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Lesson 4 - Unit 7 - Algebra 1 - Illustrative Mathematics

Last updated over 3 years ago

12 Nsɛmmisa

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1.

If the equation (x+10)x=0 is true, which statement is also true according to the zero product property?

only x=0

either x=0 or x+10 =0

either x^{2}=0 or 10x=0

only x+10=0

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2.

What are the solutions to the equation (10-x)(3x-9)=0?

-10 and 3

-10 and 9

10 and 3

10 and 9

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5.

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6.

Consider the expressions (x-4)(3x-6) and 3x^{2}-18x+24.
Show that the two expressions define the same function.

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7.

Kiran saw that if the equation 5x^{2}-4x-18=20 is true, then, by the zero product property, either x+2 is 0 or x-4 is 0. He then reasoned that, if (x+2)(x-4)=72 is true, then either x+2 is equal to 72 or x-4 is equal to 72.
Explain why Kiran’s conclusion is incorrect.

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10.

Select all the solutions to the equation 7x^{2}=343.

49

-\sqrt7

7

-7

\sqrt49

\sqrt-49

-\sqrt49

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11.

Here are two graphs that correspond to two patients, A and B. Each graph shows the amount of insulin, in micrograms (mcg) in a patient' body hours after receiving an injection. The amount of insulin in each patient decreases exponentially.
Select all statements that are true about the insulin level of the two patients.

After the injection, the patients have the same amount of insulin in their bodies.

An equation for the micrograms of insulin, a, in Patient A's body h hours after the injection is a=200*(\frac{3}{5})^{h}.

The insulin in Patient A is decaying at a faster rate than in Patient B.

After 3 hours, Patient A has more insulin in their body than Patient B.

At some time between 2 and 3 hours, the patients have the same insulin level.

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12.

Han says this pattern of dots can be represented by a quadratic relationship because the dots are arranged in a rectangle in each step.
Do you agree? Explain your reasoning.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 4. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/4/index.html ; accessed 26/July/2021.

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