Proportions, Literal Equations, Words to Expressions

Proportions, Literal Equations, Words to Expressions

By Shalynne Orth

Solving Algebraic Proportions

Solving Simple Proportions

• Cross multiply

• Divide

Multiple Choice

Solve:

• 1

• 4

• 10

• 5

Multiple Choice

Solve:

• 4

• 32

• 2

• 9

Use what you KNOW!

• Cross multiply

• Simplify

• Isolate the variable (add or subtract)

• Simplify

• Divide

• Simplify

Multiple Choice

Solve:

• 3

• 4

• -7

• 15

Multiple Choice

Solve:

• -9

• -28

• 9

• 4

Literal Equations

I can solve literal equations using inverse operations.

What is a literal equation?

Secret: You solve them the same way as other equations.

​Solve literal equations EXACTLY like normal equations.

​

Observe how we solve the equations below for x:​

Multiple Choice

Solve for A

$$\frac{a}{b}=h$$  

• $$a=bh$$  

• $$a=\frac{b}{h}$$  

• $$a=\frac{h}{b}$$  

Multiple Choice

Solve for C

$$\frac{ca}{k}+e=s$$  

• $$c=aesk$$  

• $$c=\frac{kes}{a}$$  

• $$c=\frac{k\left(s-e\right)}{a}$$  

• $$c=\frac{\left(s-e\right)}{ak}$$  

Multiple Choice

Solve for x:

• x = yb - v
• x = by - v
• x = by + v

Multiple Choice

Which expression represents the value of x in the equation:
dx + e = f

• x = (f + e)/d
• x = (f - e)/d
• x = d/(e - f)
• x = d/(e + f)

Words to Expressions

Translate the words into a Math sentence.

Multiple Select

Check ALL of the choices that mean TO ADD.

• more

• plus

• increased by

• minus

Multiple Select

Check ALL of the choices that mean TO SUBTRACT.

• more

• less

• decreased by

• minus

Multiple Select

Check ALL of the choices that mean TO MULTIPLY by TWO.

• times two

• double

• triple

• half of

Multiple Select

Check the choice that means TO DIVIDE by TWO.

• times two

• double

• one third of

• half of

Multiple Choice

What is the answer to an addition problem called?

• difference
• number
• sum
• equal

Multiple Choice

What is the answer to a multiplication problem called?

• Difference
• Sum
• Quotient
• Product

Multiple Choice

Taking the difference of two numbers means that we should ________?

• Combine
• Add
• Subtract
• Compare

Multiple Choice

A "quotient" is the answer to what type of math problem?

• Addition
• Division
• Exponential
• Inequality

Multiple Choice

"Six more than 8" means_______:

• 8-6
• 8<6
• 6+8
• 6-8

Multiple Choice

Do "5-3" and "3-5" mean the same thing?

• Never
• Sometimes
• Always
• Under certain circumstances

Multiple Choice

The word "is" indicates what?
(example:  Six minus 4 is two)

• Plus
• Equals
• Divided by
• Minus

Multiple Choice

8w is another name for

• 8 times w

• w multiplied by 8

• the product of 8 and a number

• all of the above

Multiple Choice

Write the phrase as an expression. "a number x divided by 2"

• 2÷x

• 2x

• x÷2

• x

Multiple Choice

r less than 5

• r - 5
• 5 - r
• r + 5
• 5 + r

Multiple Choice

46 less than a number

• 46 - n

• n - 46

• 46 + n

• n + 46

Multiple Choice

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m
• 8m - 4
• 8m + 4
• 4m - 8

Multiple Choice

Three times the sum of 2 and e. 

• 3e+2
• 3(e-2)
• 3(e+2)
• 2e+3

Multiple Choice

Translate to an algebraic expression.

14 less than the quantity k times 6

• 6k - 14

• 14 + 6k

• 14k - 6

• 14 - 6k

Multiple Choice

Translate to an algebraic expression.

twice the sum of 70 and m

• 2(m + 70)

• 2⋅70 + m

• 2(70 - m)

• 70 + m ⋅ 2

Multiple Choice

Translate to an algebraic expression.

m plus the product of 6 and n

• m + 6n

• m - 6n

• m(6n)

• 6mn