WARM-UPThe product of a number and five is increased by four and decreased by seven, then

increase by ten for a result of the sum of fifty and seven. Translate (write an expression) and solve it!

5x + 4 – 7 + 10 = 50 + 7

X = 10

5x + 4 – 7 + 10 = 57

Let’s Practice Translating

English to “Mathish”

Do you know how many turtles I have? The product of three and that number is increased by seven and decreased by six for a result

of sixteen. How many turtles do I have?

3x + 7 – 6 = 16

X = 5

Seven is increased by the product of 9 and a number, then decreased by four, for a result thirty.

7 + 9x – 4 = 30

X = 3

The sum of eight and four is decreased by six and increased by a magic number. The result is ninety-six. What is the magic number?

8 + 4 – 6 + x = 96

X = 90

A magic number is increased by the difference of nine and six. The result is the sum of eight and five.

X + 9 – 6 = 8 + 5

X + 9 – 6 = 13

X = 10

I purchased four presents for Mr. Segerson because he is my favorite teacher of all time. The first present costs $7. The second one costs $4.00. The fourth

one costs $5. I spent a total of $22. How much did the third present cost?

$7 + $4 + x + $5 = $22X = $6

I purchased three presents for Mr. Segerson because he is my favorite teacher of all time. The first present costs $3.50. The second one costs

$9.00. I spent a total of $15. How much did the third present cost?

$3.5 + $9 + x = $15X = $2.50

I fell in a cactus and have a bunch of thorns in me. How many thorns? Well, the number of thorns is increased by five, decreased by two, increased by 21 and increased by 8 for a result of forty. How many thorns do I have?

x + 5 – 2 + 21 + 8 = 40

X = 8

My mom said she would give me $4 for every “A” I earned throughout my entire 6th grade year. At the end of the year, she had to give me $88. Write and expression using “a” for the number of A’s I earned. How many A’s did I earn?

4a = $88a = 22

So I earned 22 A’s

My dad said he would give me $8 for every goal I scored in soccer. He also wouId give $50 if I got on the All-Star team…which I did! At the end of the year, she had to give me $178. Write

and expression using “g” for the number of goals I scored. How many goals did I score?

8g + 50 = $178g = 16

So I scored 16 goals

A little girl down the street hit me a bunch of times. How many times did she hit me? Well the product of that number and 12 is increased by four and

decreased by twenty for a result of twenty. How many times did she hit me?

12x + 4 – 20 = 20

X = 3

I earned five dollars for each hour I worked washing Mr. Segerson’s laundry. Use “H” for the hours. Write an expression and then solve

it – if I earned $35.00.

5H = $35

H = 7So I worked seven

hours.

I earned 9 dollars for each hour I worked in Mr. Segerson’s yard mowing and trimming. I also got an extra $10 for picking up his dog’s poop. Use “H” for

the hours. Write an expression and then solve it – if I earned $64.00.

9H + 10 = $64H = 6

So I worked 6 hours.

I worked in Mr. Segerson’s garage for five hours. He paid me by the hour. I also got an extra $30 because I got bit by a rat and he felt sorry for me. Use “D” for

dollars. Write an expression and then solve it – if I earned $64.00.

5D + 30 = $64D = $8.00

So I earn $8 per hour.