Algebra 1 8-6 Guided Practice: Factoring ax² + bx+ c
By Matt Richardson
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Last updated almost 3 years ago
12 Questions
10 points
10
Question 1
1.
Solve It! An array of three rectangular solar panels has the area below:
Solve It! An array of three rectangular solar panels has the area below:
The height of the array is x + 3. What is the length of the array?
A.SSE.1.a
A.APR.1
4 points
4
Question 2
2.
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
5x^{2}+11x+2
What two numbers have a product of 10 and a sum of 11?
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
5x^{2}+11x+2
What two numbers have a product of 10 and a sum of 11?
4 points
4
Question 3
3.
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
6x^{2}+13x+5
What two numbers have a product of 30 and a sum of 13?
Take Note: Factoring when ac is positive.
To factor the expression below, you will need to find factors of ac that have a sum of b.
6x^{2}+13x+5
What two numbers have a product of 30 and a sum of 13?
10 points
10
Question 4
4.
Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.
Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.
- (3x + 5)
- (2x + 1)
- (3x + 2)
- (3x + 1)
- 6x² + 13x + 5
A.SSE.1.a
A.APR.1
10 points
10
Question 5
5.
Problem 1 Got It? Reasoning: Consider the trinomial below.
Problem 1 Got It? Reasoning: Consider the trinomial below.
Suppose ac is positive and b is negative. What do you know about the factors of ac?
A.SSE.1.a
4 points
4
Question 6
6.
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
3x^{2}+4x-15
What two numbers have a product of -45 and a sum of 4?
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
3x^{2}+4x-15
What two numbers have a product of -45 and a sum of 4?
4 points
4
Question 7
7.
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
10x^{2}+31x-14
What two numbers have a product of -140 and a sum of 31?
Take Note: Factoring when ac is negative.
To factor the expression below, you will need to find factors of ac that have a sum of b.
10x^{2}+31x-14
What two numbers have a product of -140 and a sum of 31?
10 points
10
Question 8
8.
Problem 2 Got It?
Problem 2 Got It?
A.SSE.1.a
A.APR.1
10 points
10
Question 9
9.
Problem 3 Got It?
Problem 3 Got It?
A.SSE.1.a
A.APR.1
8 points
8
Question 10
10.
Take Note: Match each expression with its GCF monomial.
| arrow_right_alt | 6x | |
| arrow_right_alt | 4 | |
| arrow_right_alt | 3 | |
| arrow_right_alt | 2 |
10 points
10
Question 11
11.
Problem 4 Got It?
Problem 4 Got It?
A.SSE.1.a
A.APR.1
10 points
10
Question 12
12.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?