Foiling
(x+2)(x+3)
What is x2 + 5x + 6?
(5ab+c) divided by c
What is 5ab+1?
-x + 1 - 2x + 5
What is -3x + 6?
(3x + 4) + (2x + 1)
What is 5x + 5?
For a party, one classroom ordered 4 large pizzas, 2 medium pizzas, and 6 subs. Another classroom ordered 6 large pizzas and 8 subs. If x represents the cost of a large pizza, m represents the cost of a medium pizza, and z represents the cost of a sub, write an expression in simplest form for the total amount of money that the two classrooms spent on food.
What is 10x + 2m + 14z?
(y+4)(y-2)
What is y2 + 2y - 8?
(25st - 35s) divided by 5s
What is 5t - 7?
x2 + 4 +3x + x2
What is 2x2 + 3x + 4?
(5x + 4) - (3x + 2)
What is 2x + 2?
A car accelerates for n seconds. The expression 2n + n2 represents the distance the car travels in meters. Another car has twice the acceleration and travels (2t + 2t2) meters in n seconds. After 10 seconds, how much farther does the second travel?
100 m
(2x-5)(x-4)
What is 2x2 - 13x + 20?
(16x + 24xy) divided by 8x
What is 2 + 3y?
6 - 2x2 + 3x2
What is x2 + 6?
(-2x2 - x + 1) + (-x2 - 3x)
What is -3x2 - 4x +1?
Explain how to multiply -2n and 3 - 5n.
Solve and explain how to write the answer.
First multiply -2n by 3 and then multiply -2n by -5n.
Write as a polynomial -6n + 10n2.
(3x+2)(2x-3)
What is 6x2 - 5x - 6?
(4x3 + 2x2 - 6x) divided by (2x)
What is 2x2 + x - 3?
1.5t2 - 7.6 + 4t - 2t2 + t - 5.1
What is -0.5t2 + 5t - 12.7?
(7x - 5) - (2x - 1)
What is 5x - 4?
Does the product of two binomials always have three terms?
If so, explain why.
If not, give a counterexample.
(4b-3)(2b+4)
What is 8b2 + 10b - 12?
(10x2y2 + 5xy) divided by (5xy)
What is 2xy + 1?
4a2 + 2b - b2 - 6b + 3a2 - 5a
What is 7a2 - b2 - 5a - 4b
(2x2 + 6x - 4) - (x2 + 2x - 4)
What is x2 + 4x?
Explain why 2y2 + 3 cannot be divided by 2y without using fractions.
It cannot be divided because 2y is a factor of 2y2 but not a factor of 3.