NAME ________________________________________________
DATE ______________________
PERIOD _______
REVIEW Unit 3 Quiz quadratic expressions and equations
Add or subtract the polynomials. Write your answer in standard form.
1.
(6x + 3) + (2x - 7)
2.
(9m - 1) + (2m² - 4)
8x - 4
4.
3.
2m² + 9m - 5
(a + b) - (5a + 2b)
5.
4p² - 4p - 10
(x³ - 3x + 1) - (x³ + 7 -12x)
-4a - b
6.
-2g³ + 4g² - 6g
-13y² + 2y + 8
11.
14.
4r(2r² - 3r + 5) + 6r(4r² + 2r + 8)
32r³ + 68r
3(2h - 6) - (2h + 1) = 9
x=2
15.
3(x² - 2x) = 3x² + 5x - 11
h=7
17.
(2r - 6)(r + 1)
x² + 5x + 6
18.
2r² - 4r - 6
21.
(2p - 3)²
m² + 10m + 25
24.
12.
12n³ + 5n² - 19n
Solve.
13. 2(x + 5) - 3 = 11.
(m + 5)²
x(6x - 5) - 7x
6x² - 12x
4n(3n² + n - 4) - n(3 - n)
-2x³ - 2x²
20.
9.
4xy² - 10x³y
-x(2x² - 4x) - 6x²
Find the product.
16. (x + 2)(x + 3)
(-8y² + 5y - 1) - (5y² + 3y - 9)
9x - 6
Find each product or simplify each expression.
7. -2g(g² - 2g + 3)
8. 2xy(2y - 5x²)
10.
(-4p² - 7p) + (8p² + 3p - 10)
22.
25.
x² + 12xy + 36y²
(8y - 5)(4y - 3).
19.
(2n - 4)(2n + 5)
32y² - 44y + 15
4p² - 12p + 9
(x + 6y)(x + 6y)
x=1
(m - n)(m + n)
4n² + 2n - 20
23.
(x - 6y)(x + 6y)
m² - n²
(x + 2)(x² - 2x + 1)
26.
x² - 36y²
(2x - 1)(x² - x + 2)
x³ - 3x + 2
2x³ - 3x² + 5x - 2
Write an expression to represent the area of each shape.
27.
28.
x² + 2x - 3
4x² - 2x - 2
x+5
x³ + 7x² + 7x - 15