Algebraic Expressions
Evaluate the expression when x = 20 and y = 4.
5 + y
5 + y
5 + 4 = 9
Write the phrase as an expression.
18 added to a number n
n + 18
Simplify the expression. Explain each step.
10 + (2 + y)
10 + (2 + y)
(10 + 2) + y associative property
12 + y simplify
Simplify the expression.
t + 2 + 6t
t + 2 + 6t
t + 6t + 2
7t + 2
In a video game, you score p game points and b triple bonus points. An expression for your score is p + 3b. What is your score when you earn 245 game points and 20 triple bonus points?
p + 3b
245 + 3(20)
305 points
Evaluate the expression when x = 20 and y = 4.
6x
6x
6(20) = 120
Write the phrase as an expression.
a number t decreased by 17
t - 17
Simplify the expression. Explain each step.
(3)(y)(7)
(3)(y)(7)
(3)(7)(y) commutative property
21y simplify
Simplify the expression.
s + 3s + 4s
s + 3s + 4s
8s
Your basketball team scored 4 fewer than twice as many points as the other team.
Write an expression for the number of points your team scored using p for the amount of points the other team scored.
2p - 4
Evaluate the expression when x = 20 and y = 4.
x - 9
20 - 9 = 11
Write the phrase as an expression.
the product of a number d and 32
32d
Simplify the expression. Explain each step.
1(3.2w)
1(3.2w)
3.2w identity property
Simplify the expression.
3z + 4 + 5z - 2
3z + 4 + 5z - 2
3z + 5z + 4 - 2
8z + 2
Each day you do homework for m minutes and watch TV for 30 minutes. Which expression can you use to find how many minutes you do both activities in 5 days?
A) m(30 + 5)
B) 5(m + 30)
C) 30(5 + m)
5(m + 30)
Evaluate the expression when x = 20 and y = 4.
x - 4y
4
Write the phrase as an expression.
twice a number x
2x
Simplify the expression. Explain each step.
5.3 + (w + 1.2)
5.3 + (w + 1.2)
5.3 + (1.2 + w) commutative property
(5.3 + 1.2) + w associative property
6.5 + w simpliy
Simplify the expression.
4t + 7 - 2t -2
4t + 7 - 2t - 2
4t - 2t + 7 - 2
2t + 5
Playing time is added at the end of a soccer game to make up for stoppages. An expression for the length of a 90-minute soccer game with x minutes of stoppage time is 90+ x. How long is a game with 4 minutes of stoppage time?
90 + x ; x = 4
90 + 4 = 94
94 minutes
Evaluate the expression when x = 20 and y = 4.
8y - x
8(4) - 20
32 - 20 = 12
Write the phrase as an expression.
11 fewer than a number b
b - 11
Identify the property being used.
3 + (11 + p) = (11 + p) + 3
A) Associative Property
B) Commutative Property
C) Distributive Property
B) Commutative Property
Simplify the expression.
5(n +3) + 4n
5(n +3) + 4n
5n + 15 + 4n
5n + 4n + 15
9n + 15
The expression (15)(x)(6) represents the volume of a rectangular prism with a length of 15, a width of x and a height of 6. Simplify the expression.
(15)(x)(6)
(15)(6)(x)
90x