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Praxis Core Math
Unit 1: Lesson 4
Algebra- Algebraic properties | Lesson
- Algebraic properties | Worked example
- Solution procedures | Lesson
- Solution procedures | Worked example
- Equivalent expressions | Lesson
- Equivalent expressions | Worked example
- Creating expressions and equations | Lesson
- Creating expressions and equations | Worked example
- Algebraic word problems | Lesson
- Algebraic word problems | Worked example
- Linear equations | Lesson
- Linear equations | Worked example
- Quadratic equations | Lesson
- Quadratic equations | Worked example
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Creating expressions and equations | Lesson
What are expressions and equations?
On the test, we will be asked to create and based on verbal descriptions. These expressions and equations will involve the , but will not use more advanced operations such as exponents.
Some questions will ask for expressions or equations based on their verbal description or a real-world context. To create these expressions and equations, we need to familiarize ourselves with the relationship between key words, real-life scenarios, and mathematical operations.
What skills are tested?
- Translating sentences to mathematical expressions
- Translating sentences to equations
How do we translate sentences to expressions and equations?
In addition to the words , , , , and , we are often presented with other phrases that describe these same mathematical operations. Some of the most common ones are listed in the table below.
| English | Math |
|---|---|
| The sum of a and b | a, plus, b |
| b is added to... | plus, b |
| The difference between a and b, b is subtracted from a | a, minus, b |
| The product of a and b | a, times, b |
| b times, b of... | b, times |
| The quotient of a and b | a, divided by, b or start fraction, a, divided by, b, end fraction |
| (The result) is | equals |
| A certain number, an unknown quantity | x, y, etc. |
To translate verbal descriptions of mathematical operations:
- Identify any key words or phrases that indicate an operation.
- Combine the individual operations into an expression or equation. Make sure to preserve the order of operations.
How do we translate real-world contexts to expressions and equations?
In questions with real-world contexts, the mathematical operations are often described by action verbs and comparative phrases. Some more ways we convey mathematical information are listed in the table below.
| English | Math |
|---|---|
| b more than a | a, plus, b |
| Increased by b | plus, b |
| b less than a | a, minus, b |
| Decreased by b, reduced by b | minus, b |
| b times (as many) | b, times |
| Double, twice | 2, times |
| Triple | 3, times |
To translate verbal descriptions of mathematical operations:
- Identify any key words or phrases that indicate an operation.
- Combine the individual operations into an expression or equation. Make sure to preserve the order of operations.
Practice
Things to remember
To translate verbal descriptions of mathematical operations:
- Identify any key words or phrases that indicate an operation.
- Combine the individual operations into an expression or equation. Make sure to preserve the order of operations.
| English | Math |
|---|---|
| The sum of a and b | a, plus, b |
| b more than a | a, plus, b |
| Increased by b, b is added to... | plus, b |
| The difference between a and b, b is subtracted from a, b less than a | a, minus, b |
| Decreased by b, reduced by b | minus, b |
| The product of a and b | a, times, b |
| b times (as many), b of... | b, times |
| Double, twice | 2, times |
| Triple | 3, times |
| The quotient of a and b | a, divided by, b or start fraction, a, divided by, b, end fraction |
| (The result) is | equals |
| A certain number, an unknown quantity | x, y, etc. |
Want to join the conversation?
What Grade is This For?(8 votes)
I think this is grade 9 algebra, Thats what im learning now.(1 vote)
the math is not mathing(4 votes)
i dont understand this i need more help(4 votes)- whatch the video(0 votes)
How do you know which number comes fist?(3 votes)
i can setup a chart but i can not combine them correctly(1 vote)- the question is easy if you understand the question what they are telling what to do(0 votes)