Download What are the solutions for the equation x 2

Warm Up # 3
Quarterly
Assessment 3
Work on your Make up QA.
If you are finish work on HW.
QA Review # 1
1. What is the square root of 0.36?
2. What is the square root of 0.49?
3. What is the square root of 0.64?
4. What is the square root of 0.81?
5. What is the square root of 0.0121?
6. What is the square root of 0.0144?
Bell Work
1. What is the square root of 0.36?
2. What is the square root of 0.16?
3. What is the square root of 0.0169?
4. What is the square root of 0.0196?
5. What is the square root of 0.09?
6. What is the square root of 0.0225?
Bell Work
1. What is the square root of 0.36?
2. What is the square root of 0.49?
3. What is the square root of 0.0256?
4. What is the square root of 0.0289?
5. What is the square root of 0.0361?
6. What is the square root of 0.04?
Bell Work
1. What is the square root of 0.64?
2. What is the square root of 0.0169?
3. What is the square root of 0.0225?
4. What is the square root of 0.0441?
5. What is the square root of 0.0121?
6. What is the square root of 0.81?
Bell Work
1. What is the square root of 0.01?
2. What is the square root of 0.0144?
3. What is the square root of 0.0289?
4. What is the square root of 0.0361?
5. What is the square root of 0.0484?
6. What is the square root of 0.0625?
QA Review # 2
1.
Which expression is equivalent to (2x2y4z6)2?
2.
Which expression is equivalent to (2x3y4z6)5?
3.
Which expression is equivalent to (2x2y4z6)3?
4x4y8z12
32x15y20z30
8x6y12z18
4.
Which expression is equivalent to (2x2y4z6)4?
5.
Which expression is equivalent to (2x2y4z7)3?
6.
Which expression is equivalent to (2x2y4z2)6?
16x8y16z24
8x6y12z21
64x12y24z12
Bell Work
1.
Which expression is equivalent to (2x2y4z7)2?
2.
Which expression is equivalent to (2x3y3z6)5?
3.
Which expression is equivalent to (2x2y4z6)3?
4x4y8z14
32x15y15z30
8x6y12z18
4.
Which expression is equivalent to (2xy4z6)4?
5.
Which expression is equivalent to (2x2y4z4)3?
6.
Which expression is equivalent to (2x2y4z)6?
16x4y16z24
8x6y12z12
64x12y24z6
Bell Work
1.
2.
Which expression is equivalent to (2x3y4z6)2?
4x6y8z12
Which expression is equivalent to (2x3y4z6)4?
16x12y16z24
3.
4.
5.
6.
Which expression is equivalent to (2x2y4z6)5?
32x10y20z30
Which expression is equivalent to (2x2y4z6)6?
64x12y24z36
Which expression is equivalent to (2x2y4z7)7?
128x14y28z49
Which expression is equivalent to (2x2y3z2)5?
32x10y15z10
Bell Work
1. What is the square root of 0.09?
2. What is the square root of 0.0144?
3. What is the square root of 0.0324?
4. What is the square root of 0.0361?
5. What is the square root of 0.0400?
6. What is the square root of 0.0625?
Bell Work
1.
Which expression is equivalent to (2x2y5z6)2?
2.
Which expression is equivalent to (2x3y3z6)6?
3.
Which expression is equivalent to (2x2y4z6)7?
4x4y10z12
64x18y18z36
128x14y28z42
4.
Which expression is equivalent to (2xy4z6)5?
5.
Which expression is equivalent to (2x2y4z4)5?
6.
Which expression is equivalent to (2x11y5z)6?
32x5y20z30
32x10y20z20
64x66y30z6
Bell Work
1. What is the square root of 0.64?
2. What is the square root of 0.0169?
3. What is the square root of 0.0225?
4. What is the square root of 0.0441?
5. What is the square root of 0.0121?
6. What is the square root of 0.81?
Bell Work
1.
Which expression is equivalent to (2x2y4z6)2?
2.
Which expression is equivalent to (2x3y4z6)5?
3.
Which expression is equivalent to (2x2y4z6)3?
4x4y8z12
32x15y20z30
8x6y12z18
4.
