Final Exam review

Presentation

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Mathematics

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9th - 12th Grade

•

Medium

•

CCSS

8.EE.B.6, 7.EE.A.1, 6.EE.A.3

+10

Standards-aligned

Timothy Alger

Used 6+ times

FREE Resource

13 Slides • 39 Questions

Point-Slope Form

Point-Slope Equations need 2 things....

A point
A slope

Multiple Choice

Which of these is point-slope?

$y-y_1=m\left(x-x_1\right)$

$y=mx+b$

$Ax+By=C$

Multiple Choice

Write an equation of the line going through the point (-4, 1) with a slope of 1/3.

$y-1=\frac{1}{3}\left(x+4\right)$

$y+4=\frac{1}{3}\left(x-1\right)$

$y-4=\frac{1}{3}\left(x+1\right)$

$y+1=\frac{1}{3}\left(x-4\right)$

Multiple Choice

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

Fill in the Blanks

Type answer...

Multiple Choice

Name the point given in this line: $y+1=-\frac{5}{4}\left(x-3\right)$

(3, 1)

(-3, -1)

(-3, 1)

(3, -1)

Fill in the Blanks

What if I'm given just 2 points?

Fill in the Blanks

Multiple Choice

Write the equation in point-slope form for the line that contains the points

(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

We also learned how to transform Point-Slope equations into Slope Intercept form.

Poll

Is this slope intercept form?

$2y\ =4x\ +10$

yes because it's $y=mx+b$

no, because there is a coefficient on the y. You need to divide the entire equation by 2 first in order to get $y=mx+b$

Multiple Choice

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

y = -3x - 23

y = -3x -13

y = -3x - 11

y = -3x+13

Fill in the Blanks

Type answer...

Multiple Choice

Two lines that are perpendicular lines have ...

Slope that is opposite reciprocals

No Slope

Slope that is the same

none of the above

Multiple Choice

Two lines that are parallel will have ...

Slope that is opposite reciprocals

No slope

Slope that is the same

none of the above

Multiple Choice

y = -2/3x + 2
y = 3/2x + 9
These lines are...

Parallel

Perpendicular

Neither

Multiple Choice

y = 3x +2
y = 3x - 3
These lines are...

Parallel

Perpendicular

Neither

The same line

Multiple Choice

What is the equation of this line in slope-intercept form?

y = 2x + 5

y = -2x + 5

y = -2x

y = 5

Multiple Choice

Which equation is perpendicular to:
y = -6x +2

y = 6x +1

y = 1/6x +4

y = -6x +3

y = -1/6x +5

Multiple Choice

Write the equation in slope-intercept form: 2x + 2y = 6

y = - x + 3

y = x + 3

y = 2x +6

y = - 2x + 6

Poll

How ready for the final exam are you?

Solving Multi-Step Equations

Follow along and answer the question in this Quizizz Lesson.

In case you need a little help, I have included some informational slides to help out.

Simplifying before Solving

As you can see in the photo to the right, some equations must be simplified before they can be solved.

The goal is to simplify the equation into a two-step equation.

The first 3 steps of this problem show how to simplify the equation.

After simplifying, we can see that we have a two-step equation and we use inverse operations to solve.

If an equation contains parentheses, like the ones you see in these examples, you must distribute the value on the outside to get rid of the parentheses.

Remember, distribute means to multiply!

Distributive Property

With all POSITIVE values.

Be careful with negatives!

Multiple Choice

5(a + 6)

5a + 6

a + 30

5a + 30

5a - 30

Multiple Choice

Which of the following is equivalent to 2(c - 8)?

2c - 16

2c + 16

2c - 8

c - 16

Multiple Choice

When an equation has parentheses, which operation should we use to simplify and get rid of the parentheses?

Add

Subtract

Multiply

Divide

Multiple Choice

-9(g - 3)

-9g + 27

9g + 27

-9g + -27

-9k - 27

Sometimes, to simplify an equation, it could involve combining like terms.

As you can see in the example, regrouping the like terms makes it easier to combine.

Combine Like Terms

When combining like terms, pay attention to the sign in front of each term.

Combining could mean we add or subtract.

Multiple Choice

Simplify the expression:

$3a+7-2a$

12a

a + 7

5a + 7

Multiple Choice

Simplify the expression:

$n-10+9n-3$

-3

9n-3

10n -13

Multiple Choice

Simplify the expression:

$4x-3+2-2x$

6x + 5

2x + 1

2x - 1

6x - 1

Multiple Choice

Simplify the expression:

$-9w+7-4w-16$

-13w -9

5w -23

-13w - 23

-5w - 9

Solving Multi-Step Equations

The first 3 steps of this problem show how to simplify the equation.

After simplifying, we can see that we have a two-step equation and we use inverse operations to solve.

On the next few slides, you will be asked to simplify and solve a few equations. Please complete these examples on your whiteboard.

Multiple Choice

Simplify the following equation and solve for x:

$2x-3+4x=27$

Show your work on your whiteboard.

x = 12

x = 4

x = 5

x = 15

Multiple Choice

Simplify the equation and solve for the variable.

$24\ =\ 3\left(3x\ -7\right)$

Show your work on your whiteboard.

$x\ =\ -9$

$x\ =\ 5$

$x\ =3$

$x\ =\ 7$

Multiple Choice

Simplify the following equation and solve for x:

$3x+2(4x-4)=3$

Show your work on your whiteboard.

x = 4

x = 3

x = 2

x = 1

Solving Multi-Step Inequalities

Solving Multi-step inequalities

very similar to solving multi-step equations
combine like terms
get all the variables on one side
isolate the variables

Multiple Choice

Solve this

$3x+4\le19$

x = 5

$x\ >5$

$x\le5$

Multiple Choice

How would you describe the answer to the previous question?

All numbers below 5

All numbers above 5

All numbers less than or equal to 5

Multiple Choice

What is the answer to this inequality?

8n-6n>24

$n>12$

$n<12$

$n\ge12$

Multiple Choice

Now solve

$16n-12\le-44$

$n\ge-2$

$n\le-2$

$n\ge2$

Multiple Choice

$33\le3\left(2+3p\right)$

$p<3$

$p<11$

$p\ge3$

Something interesting happens when you multiply or divide both side of an inequality by a negative number.

Fill in the Blanks

Type answer...

Multiple Choice

Solve this......

$3\left(3-3n\right)<36$

$n<-3$

$n>-3$

$n\le-3$

Multiple Choice

Now lets put it all together! Distribute, combine and solve!!

$-3\left(2-3x\right)<-33$

$x<3$

$x>-3$

$x<-3$

Poll

How do you feel about solving inequalities now?

Great

Good

Not good

Point-Slope Form

Show answer

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Final Exam review

Point-Slope Form

Point-Slope Equations need 2 things....

What if I'm given just 2 points?

We also learned how to transform Point-Slope equations into Slope Intercept form.

​Solving Multi-Step Equations

Solving Multi-Step Inequalities

Solving Multi-step inequalities

Something interesting happens when you multiply or divide both side of an inequality by a negative number.

Point-Slope Form

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solving Multi-Step Equations