Parts of Algebraic Expressions
How many terms are in the following expression:
2x-3y+5-3x-8
5 terms
Simplify. 3(q+1)
3q+3
Simplify the expression.
4x + 9 - 7
4x+2
2(2x+1)
Simplify.
11 - 18 +7(x+7)
7x + 42
7(x + 6)
Write an expression to represent
9 subtracted from the product of 2 and c
2c - 9
Factor 10w - 50
10(w-5)
What terms are a "like term" along with 6m in the following expression:
5p+6m-5+5p-15m+2
-15m
Simplify.
-4(q+7)
-4q-28
Simplify the expression. 4v -12 - 7v
-3v-12
-3(v+4)
Simplify.
-16x - 2(6 - 2x)
-16x - 12 + 12x
-4x - 12
-3(x + 4)
Doug scored x points in his basketball game. His teammate Trevor scored three less than twice as many as Doug. In factored form, how many points did they score altogether?
2x - 3 + x
3x - 3
3(x-1)
Factor 6r + 21
3(2r + 7)
What is the constant in the following expression:
2y-5+7x
-5
Simplify.
(3x+10s)4
(3x+10s)4
Simplify the expression. 18s - 5s + 17 - 3s +3
10s + 20
10(s + 2)
Simplify.
2(10p+15) - 6(p+1)
2(10p+15) - 6(p+1)
20p + 30 - 6p - 6
14p + 24
2(7p + 12)
Farrah ate M&M's for a snack. Her brother Johnny asked for some. He ate 13 less than Farrah ate. Her sister Megan came in, she ate twice as much as Johnny. Write an expression for the total number of M&M's eaten by the three children.
Farrah + Johnny + Megan
x + x - 13 + 2(x - 13)
x + x - 13 + 2x - 26
(4x - 39) m&ms
Factor -8g - 20
-4(2g + 5)
What are the coefficients in the following expression:
7+4p-5+p+2q
4, 1 and 2
Simplify.
-3(10 - 4x)
-30 + 12x
Simplify the expression.
- 8 + 4b - 6 - 11a - 13a + b - 1 - a
-11a - 13a - a + 4b + b - 8 - 6 - 1
-25a + 5b - 15
5(-5a + b - 3)
Simplify.
-8(g+1)+ 2(5g-2)
-8(g+1)+ 2(5g-2)
-8g - 8 + 10g - 4
2g - 12
2(g-6)
Bran has a bunch of gold stars on his notebook. Sara has twice as many as Bran, and Rachel has twice as many as Sara. Write an expression for the total amount of gold stars between the three students.
x + 2x + 4x
7x gold stars
Factor 16x - 40y + 24z
8(2x - 5y + 3z)
What are the like terms in the expression:
6xy - 5xz + 2yz - 3yx + 5z - xy
6xy, -3yx, -xy
Simplify.
-6(-3x-5)
18x+30
Simplify the expression.
3/5x-8/7-1/4x+2/5x
-1/4x-8/7
Simplify.3/4(x+12) + 1/2 (-x - 10)
3/4x + 9 - 1/2x - 5
1/4x + 4
Emmy has won 8 more Jolly Ranchers than Ricky. Nicky has won twice as many as Emmy. In factored form, write an expression to represent the total amount of Jolly Ranchers won by all the students.
x + x + 8 + 2(x + 8)
2x + 8 + 2x + 16
4x + 24
Simplify the expression 6(2 - 3x) - 5(3 - 2x) - 13
and then factor your answer.
12 - 18x - 15 + 10x - 13
-18x + 10x + 12 - 15 - 13
-8x - 16
-8(x - 2)