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Understanding Algebraic Expressions
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Understanding Algebraic Expressions
Read each question carefully. Show your thinking where useful.
Interpreting Algebraic Terms
1.What operation is represented by 6m?
- 6 + m
- 6 multiplied by m
- 6 divided by m
- m minus 6
2.For the term 11p, state its coefficient and its variable.
3.Select every expression that represents multiplication.
- 5r
- 9 + t
- 2k
- w − 4
- 7q
Representing Multiplication
4.Show 3a as repeated addition. Use a labelled sketch or write an equivalent sum.
5.A container holds n marbles. What does 7n describe?
6.Write 4b as a repeated addition expression.
Match Each Term to Its Meaning
7.Match each algebraic term with its description.
- 8c
- 2d
- 10f
- 5g
- 5 groups of g
- 2 multiplied by d
- 10 groups of f
- 8 multiplied by c
Expressions in Context
8.Let c be the price in dollars of one bus ride. What does 5c represent?
- The cost of five bus rides
- The cost of one ride plus $5
- One-fifth of the cost of a ride
- The cost of a ride less $5
9.A packet contains t stickers. Write an expression for the number of stickers in 9 packets, then explain what the expression means.
10.Write three different terms that show multiplication, and briefly describe what each means. Use a different variable in each term.
Think Further
11.Write “q multiplied by 12” as an algebraic term.
12.Explain what the coefficient and variable are in the term 9h.
13.Decide whether each statement is true or false: In 14r, the coefficient is 14; 3x means 3 + x; a variable can stand for a number; 6w is equivalent to w + w + w + w + w + w.
TrueFalse
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