Parts of Algebraic Expressions
How many terms are in the following expression?
2x - 3y + 5 - 3x - 8
5 terms
Simplify the expression:
11x + 9 - 7
11x+2
Simplify.
3(5+1)
18
Simplify.
k + 20 + 3k - 3
4k+17
Translate: "five times the sum of a number and ten"
5(x+10)
What terms is a "like term" along with 6m in the following expression?
0.5p + 6m - 5 + 1.5p - 12.5m + 2
-12.5m
Simplify the expression.
4.2v - 5 + 6.5v
10.7v-5
Simplify.
4(x+7)
4x+28
Simplify.
7x + 2 + 3y + 6 - 4x - y
3x+2y+8
Translate: "one-third the difference of twice a number and sixteen"
1/3 (2x-16)
What is the constant in the following expression?
2y + 5 + 7x
5
Simplify the expression.
11s - 8s + 6
3s+6
Simplify.
4(3x+12)
12x+48
Simplify.
5(x+6) + 4x
9x+30
A square's side can be represented by the expression 2x+3. Write and simplify an expression that represents the perimeter of the square.
4(2x+3)
8x+12
What are the coefficients in the following expression?
7 + 4p - 5 + p + 2q
4, 1 and 2
Simplify the expression.
8 + 4a + 6.2 + 9a
13a+14.2
Simplify.
3(4x-10)
12x-30
Simplify.
3(5+2n) + 9n - 4
15n+11
Ms. Jackson takes 24 students to the ice rink. Each student pays an entry fee plus $4 to rent skates. Write and simplify an expression that shows the total cost.
24(x+4)
24x+96
How many terms are in the expression?
1.4y + 5 - 4.2 - 5y + z - 10
6 terms
Simplify the expression.
2.2y + 7.1 - 4.5 - y + 2.9y
4.1y+2.6
Simplify.
6(3x-2y+6)
18x-12y+36
Simplify.
2(x+6) + 3(x+5) + x
6x+27
A town averages s inches of snow during winter. This December, the town had 3 inches less snow than average. If they continue to have the same amount snow each month as they did in December...
1. Write an expression to represent the amount of snow they will have for the whole winter.
2. Simplify the expression.
3. Evaluate if the average snowfall is 8 inches.
Note: Winter is 3 months long.
1. 3(s-3)
2. 3s-9
3. 15 inches