Math 7 - Statements to Algebraic Equations

Writing Algebraic Equations from Statements

Math 7

Writing Algebraic Equations from Statements

​Example:

The word "minus" means subtraction.
The words "quotient" means division.

Multiple Choice

Which word refers to addition?

• divide
• multiply
• sum
• subtract

Multiple Choice

Which word refers to multiplication?

• addition
• division
• product
• sum

Multiple Choice

Which word can refer to division?

• minus

• plus

• times

• quotient

Multiple Choice

Which word or words means to subtract?

• add
• plus
• multiply
• minus

Multiple Choice

Which word or phrase can mean "addition"?

• subtract
• minus
• plus

• difference

Multiple Choice

Which word or phrase would give the impression that we need to DIVIDE the numbers?

• divide by

• subtract from

• less than

• multiply by

Multiple Choice

Which word or phrase can mean "subtraction"?

• minus
• addition
• increase
• sum

Multiple Choice

Which word or phrase can mean "to multiply"?

• reduce
• multiply by

• decrease
• subtract

Multiple Choice

What math operation does this word/s refer to?
"added to"

• addition
• multiplication

• subtraction

• division

Translating statements into Algebraic Equations

​Example:

Statement: A number x plus 10 is -4.
Equation:

Multiple Choice

Convert to an algebraic equation:

A number x plus 10 is -4.

• x + 10 = 4
• x + 10 = -4
• x - 10 = -4
• x - 10 = 4

Translating statements into Algebraic Equations

​Example:

Statement: -9 times a number y is 54.
Equation:

Multiple Choice

Convert to an algebraic equation:

-9 times a number y is 54.

• $$9\cdot y=54$$

• $$-9\cdot y=-54$$

• $$-9\cdot y=54$$

• $$-9y+54=0$$

Translating statements into Algebraic Equations

​Example:

Statement: Thrice a number z is 27.
Equation:

Multiple Choice

Convert to an algebraic equation:

Thrice a number z is 27.

• $$z-27=3$$

• $$3\cdot z=27$$

• $$3\cdot z=9$$

• $$z+27=3$$

Translating statements into Algebraic Equations

​Example:

Statement: The difference between a number b and 12 is 12.
Equation:

Multiple Choice

Convert to an algebraic equation:

The difference between a number b and 12 is 12.

• b - 12 = -12
• b - 12 = 12
• b + 12 = 12
• b + 12 = -12

Translating statements into Algebraic Equations

​Example:

Statement: The quotient of 15 and a number c is 9.
Equation:

Multiple Choice

Convert to an algebraic equation:
The quotient of 15 and a number c is 9.

• $$15-c=9$$

• $$15\div c=6$$

• $$15\cdot c=9$$

• $$15\div c=9$$

Translating statements into Algebraic Equations

​Example:

Statement: The sum of 42 and a number d is -2.
Equation:

Multiple Choice

Convert to an algebraic equation:

The sum of 42 and a number d is -2.

• 42 * d = -2
• 42 + d = -2
• 42 - d = -2
• 42 + d = 2

Translating statements into Algebraic Equations

​Example:

Statement: 52 minus a number e is equal to 100.
Equation:

Multiple Choice

Convert to an algebraic equation:

52 minus a number e is equal to 100.

• e - 52 = 100
• 52 - e = 100
• 52 - e = 50
• 52 + e = 100

Translating statements into Algebraic Equations

​Example:

Statement: 120 divided by a number h is 10.
Equation:

Multiple Choice

Convert to an algebraic equation:

120 divided by a number h is 10.

• 120 - h = 10
• $$120\cdot h=10$$

• $$\frac{120}{h}=10$$

• 120 + h = 10

Multiple Choice

True or False.

Convert "The sum of 6 and a number b is 24" to an algebraic equation.

Answer: $$6+b=24$$

• True

• False

Multiple Choice

True or False.

Convert "A number x minus 2 is -10" to an algebraic equation.

Answer: $$x-2=10$$

• True

• False

Multiple Choice

True or False.

Convert "The quotient of 9 and a number b is 3." to an algebraic equation.

Answer: $$9\div b=3$$

• True

• False