed for 40 cups of cranberry? Write an equation to solve

3/5 = x/40                  x = 24 cups

C*0.6=A

200

What is the unit rate of $50 for 3 pounds of apple sauce

$16.67 per pound

300

You bought a new shirt that was originally $62. but it was on sale for 25% off. What was the price you paid for the shirt?

$46.50

400

What is the total cost of a $9.50 family dinner after you add a 20% tip

$47.40

500

Your dad is looking to buy a new bike that was $80. Now it cost $96. What is the percent change?

20% increase

Word problems

100

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

25/3 = C

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 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 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 x =14 3.5 feet.