Unit 7 MID (Lessons 1-5)

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Answer explanation

(4)(4) = 16 and (-4)(-4) = 16 so the solutions are

x = 4 and x = -4

Tags

CCSS.8.EE.A.2

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Answer explanation

Any number times zero must be zero. 8 times x² has to equal zero. This means x² must equal zero! Zero is neither positive or negative. Zero is zero.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

(7)(7) = 49 and (-7)(-7) = 49 so the solutions are

x = 7 and x = -7. The picture of the graph rerepsents the quadratic when re-written to be equal to zero. x² - 49 = 0.

Tags

CCSS.8.EE.A.2

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Answer explanation

Using the zero product property x - 5 = 0 is true when x = 5 and x + 5 = 0 is true when x = -5

therefore, there are two solutions.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

Using the zero product property x + 6 = 0 is true when x = -6 andx - 4 = 0 is true when x = 4

therefore, there are two solutions.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

The black dotted line represents x². When we add 4 to it the graph will shift up. The red line is x² + 4. Since it does not go through the x-axis, there are no solutions for x.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

There are two ways to think of this.

1st way: picture the graph of x² , a U shaped graph going through the origin. Subtracting 9 will shift this graph down, causing it to cross the x-axis at two different spots. This means there are 2 solutions.

2nd way: as yourself what number minus 9 will give you zero. The only number that works is positive 9 so this means x² = 9. The numebrs that you can square to get 9 are 3 and -3.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

Picture the graph of x² , a U shaped graph going through the origin. Subtracting 18 will shift this graph down, causing it to cross the x-axis at two different spots. This means there are 2 solutions.

Tags

CCSS.HSA-REI.B.4B

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Answer explanation

This is LINEAR!

Any equation that is linear will have one solution. It is obvious to see that the only number that makes this true is when x = 5.

Tags

CCSS.6.EE.B.7

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Answer explanation

This is LINEAR!

Any equation that is linear will have one solution.

2x + 3 = 12. By subtracting 3 from both sides you are left with 2x = 8. This means x = 4 and is the only solution!

Tags

CCSS.7.EE.B.4A