Which expression is equivalent to (2x2y4z6)4?
5.
Which expression is equivalent to (2x2y4z7)3?
6.
Which expression is equivalent to (2x2y4z2)6?
16x8y16z24
8x6y12z21
64x12y24z12
QA Review # 3
1. A rectangle has a length of 3x – 5 units and a
width of x – 4 units. What is the area, in square
units, of the rectangle? 3x2 – 17x + 20
2. A rectangle has a length of 3x – 6 units and a
width of x – 4 units. What is the area, in square
units, of the rectangle? 3x2 – 18x + 24
3. A rectangle has a length of 2x – 5 units and a
width of x – 6 units. What is the area, in square
units, of the rectangle? 2x2 – 17x + 30
Bell Work
1. A rectangle has a length of 11x – 5 units and a
width of x – 4 units. What is the area, in square
units, of the rectangle? 11x2 – 49x + 20
2. A rectangle has a length of 3x – 12 units and a
width of 2x – 4 units. What is the area, in square
units, of the rectangle? 6x2 – 36x + 48
3. A rectangle has a length of 4x – 11 units and a
width of 9x + 6 units. What is the area, in square
units, of the rectangle? 36x2 + -75x + -66
Bell Work
1. A rectangle has a length of 3x – 15 units and a
width of 2x – 4 units. What is the area, in square
units, of the rectangle? 6x2 – 42x + 60
2. A rectangle has a length of 3x – 9 units and a
width of 5x + 4 units. What is the area, in square
units, of the rectangle? 15x2 – 33x + -36
3. A rectangle has a length of 4x + 8 units and a
width of 3x – 6 units. What is the area, in square
units, of the rectangle? 12x2 + -48
QA Review # 4
1. Subtract 9x2 −2x−10 from 5x2 −8x−3.
-4x2 −6x+7
2. Subtract 8x2 −2x−10 from 5x2 −6x−3.
-3x2 −4x+7
2
3. Subtract 3x2 −12x−1 from 5x −9x−13.
2x2 +3x-12
4. (8x3−3x2+10) + (−4x3−7x2−11) =
4x3 −10x2-1
5. (8x3−3x2+10) + (−4x3−7x2−15) =
4x3 −10x2-5
6. (8x3−3x2+10) + (−4x3−7x2−11) =
4x3 −10x2-1
7. Add 9x2 −x−10 from 5x2 −7x−1314x2 −8x2-3
Bell Work
1. Subtract 6x2 −2x−10 from 2x2 −2x−3.
-4x2 +7
2. Subtract 13x2 −2x−10 from 8x2 −6x−3.
-5x2 −4x+7
2
3. Subtract 3x2 −9x−1 from 5x −7x−13.
2x2 +2x-12
4. (8x3−6x2+10) + (−2x3−7x2−11) =
6x3 −13x2-1
5. (8x3−3x2+6) + (−10x3−7x2−11) =
-2x3 −10x2-5
6. (8x3−4x2+9) + (−5x3−7x2−11) =
3x3 −11x2-2
7. Add 7x2 −x−10 from 13x2 −7x−13
2
20x −8x2 – 23
Bell Work
1. Subtract 10x2 −2x−10 from 5x2 −8x−3.
-5x2 +-6x+7
2
2. Subtract 9x2 −2x−10 from 5x −6x−3.
-4x2 −4x+7
2
3. Subtract 5x2 −12x−1 from x −9x−13.
-4x2 +3x-12
4. (8x3−x2+10) + (−11x3−7x2−11) =
-3x3 −8x2-1
5. (8x3−3x2+10) + (−7x3−7x2−11) =
x3 −10x2-1
6. (8x3−5x2+10) + (7x3−7x2−11) =
15x3 −12x2-1
7. Add 9x2 −x−1 from 4x2 −7x−132
13x −8x2 – 14
Bell Work
1. Subtract 6x2 −2x−12 from 2x2 −2x−3.
-4x2 +9
2. Subtract 13x2 −2x−10 from 9x2 −6x−3.
-4x2 −4x+7
2
3. Subtract 3x2 −9x−10 from 5x −7x−13.
2x2 +2x-3
4. (8x3−6x2+12) + (−2x3−7x2−15) =
6x3 −13x2-3
5. (8x3−3x2+6) + (−10x3−7x2−18) =
-2x3 −10x2-12
6. (8x3−4x2+9) + (−4x3−7x2−11) =
4x3 −11x2-2
7. Add 7x2 −x−10 from 11x2 −7x−13
2
18x −8x2 – 23
Bell Work
1. Subtract 6x2 −2x−10 from x2 −2x−3.
-5x2 +7
2. Subtract 13x2 −2x−10 from 7x2 −6x−3.
-6x2 −4x+7
2
3. Subtract x2 −9x−1 from 5x −7x−13.
4x2 +2x-12
