Coefficients
Identify the coefficient of x in the expression:
7x+3
7
Simplify:
3(2x+5)
6x+15
Simplify:
4x+7x
11x
Identify the like terms in the problem:
3x+5+7x+2
3x and 7x, 5 and 2
Write an algebraic expression for:
“5 more than a number, x.”
x + 5
What is the coefficient of y in
−9y+5x−2
-9
Simplify:
−4(y−6)
-4y+24
Simplify:
6y−3y+9
3y+9
Are these like terms or unlike terms?
4a, 4a2
Unlike terms
Write an algebraic expression for:
“7 less than twice a number, y.”
2y - 7
Find the coefficient of a in:
3/4a−6b+2
3/4
Simplify:
2(3a−4b+5)
6a−8b+10
Simplify:
5a+3b−2a+7b
3a+10b
Group the like terms and simplify:
8y+3x−2y+5x
(8y−2y)+(3x+5x)= 6y+8x
Write an algebraic expression for:
“The quotient of a number n and 3, increased by 8.”
n/3 + 8
Simplify the expression and state the coefficient of x:
5(2x−3)+4x
14
Simplify:
−3(2x−5)+4(x+7)
−2x+43
Simplify:
2(3x+4)−5x+6
x+14
Identify and combine all like terms:
6m+4n−3m+7−2n+5
(6m−3m)+(4n−2n)+(7+5)= 3m+2n+12
Write an algebraic expression for:
“Four times the sum of a number a and 6.”
4(a + 6)
After simplifying, what is the coefficient of m in the expression:
−2(3m−4n+5)+7(m+2n)
1
Simplify completely:
5(2m−3n+4)−3(4m+n−2)
−2m−18n+26
Simplify completely:
4(2m−3n+1)−3(5m−2n−4)
−7m−6n+16
Simplify completely by combining like terms:
4a+3b−2a+8+5b−3+6a
(4a−2a+6a)+(3b+5b)+(8−3)= 8a+8b+5
Write an algebraic expression for:
“Three more than the product of 5 and the difference of a number, m, and 2.”
5(m−2)+3