Translating Equations Lesson

Translate word problems to math equations.

Key Words and Phrases

Think of multiplication as repeated addition. Are they earning the same amount each time?

ex. Cereal costs $2.50 per box (2.5b)

A phone company charges $0.20 for each text message (.2m)

Trisha earns $5 allowance per week (5w)

Key Words and Phrases

Division usually comes up when people are sharing equally.

Ex. 3 friends start a business and share their profits equally:

 $\frac{p}{3}$  

Poll

What operation is indicated here: Brandon is bringing bottled water to a picnic. He is bringing 4 full cases of water.

• addition, x + 4

• multiplication, 4x

Poll

Brandon is bringing 4 full cases of water and a bag with 8 more bottles. What operation is indicated by "8 more bottles"?

• multiplication, 8x

• addition, +8

Multiple Choice

Write an equation to find the number of bottles per case: Brandon has 4 full cases of water and a bag with 8 more bottles. He has a total of 104 bottles. How many are in each case?

• 4b + 8 = 104

• 8b + 4 = 104

Poll

What would you do first to solve the equation 4b + 8 = 104

• Subtract 4 from both sides

• Subtract 8 from both sides

• Combine the 4 and the 8 to get 12b = 104

Multiple Choice

Solve the equation 4b + 8 =104 to find the number of bottles per case.

• 24 bottles

• 28 bottles

• $$3\ \frac{1}{4}$$ bottles

Multiple Choice

Translate: the quotient of a number and 3

• $$3x$$

• $$\frac{x}{3}$$

Multiple Choice

Translate: nine more than a number

• 9x

• x + 9

Multiple Choice

Translate: Nine more than two times a number.

• 2n + 9

• 2 ( n + 9)

• (9+2)n

Multiple Choice

Translate: Nine more than two times a number.

• 2n + 9

• 2 ( n + 9)

• (9+2)n

Multiple Choice

Translate: Nine more than two times a number.

• 2n + 9

• 2 ( n + 9)

• (9+2)n

Multiple Choice

Write an expression for: Max earns $10 allowance each week.

• 10 + w

• 10w

• $$\frac{w}{10}$$

Open Ended

Write some keywords for subtraction.

Open Ended

Write some keywords for addition.

Multiple Choice

What would I do on both sides to solve:

$$-4x=-36$$  

• Add 4 on both sides. Addition is the inverse operation of subtraction.

• Divide on both sides by 4. Division is the inverse operation of multiplication and -4x is -4 times x.

• Divide on both sides by -4. Division is the inverse operation of multiplication and -4x is -4 times x.

Multiple Choice

What would I do on both sides to solve:

$$\frac{a}{-2}=14$$  

• Add 2 on both sides. 2 and negative 2 are opposites.

• Multiply on both sides by -2. Fractions are division, and the opposite of division is multiplication.

Open Ended

What could the value of y be? Type as many as you can think of.

$$2\ge y$$  

Multiple Choice

Which value satisfies the inequality:

$$-5>j$$  

• -4

• -6

Poll

Right now I would rather eat: