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Introduction to Algebraic Expressions
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Introduction to Algebraic Expressions
Read each question carefully. For questions with choices, select the best answer unless the question says to select all that apply.
Reading Algebraic Expressions
1.In the expression 6p + 11, which number is the coefficient of p?
- p
- 6
- 11
- 6p
2.In the expression 9m − 5, identify the constant term.
- 9
- m
- −5
- 9m
3.Select all the variables in this list.
- r
- 14
- b
- 0
- k
4.For the expression 4c + 7d − 12, name the variables, their coefficients, and the constant.
Writing and Interpreting Expressions
5.Hudson buys x bags of apples for $5 per bag. Write an expression for the total cost in dollars.
6.A netball side scores 38 points in one quarter and y points in the next. Write an expression for the total points across those two quarters.
7.Luca has 31 trading cards and gives away n cards. Write an expression for the number of cards Luca has left.
8.A rectangle is 9 cm long and w cm wide. Write a simplified expression for its perimeter.
9.Explain how 4x + 3 differs from 4(x + 3). You may expand the brackets to help show the difference.
10.Which situation is represented by 5n + 12, where n is a number of items?
- Five items cost $12 altogether, with no other charge.
- Each item costs $5, and there is also a fixed $12 fee.
- A $5 fee is added to twelve times the number of items.
- Twelve items cost $5 each, plus $n.
11.Write an algebraic expression with coefficient 7, variable t, and constant −3.
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