Vocabulary
Define: variable.
A variable is a symbol that represents an unknown quantity. Ex.) n + 2
What are the next three terms in the sequence 4,8,12,16,...?
20, 24, 28
What is the value of the expression f2 + 8 if f = 7?
57
f2 + 8 = (7x7) + 8 = 49 + 8 = 57
A website charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the total cost in dollars to download h games. Then find the cost of downloading 6 games.
$18.43
12.49 + 0.99h= 12.49 + 0.99(6)= 12.49+ 5.94= $18.43
What is the LCD of 1/4 and 2/3?
12
Define: algebraic expression
An algebraic expression, such as n + 2, is an expression that contains variables, numbers, and at least one operation.
What are the next three terms in the sequence 2.0, 3.5, 5.0,6.5,...?
8.0, 9.5, 11.0
What is the value of 6x - 3y if x=5 and y= -1?
33.
6(5) - 3(-1)= 30 - (-3)= 30 + 3= 33
The expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost to bowl 3 games?
$17
5(3) +2= 15 + 2= $17
7/8 - 3/8= ?
1/2.
4/8 = 1/2
Define: term.
A term is each number in a sequence. Ex.) 2,4,6,8,10.
What are the next three terms in the sequence 15, 26, 37, 48,...?
59, 70, 81
What is the value of -4(9 +6)?
-60
-4(15)= -60
Hannah has a doll collection. The table shows the total number of dolls in her collection for three years. Suppose the pattern continues. Write an alegebraic expression to find the number of dolls in her collection after z years. How many dolls will Hannah have after 25 years?
Year Number of Dolls
1 6
2 12
3 18
6z; 150 dolls
(6 dolls per year)(25 years)= 6 x 25= 150
4/5 + 5/6 = ?
1 19/30
Define: arithmetic sequence.
An arithmetic sequence is a pattern where each term is found by adding the same number to the previous term. Ex.) 1,3,5,7,9... The number 2 is added to each previous term.
What are the next three terms in the sequence 90, 84, 78, 72,...?
66, 60, 54
What is the value of 12d - 7c if d=2 and c=3?
3.
12(2) - 7(3)= 24 - 21= 3
Refer to the table. If the pattern continues, what algebraic expression can be used to find a plant's height for any month? What will the plant's height be at 12 months?
Month Height (in.)
1 3
2 6
3 9
3n; 36 in.
(3 inches per month)(12 months per year)= 3 x 12= 36
1 1/2 x 3/4=
1 1/8
Define: coefficient.
A coefficient is the numerical factor of a multiplication expression that contains a variable. Ex.) 6 of the coefficient 6d.
Identify the next three terms in the arithmetic sequence 4.2, 4.8, 5.4, 6.0,...
6.6, 7.2, 7.8
Evaluate the expression 10b/a if b=6 and a=2.
30.
10(6)= 60
60/2= 30
The expression w/30 where w is a person's weight in pounds is used to find the approximate number of quarts of blood in a person's body. How many quarts of blood does a 120-pound person have?
4 quarts.
120/30 = 4
A recipe calls for 2 1/4 teaspoons of baking soda. If the recipe tripled, how much baking soda is needed?
6 3/4tsp.