Quarter Review 1B

Fraction Blocks

100

What does the yellow block represent

1 whole (y)

200

What does the red block represent

(1/2)y

300

What does the blue block represent

(1/3)y

400

What does the green block represent

(1/6)y

500

Draw in blocks how you would show y + (5/6)y

one yellow, 5 green

Solving Equations

100

Evaluate (1/2)y + (1/3)y

(5/6)y

200

Evaluate y - (2/3)y

(1/3)y

300

Solve:

(1/2)y = 3

y = 6

400

Solve: 

(2/3)y - 1 = 9

y = 15

500

Solve:

y + 1 = 2y - (1/2)y + 5

y = -8

Solving Equations 2

100

Solve:

5x = 15

x = 3

200

Solve:

4x - 1 = 15

x = 4

300

Solve:

(x+2)/5 = 1

x = 3

400

Solve: 

4x + 7 = 5x - 1

x = 6

500

(5x-2)/2 = 4

x = 2

Factoring

100

Factor using the GCF:

2x - 2

2(x -1)

200

Factor using GCF:

4x² + 8x

4x(x+2)

300

Factor using GCF:

3x²y³ + 9xy²

3xy²(xy + 3)

400

Factor with difference in squares

x²-16

(x+4)(x-4)

500

Factor:

x² - 25y²

(x+5y)(x-5y)

Factoring 2

100

Factor:

x² + 3x - 18

(x+6)(x-3)

200

Factor:

x² + 5x + 6

(x+2)(x+3)

300

Factor:

x² - x - 2

(x-2)(x+1)

400

Factor: 

x² - 7x + 10

(x-5)(x-2)

500

Factor:

2x³ + 4x² + 2x

2x(x+1)(x+1)

or 2x(x+1)²