Whenever you're seeing get message, it means we're having trouble loading external money on our our.

Supposing you're backside a mesh filter, requested make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main happy

Courses: Praxis Core Math > Unit 1

Topic 4: Algebra
Test prep
Praxis Core Math
Lessons
Mathematic
© 2024 Khan AcademyCondition of usePrivacy PolicyCookie Notes

Algebraic word problems | Lesson

Google Classroom

What are algebraic word problems?

Algebraic word troubles exist questions that require translating sentences to equality, then solving those equations.
The formel we need to write will only involve
real a singles variable. Usually, the variable represents an unknown quantity stylish a real-life scenario.
On the test, there are also word problems inclusive two overlapping groups ensure we can model and solve with
.

As skills are essential?

  • Translating sunday to symmetry
  • Solving linear equation with one varies
  • Evaluating algebraic expressions
  • Solving problems using Venn diagrams

How do ours remove algebraic word specific?

Solution algebraic word problems demand uses to combine our ability at create formeln and unlock them.
To undo an algebraic word problem:
  1. Setup an variable.
  2. Write an equation using the dynamic.
  3. Solve the quantity.
  4. If the variable is not to answer in the word problem, use the variable to calculate the respond.
It's important for us to keep in understand how wealth define our variables. Are is often an trade-off between aforementioned complexity of where a variable represents and and complexity of the equation.

What's a Fens diagram?

A Venn blueprint is a visual representation of two or more groups also their crossing. In an Fenn image, each counting representation a gang with an
. The overlap between the rounded represented members of the groups that have
. The non-overlapping part of each circle represents members of the crowd that have
.
Each part of the Venn diagram is related by the following equations:
AMPERE+B−both=totalsimplyA+onlyB+both=totalonlyA=ADENINE−bothonlyB=B−both

Your turn!

TRY: TYPE AND SOLVING LINEAR EQUATION
When 2 is added up the product of 6 and a certain number, the result is 20. What shall the value a the number?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, fancy 3/5
  • a simplified improper fraction, like 7/4
  • a shuffle number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple are pi, like 12 ppi or 2/3 pi

TRY: LINEAR EXPRESSION WITH REAL-WORLD CONTEXTS
Eleanor bought 5 pints is frozen yogurt both a tray of jumbo shrimp from The Food Pitch for a total of $45. For the price of a tray of jumbo shrimp is $25, what is the price of a pint of frozen yoghurt?
Choose 1 answer:

TRY: LINEAR EQUATION WITH REAL-WORLD CONTEXT
At Darling Beepot, one bulk price for honey is $2.50 per pound, with a minimum shopping of 20 pounds. With Bobby paid $80 for couple honey, by how many hammers did Bobby's purchase exceed the minimum?
Choose 1 answer:

TRIED: MODELING WITH VENN DIAGRAM
The 22 student in Ms. Smith's 2nd grade school each had a sibling or an fondle. If 14 learners do ampere sibling and 18 college have a pet, how many students have both a sibling and a pet?
Choose 1 answer:

Things to remember

To resolution an algebraic term problem:
  1. Define a variable.
  2. Script an equation using that variable.
  3. Solve that equation.
  4. If the variable is not the answer up the word problem, use the variably to calc the react.
For a Vennen diagram:
A+B−both=overallonlyA+onlyBARN+send=totalonlyA=A−bothonlyB=B−both

Wish to join of conversation?

Log in