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Algebra Concepts Review
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Algebra Concepts Review
Review variables, constants and coefficients, simplify and expand expressions, and substitute values into expressions and formulas. Show your working where needed.
Algebra building blocks
Identify parts of expressions and combine or expand terms.
1.For the expression 6m − 2n + 9, list the variables, the constant term, and the coefficients of the variable terms.
2.Which expression is a like term to 7p?
- 7q
- −3p
- p²
- −3
3.Simplify 8r + 3s − 5r + 6s.
4.Expand 4(3a − 2).
5.Match each algebra term to its description.
- Variable
- Constant
- Coefficient
- Like terms
- A number multiplying a variable
- A letter representing a value that can change
- Terms with the same variable part
- A number without a variable
Substitution and everyday algebra
Replace variables with given values and use formulas in practical situations.
6.If a = 5 and b = −3, evaluate 3a + 2b.
7.A rectangle has length 9 cm and width 4 cm. Use P = 2l + 2w to find its perimeter.
8.A bicycle hire shop charges a fixed fee of $8 to unlock a bike and an additional $3 for each hour of hire. Let h represent the number of hours. Write an expression for the total cost, in dollars.
9.Using the bicycle hire fees stated in the previous question, calculate the cost for 6 hours.
Check your reasoning
Use what you know about like terms and multiplication to explain your thinking.
10.Kai says 4x + 2x = 6x². Explain the error and write the correct simplification.
11.True or false: 5k − 2k simplifies to 3k. Give a short reason.
TrueFalse
2 printable pages
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