Download SOL Warm-Up

1
Warm-Up
Graphing Calculator Active
Factoring polynomials
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
Which of the following represents 12x2 + 6x + 3 in simplified form
after factoring out the greatest common factor?
12(x2 + 2x + 4)
x(12x2 + 6x + 3)
3(4x2 + 2x + 1)
2(6x2 + 3x + 1)
Which of the following represents 4x3 + 8x2 + 12x in factored form after factoring out
the greatest common factor?
4(x3 + 2x2 + 3x)
2x(2x2 + 4x + 6)
4(x3 + 8x2 + 12x)
4x(x2 + 2x + 3)
Which of the following represents 9a2b4 + 18a3b2 in factored form after factoring out
the greatest common factor?
9a2b2(b2 + 2a)
3ab(3ab2 + 6a2b)
9a3b4(1 + 2ab)
6a2b2(3b2 + 3a)
4.
Which of the following represents 2x2 - 2x in factored form after factoring out the
greatest common factor?
A
B
C
D
2(x2 - x)
x(2x - 2)
2x(x - 1)
2x2(1 - x)
2
Warm-Up
Graphing Calculator Active
Factoring polynomials
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
4.
A
B
C
D
Which of the following expresses x2 + 7x - 30 in simplified factored form?
(x - 3)(x + 10)
(x + 3)(x - 10)
(x - 6)(x + 5)
(x + 6)(x - 5)
Which of the following expresses x2 + x - 12 in simplified factored form?
(x - 3)(x + 4)
(x + 3)(x - 4)
(x + 1)(x + 12)
(x + 6)(x + 2)
Which of the following expresses 2x2 + 9x + 10 in simplified factored form?
(2x -2)(x + 5)
(2x - 5)(x - 2)
(2x + 1)(x + 10)
(2x + 5)(x + 2)
Which of the following expresses 2x2 - 50 in simplified factored form?
2(x - 1)(x + 5)
2(x - 5)(x + 5)
(2x + 5)(x + 10)
(2x - 5)(x - 10)
3
4
Warm-Up
Graphing Calculator Active
Factoring polynomials
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
Which of the following expresses x2 + 7x + 12 in simplified factored form?
(x + 3)(x + 4)
(x - 3)(x - 4)
(x + 6)(x + 2)
(x + 5)(x + 2)
Which of the following expresses 4x2 + 7x + 3 in simplified factored form?
(2x + 1)(2x + 3)
(4x + 3)(x + 1)
(4x + 1)(x + 3)
(x + 7)(x + 4)
Which of the following expresses x2 - 64 in simplified factored form?
(x - 8)(x + 8)
(x + 4)(x - 16)
(x - 4)(x + 16)
(x + 64)(x - 1)
5
Warm-Up
Graphing Calculator Active
Factoring polynomials
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
The area of a rectangle is calculated by multiplying the length by the width. If the
area of a rectangle is x2 + 11x + 10, which of the following could be the length of the
rectangle?
x+5
x+1
x + 11
x–5
The area of a rectangle is calculated by multiplying the length by the width. If the
area of a rectangle is 3x2 - 23x – 36, which of the following could be the length of the
rectangle?
3x + 4
3x + 12
x+9
3x – 23
The area of a rectangle is calculated by multiplying the length by the width. If the
area of a rectangle is 2x2 + 7x + 6, which of the following could be the length of the
rectangle?
x+6
x+2
x+7
2x + 7
6
7
Warm-Up
Graphing Calculator Active
Factoring polynomials
1.
A
B
C
D
2.
A
B
C
D
The area of a circle is  r2 and the area of a rectangle is LW. Which of the
following could represent the area of the shaded region in the drawing?
2r(r -  )
4r(r -  )
2r2(  - r)
r2(4 -  )
The area of a circle is πr2 and the area of a rectangle is LW. Which of the
following could represent the area of the shaded region in the drawing?
 (r2+ 12)
r2(12 +  )
6r(  + 2)
6r2(3 + 2  )
8
Warm-Up
Graphing Calculator Active
Using x-intercepts to factor a polynomial
1.
