__________________________________________________________ Algebra 1 – Solving Equations - Math is Hip™

Prerequisite Skills Needed:

- Basic Addition & Subtraction Skills

Translating Words into Expressions & Equations

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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 •

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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 ÷

_____________________________________________________________ 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

_____________________________________________________________ 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)

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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

_____________________________________________________________ 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