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Variables and Algebraic Expressions
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Variables and Algebraic Expressions
Read each question carefully. Choose an answer where options are given; otherwise, write a simplified expression.
Variables and Expression Parts
Identify what letters and numbers represent in algebra.
1.What does a variable usually represent in an algebraic expression?
- A number that is always zero
- A letter standing for a number that may be unknown or change
- The final answer to every equation
- A symbol that means multiply
2.For the expression 8p − 6, state the coefficient, the variable, and the constant.
3.Which choices are algebraic expressions? Select all that apply.
- 9 + 2
- 4m + 1
- r = 7
- 6 − 3q
Write Expressions from Situations
Use the defined variable in each situation. Do not evaluate the expression.
4.Eli has g game cards and gives 9 cards away. Write an expression for the number of cards he has left.
5.A museum charges $14 for each admission ticket. Let a be the number of tickets bought. Write an expression for the total cost in dollars.
6.Andre swims 2 laps before school and then swims k more laps after school. Write an expression for the total number of laps.
7.A sandwich costs $7, with an additional $1.50 for each extra filling. Let f be the number of extra fillings. Write an expression for the total price in dollars.
8.Jamal has h trading cards. Her cousin has three times as many cards as Jamal, plus 5 more. Write an expression for her cousin's number of cards.
Match a Situation to an Expression
Choose the situation represented by the given expression.
9.Which situation can be represented by 4x − 10, where x is a number of items?
- Four groups of x items, with 10 items taken away
- Ten groups of x items, with 4 items added
- Four more than ten times x
- Ten items divided equally among four groups of x
10.A community center welcomes d visitors on each of its first four open days. On the fifth day, it welcomes 18 fewer visitors than d. Write an expression for the total visitors over all five days.
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