Ch 6 Review

Ch 6 Review

Presentation

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA-REI.B.4B, 8.EE.C.7B, 7.EE.B.3

+4

Standards-aligned

Created by

David Ho

Used 1+ times

FREE Resource

20 Slides • 17 Questions

1

Ch 6 Review: Linear Equations

Finite Math

2

Solving Linear Equations

Simplify first.
Use inverse operations
Keep the equation (do the same to both sides of the equal sign).
When solving, do the Order of Operations in reverse.
Equations involving fractions, multiply through by LCD.

3

Solving Linear Equations

Simplify first.
Use inverse operations
Keep the equation (do the same to both sides of the equal sign).
When solving, do the Order of Operations in reverse.
Equations involving fractions, multiply through by LCD.

4

Math Response

Solve.

5x + 3 - 2x = 18

Type answer here

Correct Answer: 5

Deg^°

Rad

5

Solving Linear Equations

Simplify first.
Use inverse operations
Keep the equation (do the same to both sides of the equal sign).
When solving, do the Order of Operations in reverse.
Equations involving fractions, multiply through by LCD.

6

Math Response

Solve.

$\frac{14}{3}x+2x=\frac{145}{6}$

Type answer here

Correct Answer: \frac{29}{8}

Deg^°

Rad

7

Solving Linear Equations

Simplify first.
Use inverse operations
Keep the equation (do the same to both sides of the equal sign).
When solving, do the Order of Operations in reverse.
Equations involving fractions, multiply through by LCD.

8

Math Response

Solve.

8x + 7(6 - x) = 4(2x + 7)

Type answer here

Correct Answer: 2

Deg^°

Rad

9

Equations with No Solutions or All Real Numbers

5 = -9 18 = 18

10

Solving Proportions - Cross Multiply

11

Math Response

Solve.

$\frac{3x-3}{7x-4}=\frac{7}{10}$

Type answer here

Correct Answer: -\frac{2}{19}

Deg^°

Rad

12

Math Response

Six less than six times a number is the same as eight times the number. Find the number.

Type answer here

Correct Answer: -3

Deg^°

Rad

13

Math Response

It takes Jorge 48 minutes to type and spell check 9 pages of manuscript. Find how long it takes him to type and spell check 12 pages.

Type answer here

Correct Answer: 64

Deg^°

Rad

14

Math Response

The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 3 hours and uses 45 gallons of fuel. Find the number of gallons of fuel that the helicopter uses to fly for 5 hours.

Type answer here

Correct Answer: 75

Deg^°

Rad

15

Math Response

Jason has received scores of 85, 90, and 97 on this math tests. What is the minimum score he must received on the fourth test to keep an average of at least 90%

Type answer here

Correct Answer: 88

Deg^°

Rad

16

Finding the Product of Polynomials

17

Finding the Product of Polynomials

18

Finding the Product of Polynomials

19

Finding the Product of Polynomials

20

Finding the Product of Polynomials

21

Multiple Choice

Find the product.

(5x + 1)(7x - 1)

1

21x² - 4x - 1

2

35x² + 2x - 1

3

35x² + 12x + 1

4

35x² - 12x + 1

22

Factoring with the X-Method

1. Factor out GCF (if any).
2. Identify a, b, and c.
3. ac on top and b on bottom.
4. Find candidates.
5. Divide candidates by a.
6. Write the factors.

23

Factoring with the X-Method

1. Factor out GCF (if any).
2. Identify a, b, and c.
3. ac on top and b on bottom.
4. Find candidates.
5. Divide candidates by a.
6. Write the factors.

24

Factoring with the X-Method

1. Factor out GCF (if any).
2. Identify a, b, and c.
3. ac on top and b on bottom.
4. Find candidates.
5. Divide candidates by a.
6. Write the factors.

25

Factoring with the X-Method

1. Factor out GCF (if any).
2. Identify a, b, and c.
3. ac on top and b on bottom.
4. Find candidates.
5. Divide candidates by a.
6. Write the factors.

26

Factoring with the X-Method

1. Factor out GCF (if any).
2. Identify a, b, and c.
3. ac on top and b on bottom.
4. Find candidates.
5. Divide candidates by a.
6. Write the factors.

27

Multiple Choice

Factor completely.

3x² + 16x - 64

1

Not factorable

2

(3x - 8)(x + 8)

3

(3x - 8)(x - 8)

4

(3x - 4)(x + 16)

28

Multiple Choice

Factor completely.

6x² + 72x + 120

1

Not factorable

2

6(x - 10)(x - 2)

3

6(x + 10)(x + 2)

4

6(x + 5)(x + 4)

29

Solving using the Zero Product Property

1. Factor
2. Set each factor equal to zero
3. Solve.

30

Multiple Choice

Solve.

(2b + 7)(2b - 5) = 0

1

$\left\{-\frac{7}{2},\frac{5}{2}\right\}$

2

$\left\{-4,\frac{5}{2}\right\}$

3

$\left\{-2,-6\right\}$

4

$\left\{-5,5\right\}$

31

Multiple Choice

Solve.

x² + 6x + 5 = 0

1

$\left\{5\right\}$

2

$\left\{5,1\right\}$

3

$\left\{-5,-1\right\}$

4

$\left\{-5,-6\right\}$

32

1. Identify a, b, c.
2. Find the discriminant, b² - 4ac
3. Finish with

Quadratic Formula

33

What does the discriminant tell, b² - 4ac

Position >>> 2 REAL solutions

Zero >>> 1 REAL solution

Negative >>> 2 IMAGINARY solutions (no real solutions)

34

Multiple Choice

Solve with the quadratic formula.

3x² + 10x - 22 = 0

1

No solution.

2

$\left\{-1+\sqrt[]{17},-1-\sqrt[]{17}\right\}$

3

$\left\{\frac{-1+\sqrt[]{65}}{4},\frac{-1-\sqrt[]{65}}{4}\right\}$

4

$\left\{\frac{-5+\sqrt[]{91}}{3},\frac{-5-\sqrt[]{91}}{3}\right\}$

35

Multiple Choice

The discriminant, b² - 4ac, is equal to -5. What does this tell you about the solutions of the quadratic function?

1

There are infinitely many solutions.

2

There are no real solutions.

3

There is 1 real solution.

4

There are 2 real solutions.

36

Math Response

Evaluate. Use x = - 3, y = 4, and z = 5

y² - (z + x - y + z)

Type answer here

Correct Answer: 13

Deg^°

Rad

37

Multiple Choice

Solve.

5n - 9 > 1 - 5n

1

n < -21

2

{all real numbers}

3

n > 1

4

n > -21

Ch 6 Review: Linear Equations

Finite Math

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