Classroom Response Multiplication for the nation
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The document discusses multiplication and commutative properties. It provides examples of multiplying numbers and identifies which sums have the same answers. It asks the reader to identify matching products in quick multiplication problems. The document emphasizes that the order of factors does not matter in multiplication, as 6 x 2 and 2 x 6 both equal 12.
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Question 11. Determine which of the following points lies on .docx
Question 1
1. Determine which of the following points lies on the graph of the equation:
(0,7)
(0,6)
(0,5)
(6,5)
(1,5)
Question 2
Complete the table. Use the resulting solution points to sketch the graph of the equation.
Question3
Graphically estimate the x- and y- intercepts of the graph:
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y-intercept: (0,0)
x-intercept: (3,0),(0,0)
y-intercept: (0,0)
x-intercept: (-3,0),(0,0)
y-intercept: (0,0)
x-intercept: (0,±3),(0,0)
y-intercept: (0,0)
x-intercept (0,3),(0,0)
y-intercept (0,0)
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y-intercept: (0,-7)
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2.
no
yes
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9
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-8
7
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2/3
3/2
6/5
5/6
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3
67
-3
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All real numbers
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Solve the equation and check your solution.
10
6
7
9
8
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2
5
6
4
10
Question 12
3.
4. Solve the equation and check your solution. (If not possible, explain why)
5.
-18
7
11
No solution. The variable is divided out.
20
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1,5
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-1/4
-4
±4
1/4
Question 16
Solve the equation by extracting square roots.
(x+6)2 = 5
6 + √5
-6 ± √5
-6 -√5
6 ± √5
-6 + √5
Question 17
Use the Quadratic Formula to solve
x2 + 20x + 98 = 0
x = -8, x = -12
x = -√2 - 10, x = √2 - 10
x = -√3 - 10, x = √3 - 10
x = 10, x = -10
x = -√2 - 9, x = √2 - 9
Question 18
Write the complex number in standard form.
√ -9
3i
-3i
9i
4i
-9i
Question 19
Find real numbers a and b such that the equation is true.
a + bi = 14 + 2i
a=16, b=4
a=18, b=6
a=14, b=2
a=15, b=14
a=17, b=5
Question 20
Find all solutions to the following equation.
x = -17/4
x=9
no solution
x=-17
x=-8
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1. Determine which ...
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Classroom Response Multiplication for the nation
- 1. Type your name and send: Next page MULTIPLICATION..... FOR THE NATION
- 2. Multiplication When we multiply we are finding ‘lots of’ 4 x 6 = 4 lots of 6 6 x 4 = 6 lots of 4 = 24 = 24 Next page
- 3. 6 X 3 = 18 3 X 6 = 6 X 5 = 30 5 X 6 = 3 X 7 = 21 7 X 3 = Which sums have the same answers? Next page
- 4. 6 X 4 = 18 C 4 X 6 = A 5 X 6 = B 7 X 3 = Which sum has the same answer as? Next page
- 5. 7 X 4 = 28 C 4 X 6 = A 5 X 6 = B 7 X 4 = Which sum has the same answer as? Next page
- 6. When a sum can be done in any order we say it is commutative It doesn’t matter whether you do the sum as 6 x 2 OR 2 x 6 You get the same answer Next page
- 7. 5 x 2 = 10 2 x 5 = 10 3 X 4 = 12 4 X 3 = 12 Next page