EOC Review Day 4

EOC Review Day 4

Multiplying Binomials using the Box Method

(2x+1)(x-5)

2x(x-5)+1(x-5)

Distribute:

2x²-10x+x-5

Combine the middle terms

2x²-9x-5

Multiple Choice

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5
• 3x² + 4x - 5
• 3x² + 14x + 5
• 3x² + 14x - 5

Multiple Choice

Find the product:
(3x + 2)(2x + 4)

• 6x² + 16x + 8

• 5x² +11x + 6

• 5x² + 16x + 6

• 6x² + 11x + 8

Factoring is the opposite of multiplying

Factor the following:

x²+x-6

Does a=1? Yes!

Find two factors of -6 that add to 1: 3 and -2

Write as factors:

(x+3)(x-2)

Graph or multiply to check your answer!

Factoring is the opposite of multiplying

Factor the following:

3x²-2x-8

Does a=1? No! Can I divide all the terms by a? No!

Multiply by 3 first: 3 x -8=-24

Find two factors of -24 that add to -2: -6 and 4

Write as factors and divide by 3:

(x-6/3)(x+4/3)

(x-2)(3x+4)

Factoring is the opposite of multiplying

Factor the following:

2x²+10x+12

Does a=1? No! Can I divide all the terms by 2? Yes!

2(x²+5x+6)

Find two factors of 6 that add to 5: 2 and 3

Write as factors:

(x+2)(x+3)

Don't forget the GCF: 2(x+2)(x+3)

Multiple Choice

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Multiple Choice

Factor: 4x² - 20x + 25

• (4x - 25) (x -1)
• (2x + 5) (2x - 5)
• (2x - 5)²
• (4x - 5) (x - 5)

Multiple Choice

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

Multiple Choice

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

• (c-6)(2c+14)
• (c+7)(2c-12)
• (c-4)(2c+21)
• 2(c+7)(c-6)

Solutions from factors

Find the solutions from factoring:

x²+4x-12

Factor: (x+6)(x-2)

Find solutions from factors:

x+6=0 x-2=0

x=-6 x=2

*Check by graphing. The x-intercepts will be -6 and 2

Multiple Choice

Solve by factoring.

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Perfect Square Trinomials

Multiple Choice

Factor

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Multiple Choice

What is the missing number?

(x+_)² = x²+8x+16

• 4

• 8

• 32

• 0

Systems of Linear Equations

You can find the solution to the system using any of the following methods:

1. Graphing

2. Substitution

3. Eliminiation

4. Table of values

If given two tables, find the solution they have in common

Both tables have the ordered pairs (3,2). This is the point that they cross

**Graph the table to check

If given a graph, find the point of intersection

The point of intersection is (3,2). That is the solution to the system of equations

Elimination Method

Solve the system of equations:

2x-y=1

-3x+y=-5

When you combine the two equations, the y variable eliminates.

-x=-4

x=4

Plug in 4 for x in either equation and solve for y

2(4)-y=1

8-y=1

y=7

Multiple Choice

What is the solution to the system?

• (6, 8)
• (8, 6)
• (-6, 8)
• No solution

Multiple Choice

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4

Multiple Choice

Solve:

y = 5x + 9

2y + 2x = -18

• (5, 0)

• (9, 18)

• (-3, -6)

• (1, 16)

Multiple Choice

What is the solution to the system:

  5x+6y= -10

3x-2y= -6

• (-2,0)

• (0,-2)

• (2,0)

• (0,2)