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__________________________________________________________ Algebra 1 – Solving Equations - Math is HipPrerequisite Skills Needed: - Basic Addition & Subtraction Skills Translating Words into Expressions & Equations

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Page 1: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

__________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Prerequisite Skills Needed:

- Basic Addition & Subtraction Skills

Translating Words into Expressions & Equations

Page 2: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

We’ve discussed the difference between Expressions & Equations: Expression Equation

7 + 3 7 + 3 = 10

the sum of seven and three

The sum of seven and three is ten.

Translating Words into Expressions & Equations

Page 3: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

We’ve discussed the difference between Expressions & Equations: Expression Equation

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

the sum of seven and three

the sum of five and x

The sum of seven and three is ten.

The sum of five and x is twelve.

Translating Words into Expressions & Equations

Page 4: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

We’ve discussed the difference between Expressions & Equations: Expression Equation

the sum of seven and three

the sum of five and x

The sum of seven and three is ten.

The sum of five and a number is twelve.

In this lesson, we’ll focus on translating English words into mathematical symbols

& how to create expressions and equations from words.

Translating Words into Expressions & Equations

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

Page 5: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

We’ve discussed the difference between Expressions & Equations: Expression Equation

7 + 3 7 + 3 = 10 5 + x 5 + x = 12

the sum of seven and three

the sum of five and x

The sum of seven and three is ten.

The sum of five and x is twelve.

In this lesson, we’ll focus on translating English words into mathematical symbols

& how to create expressions and equations from words.

Translating Words into Expressions & Equations

Page 6: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three

Translating Words into Expressions & Equations

Word Symbol sum

Page 7: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three

Translating Words into Expressions & Equations

Word Symbol sum +

+ 7 3

Page 8: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three

Translating Words into Expressions & Equations

Word Symbol sum +

+ 7 3 7 + 3

Page 9: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three the sum of five and an

unknown quantity

Translating Words into Expressions & Equations

Word Symbol sum +

Unknown quantity

+ 7 3 7 + 3

Page 10: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three the sum of five and an

unknown quantity

Translating Words into Expressions & Equations

Word Symbol sum +

Unknown quantity x, n, or

another letter

+ 7 3 7 + 3

+ 5

x

Page 11: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

To translate, look for words that represent mathematical symbols:

the sum of seven and three the sum of five and an

unknown quantity

Translating Words into Expressions & Equations

Word Symbol sum +

Unknown quantity x, n, or

another letter

+ 7 3 7 + 3

+ 5

x 5 + x

Page 12: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is

Page 13: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is =

+ 7 3 = 10

Page 14: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is =

+ 7 3 = 10

7 + 3 = 10

Page 15: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten. The sum of five and an unknown

quantity equals twelve.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is = equals

+ 7 3 = 10

7 + 3 = 10

Page 16: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten. The sum of five and an unknown

quantity equals twelve.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is = equals =

+ 7 3 = 10

7 + 3 = 10 + 5 x

= 12

Page 17: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

The sum of seven and three is ten. The sum of five and an unknown

quantity equals twelve.

Translating Words into Expressions & Equations To translate, look for words that represent mathematical symbols:

Word Symbol sum +

Unknown quantity x, n, or

another letter

is = equals =

+ 7 3 = 10

7 + 3 = 10 + 5 x

= 12 5 + x = 12

Page 18: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

twice a number

Translating Words into Expressions & Equations Word Symbol twice • 2 (times 2)

a number x, n, or another letter

Page 19: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

twice a number

Translating Words into Expressions & Equations Word Symbol twice • 2 (times 2)

a number x, n, or another letter

• 2 n

Page 20: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

twice a number

Translating Words into Expressions & Equations Word Symbol twice • 2 (times 2)

a number x, n, or another letter

• 2 n 2 • n = 2n

Page 21: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷

• n 2 • n = 2n

Page 22: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷

• n 2 • n = 2n

÷ 3 10

Page 23: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310

Page 24: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310

Page 25: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310+ 5 y 9 •

Page 26: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310+ 5 y 9 •

9 + 5 • y = 9 + 5y

Page 27: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity four more than the quotient of

eight and a number

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter more than +

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310+ 5 y 9 •

9 + 5 • y = 9 + 5y

Page 28: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity four more than the quotient of

eight and a number

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter more than +

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310+ 5 y 9 •

9 + 5 • y = 9 + 5y +

8 x 4 ÷

Page 29: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Translating Words into Expressions & Equations 2

Algebra 1 – Solving Equations - Math is Hip™

twice a number the quotient of three and ten nine plus five times an unknown quantity four more than the quotient of

eight and a number

Word Symbol twice • 2 (times 2)

a number x, n, or another letter

quotient ÷ plus +

times • (multiply)

unknown quantity x, n, or

another letter more than +

• n 2 • n = 2n

÷ 3 10

3 ÷ 10 =

310+ 5 y 9 •

9 + 5 • y = 9 + 5y +

8 x 4 ÷

8 ÷ n + 4 =

+8 4n

Page 30: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

Page 31: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

- 6 n

Page 32: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

- 6 n

n - 6

Page 33: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

- 6 n

n - 6

Page 34: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

- 6 n

n - 6 - 6 n

Page 35: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

- 6 n

n - 6 - 6 n

6 - n

Page 36: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

- 6 n

n - 6 - 6 n

6 - n

Page 37: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

- 6 n

n - 6 - 6 n

6 - n + 6 n

Page 38: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

- 6 n

n - 6 - 6 n

6 - n + 6 n

n + 6

Page 39: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number six increased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

increased by - (order is the same)

- 6 n

n - 6 - 6 n

6 - n + 6 n

n + 6

Page 40: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number six increased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

increased by - (order is the same)

- 6 n

n - 6 - 6 n

6 - n + 6 n

n + 6 + 6 n

Page 41: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number six increased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

increased by - (order is the same)

- 6 n

n - 6 - 6 n

6 - n + 6 n

n + 6 + 6 n

6 + n

Page 42: Algebra 1 – Solving Equations - Math is Hip Translating ......_____Translating Words into Expressions & Equations . 2 . Algebra 1 – Solving Equations - Math is Hip™ twice a number

_____________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

six less than a number six decreased by a number six more than a number six increased by a number

Translating Words into Expressions & Equations Watch for MORE THAN and LESS THAN – these can be tricky!

Word Symbol less than - (number

goes at end)

decreased by - (order is the same)

more than + (number goes at end)

increased by - (order is the same)

- 6 n

n - 6 - 6 n

6 - n + 6 n

n + 6 + 6 n

6 + n