A
B
C
D
2.
Which of the following represents the factored form of a polynomial
with (-2, 0) and (-3, 0) as its x-intercepts?
(x + 2)(x + 3)
(x - 2)(x - 3)
(x + 2)(x - 3)
(x - 2)(x + 3)
Which of the following represents the factored form of a polynomial
3
with ( , 0) and (-1, 0) as its x-intercepts?
2
3
2
3
B (-x + )(x + 1)
2
A (x - )(x - 1)
C (2x - 3)(x + 1)
D (2x - 3)(x - 1)
3.
A
B
C
D
Which of the following represents the factored form of a polynomial
with (0, 0) and (-6, 0) as its x-intercepts?
x(x + 6)
(x - 6)(x + 6)
(x + 6)(x + 6)
x(x - 6)
9
Warm-Up
Graphing Calculator Active
Solving quadratic equations
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
4.
A
B
C
D
What are the solutions of x2 + 5x + 6 = 0?
x = -2 or x = -3
x = 2 or x = 3
x = -6 or x = 1
x = -1 or x = 6
What are the solutions of x2 - 15 = 2x?
x = 0 or x = -2
x = -5 or x = 3
x = 0 or x = 2
x = -3 or x = 5
What are the solutions of x2 = 7x?
x = 0 or x = -7
x = 4 or x = 3
x = 0 or x = 7
x = 7 only
What are the solutions of 2x2 = x + 3?
x = -3 or x = 2
x = 3/2 or x = -1
x = 3 or x = -2
x = 3 or x = -1
10
11
Warm-Up
Graphing Calculator Active
Solving quadratic equations
1.
A
B
C
D
2.
A
B
C
D
3.
A
B
C
D
What are the solutions of x2 + 11x + 30 = 0?
x = 2 or x = 15
x = -5 or x = -6
x = -15 or x = -2
x = 6 or x = 5
What are the solutions of x2 - 30 = 6?
x = 0 or x = -6
x = 6 or x = -6
x = 0 or x = 6
x = -6 only
What are the solutions of x2 + x - 20 = 0?
x = 5 or x = -4
x = -5 or x = -4
x = 5 or x = 4
x = -5 or x = 4
12
Warm-Up
Graphing Calculator Active
Solving quadratic equations
1.
A
B
C
D
2.
A
B
C
D
What are the dimensions of a rectangle if the length is 7 less than
twice the width and the area is 30?
5 by 6
15 by 2
4 by 7.5
3 by 10
What are the dimensions of a rectangle if the length is 2 more than
the width and the area is 48?
12 by 4
3 by 16
6 by 8
5.5 by 7.5
13
Warm-Up
Graphing Calculator Active
Solving quadratic equations
1.
A
B
C
D
2.
A
B
C
D
What are the dimensions of a rectangle if the length is 7 less than
twice the width and the area is 72?
12 by 6
18 by 4
10 by 7.2
9 by 8
What are the dimensions of a rectangle if the length is 5 less than
three times the width and the area is 78?
6 by 13
3 by 26
10 by 7.8
2 by 39
14
Warm-Up
Graphing Calculator Active
Identifying x-intercepts of a quadratic function
What are the x-intercepts of the graph of 2x2 - 5x - 3?
1.
3
2
A ( , 0) (-1, 0)
1
9
3
2
1
(  , 0) (3,0)
2
1
( , 0) (-9, 0)
6
B (  , 0) ( , 0)
C
D
What are the x-intercepts of the graph of 4x2 - 4x + 1?
2.
1
2
A (-1, 0) ( , 0)
B (-1, 0) (1, 0)
C (1, 0)
1
D ( , 0)
2
3.
What are the x-intercepts of the graph of 9x2 - 1?
1
9
1
9
A (  , 0) (  , 0)
B (1, 0) (-1, 0)
1
C ( , 0)
3
1
1
D ( , 0) (- , 0)
3
3