4. (8x3−6x2+10) + (−x3−7x2−11) =
7x3 −13x2-1
5. (8x3−3x2+6) + (−16x3−7x2−11) =
-8x3 −10x2-5
6. (8x3−4x2+9) + (−5x3−7x2−19) =
3x3 −11x2-10
7. Add 7x2 −x−10 from 13x2 −7x−13
2
20x −8x2 – 23
QA Review # 5
1. Which of the following is the graph of y = x2 + 4x + 4?
2. Which of the following is the graph of y = x2 + 2x - 8?
3. Which of the following is the graph of y = x2 + 8x + 10?
Bell Work
1. Which of the following is the graph of y = 2x2 + 4x + 4?
2. Which of the following is the graph of y = x2 – 4x + 3?
3. Which of the following is the graph of y = -2x2 + 4x + 2?
Bell Work
1. Which of the following is the graph of y = x2 + 6x - 16?
2. Which of the following is the graph of y = x2 + 4x - 12?
3. Which of the following is the graph of y = x2 + 2x - 8?
Bell Work
1. Which of the following is the graph of y = x2 + 2x -8?
2. Which of the following is the graph of y = x2 + 4x - 12?
3. Which of the following is the graph of y = 2x2 + 4x - 5?
Bell Work
1. Which of the following is the graph of y = 2x2 + 4x + 4?
2. Which of the following is the graph of y = x2 – 4x + 3?
3. Which of the following is the graph of y = -2x2 + 4x + 2?
1. What is
QA Review # 6
in factored form?
2. What is
in factored form?
3. What is
in factored form?
4. What is
in factored form?
5. What is
in factored form?
QA Review # 6B
1. What is
in completely factored form?
2. What is
in completely factored form?
3. What is
in completely factored form?
4. What is
in completely factored form?
5. What is
in completely factored form?
Bell Work
1. What is
in completely factored form?
2. What is
in completely factored form?
3. What is
in completely factored form?
4. What is
in completely factored form?
5. What is
in completely factored form?
Bell Work
1. What is
in completely factored form?
2. What is
in completely factored form?
3. What is
in completely factored form?
4. What is
in completely factored form?
5. What is
in completely factored form?
QA Review # 7
1. What are the solutions for the equation x2
−6x = 16?
2. What are the solutions for the equation x2
−x = 12?
3. What are the solutions for the equation
x2 −2x = 8?
4. What are the solutions for the equation x2
−x = 20?
5. What are the solutions for the equation x2
−7x =30?
Bell Work
1. What are the solutions for the equation x2
−2x = 15?
2. What are the solutions for the equation x2
−4x = 12?
3. What are the solutions for the equation
x2 −3x =10?
4. What are the solutions for the equation x2
−8x = 20?
5. What are the solutions for the equation x2
−x =30?
Bell Work
1. What are the solutions for the equation x2
−4x = 21?
2. What are the solutions for the equation x2
−7x = 18?
3. What are the solutions for the equation
x2 −5x =14?
4. What are the solutions for the equation x2
−5x = 36?
5. What are the solutions for the equation x2
−4x =32?
QA Review # 82
1. What are the solutions to the equation 2x
+ 5x – 3 = 0?
2. What are the solutions to the equation x2
+ 3x – 15 = 0?
3. What are the solutions to the equation 2x2
4. What are the solutions to the equation x2
+ 4x – 10 = 0?
+ 9x – 3 = 0?
