Simplify & Classify
Simplify the polynomial:
6x + 24 + 11x + 2
17x + 26
(5x + 3) + (2x + 5)
-5t =45
t = -9
Expand:
(-3x)(-6x2)
18x3
Write an equation for the phrase below:
"The sum of double a number and 6 is 16"
2x + 6 = 16
Simplify the polynomial:
-9p2 - 8 + 5p + p2
-8p2 + 5p - 8
(-2k + 6) - (3k - 14)
-5k + 20
5(x - 2) - 3 = 42
11
Expand and simplify:
2m[m-3(m+2)]
-4m2 - 12m
Jerry earns $150 more per week than her roommate Kramer and $100 less than his other roommate George. Together the three friends earn $2050 per week. How much does each person earn per week?
Kramer: $550 per week
Jerry: $700 per week
George: $800 per week
Classify the polynomial based on the number of terms and degree:
7w2 + 8w - 6
Quadratic (2nd degree)
Trinomial
(x2 - 14) -3(12x -9)
x2 - 36x +13
[(3x + 5)/4] + 1 = 12
14
Greg is 42. He is 3 years older than Sue. How old is Sue?
Sue is 39 years old
(12a3b2c - 30a2bc - 36a2c2)/6a2c
2ab2 - 5b - 6c
Simplify the polynomial. Then classify it based on the number of terms and degree:
7x - 13 + x - 9x3 + 13
-9x3 + 8x
Cubic (3rd degree)
Binomia
(4a2 - 5a + 3) -(-a2 - 3a + 12)
5a2 -2a - 9
6(x - 2) + 4(x - 3) + 3(x - 4) = 120
12
Find the root for the equation:
2(d + 6) = 9(d - 1)
d = 3
A square and rectangle have the same perimeter. The side length of the square is 2x – 2. The length of the rectangle is x+3 and its width is x – 1.
Find the lengths of each side.
Square length = 4
Rectangle length = 6 Rectangle width = 2
Simplify the polynomial and classify based on the number of terms and degree:
-x2 - 8 - 4x + 6x + 8 + x2
Linear (1st degree)
Monomial
-12 - 19y2 - (y2 + 18y -5)
-20y2 - 18y - 7
6/x = 4/x + 3/2
4/3
The total of three sisters' ages is 39. Dina is half as old as Michelle and 3 years younger than Juliette. How old are each sister?
Dina: 9 years old
Michelle: 18 years old
Juliette: 12 years old
The sum of three consecutive integers is 90. Find the integers.
29, 30, 31