A sports tournament has 13 teams. Each team has b players. Using , write an expression for the total number of players in the tournament.
The expression for the total number of players in the tournament can be written as 13b.
Henry baked b cookies. His family ate 12 of them. Using b , write an expression for the number of cookies that remained.
The expression for the number of cookies that remained can be written as b - 12.
Translate the phrase into an algebraic expression.
Twice b
The algebraic expression for "Twice b" would be 2b.
x more than 5
The algebraic expression for "x more than 5" would be x + 5.
evaluate the epression when a = 5 and y = - 4
a - 8y
To evaluate the expression a - 8y when a = 5 and y = -4, substitute the given values into the expression:
a - 8y = 5 - 8(-4)
Next, simplify the expression:
= 5 + 32
= 37
Therefore, when a = 5 and y = -4, the expression a - 8y evaluates to 37.
evaluate when expression b = -5 and c = 7
6c - b
To evaluate the expression 6c - b when b = -5 and c = 7, substitute the given values into the expression:
6c - b = 6(7) - (-5)
Next, simplify the expression:
= 42 + 5
= 47
Therefore, when b = -5 and c = 7, the expression 6c - b evaluates to 47.
Fill in the table using this function rule.
y = 3x + 3
x y
2
7
8
9
To fill in the table using the function rule y = 3x + 3, we substitute the given values of x into the equation and calculate the corresponding values of y.
For x = 2:
y = 3(2) + 3
y = 6 + 3
y = 9
For x = 7:
y = 3(7) + 3
y = 21 + 3
y = 24
For x = 8:
y = 3(8) + 3
y = 24 + 3
y = 27
For x = 9:
y = 3(9) + 3
y = 27 + 3
y = 30
The completed table is:
x y
2 9
7 24
8 27
9 30
Fill in the table using this function rule.
y=22-4x
y x
1
3
4
5
To fill in the table using the function rule y = 22 - 4x, we substitute the given values of x into the equation and calculate the corresponding values of y.
For x = 1:
y = 22 - 4(1)
y = 22 - 4
y = 18
For x = 3:
y = 22 - 4(3)
y = 22 - 12
y = 10
For x = 4:
y = 22 - 4(4)
y = 22 - 16
y = 6
For x = 5:
y = 22 - 4(5)
y = 22 - 20
y = 2
The completed table is:
y x
18 1
10 3
6 4
2 5
Fill in the table using this function rule.
y = 3x - 4
x y
4
5
6
10
To fill in the table using the function rule y = 3x - 4, we substitute the given values of x into the equation and calculate the corresponding values of y.
For x = 4:
y = 3(4) - 4
y = 12 - 4
y = 8
For x = 5:
y = 3(5) - 4
y = 15 - 4
y = 11
For x = 6:
y = 3(6) - 4
y = 18 - 4
y = 14
For x = 10:
y = 3(10) - 4
y = 30 - 4
y = 26
The completed table is:
x y
4 8
5 11
6 14
10 26