5. What are the solutions to the equation 2x2
+ 6x – 1 = 0?
6. What are the solutions to the equation 2x2
+ 2x – 11 = 0?
Bell Work
1. What are the solutions to the equation 4x2
+ 5x – 3 = 0?
2. What are the solutions to the equation 3x2
+ 3x – 5 = 0?
3. What are the solutions to the equation 3x2
+ 4x – 8 = 0?
4. What are the solutions to the equation x2
+ 9x – 5 = 0?
5. What are the solutions to the equation 2x2
+ 6x – 2 = 0?
6. What are the solutions to the equation 2x2
+ 2x – 8 = 0?
1.
Bell
Work
What are the solutions to the equation x2 + 5x – 3 = 0?
2. What are the solutions to the equation x2
+ 3x – 10 = 0?
3. What are the solutions to the equation 2x2
4. What are the solutions to the equation x2
+ 3x – 10 = 0?
+ 8x – 3 = 0?
5. What are the solutions to the equation 2x2
+ 5x – 1 = 0?
6. What are the solutions to the equation 2x2
+ x – 9 = 0?
QA Review # 9
What number should be added to both sides of the
equation to complete the square? Then solve it.
1. x2 + 8x = 2
2. x2 + 10x = 15
2
3. x + 20x = 25
2
4. x + 12x = 10
5. x2 + 22x = 30
Bell Work
What number should be added to both sides of the
equation to complete the square? Then solve it.
1. x2 + 8x = 7
2. x2 + 10x = 22
2
3. x + 20x = 30
2
4. x + 12x = 12
5. x2 + 22x = 40
QA Review # 10
• An equation in the form ax2 + bx + c = 0 is solved
by the quadratic formula. The solution to the
equation is shown below.
• What are the values of a, b, and c in the quadratic
equation?
1)
2)
3  29
x
2
5  73
x
2
QA Review # 11
1. What are the roots of x2 + x – 6 = 0?
2. What are the roots of x2 + 4x – 5 = 0?
3. What are the roots of x2 + 2x – 1 = 0?
4. What are the roots of x2 + 4x – 7 = 0?
QA Review # 12
1. Find the following graph’s root?
QA Review # 13
1. What is the solution set for the equation x2 + 8x = –5?
2. What is the solution set for the equation x2 + 7x = –5?
3. What is the solution set for the equation x2 + 5x = –5?
4. What is the solution set for the equation x2 + 4x = –5?
5. What is the solution set for the equation x2 + 3x = –5?
QA Review # 14
1. How many times does the graph of the
quadratic function f(x) = 3x2 + 2x + 8 intersect
the x-axis?
2. What is 2x3−10x2 – 12x in factored form?
2x( x+1)(x – 6)
3. What is 2x3−24x2 – 70x in factored form?
2x( x – 7)(x – 5)
4. What is 2x3+16x2 + 30x in factored form?
2x( x + 5)(x + 3)
5. What is 2x3−4x2 – 48x in factored form?
2x( x – 6)(x + 4)
QA Review # 15
1. Caleb kicked a ball. The function h(t) = −8t2+40t
describes the height of the ball, in feet, t seconds
after he kicked it. How many seconds did the ball
take to first reach 48 feet?
2. A ball is thrown in the air. The relationship
between the time the ball is in the air in seconds
(t) and the height of the ball in feet above the
ground (h) is represented by h = −4t2 + 10t + 6.
How many seconds will it take for the ball to hit
the ground?
QA Review # 16
• An object is thrown upward. The height of the
object after being thrown can be modeled by the
equation h = –6t2 + 42t, where h is the height
above the ground in meters and t is the time in
seconds.
• At what time(s) would the object be located at 60
meters above the ground? Show your work.
QA Review # 17
• Sketch the graph of the equation on the grid
below. Be sure to include the intercepts.
• Is the maximum height of the object greater than,
less than, or equal to 60 meters? Explain your
answer.
QA Review # 18
1. A graph of a quadratic function has x-intercepts
at (7, 0) and (−5, 0). Which of the following
quadratic functions could match this graph?
x2 – 2x – 35
2. Derive the quadratic equations.