M2 Unit O Review

Solving equations

100

6x-5 = 7-9x

x=4 /5

200

6y-5 = -3(2y+1) 

y = 1/6

300

-1.6r +5 = -7.8

r=8 

400

Identify the error in the problem

5+3x = 5x-19

  -3x  -3x

    5= 2x -19

    +19    +19

     24/24 =(2x)/24

        x= 1/12

 

Last step divided by 24 instead of 2

500

Identify the error in the problem? 

5(x+3) = 4x-2

5x+3  = 4x-2

-4x     -4x

x+3  = -2

  -3   -3 

  x  = -5

Did not distribute properly 

Order of Operations

100

Simplify: (-4)² + 32(4) 

144

200

Simplify: (-5)² - 52 + 6(2)

-15

300

14 / (8 -20 /2 )

-7

400

(7- 3²)² + 6²

40

500

(6+9 divide 3 + 15)/(8-2)

4

Adding/Subtracting Polynomials

100

Simplify: 

3x² + 5x - 2 + (4x² - 6x - 8)

7x² - x - 10

200

Find the sum of x² +3x - 5 and -3x² - 4x +20

-2x² - x + 15

300

Find the difference between:

 -x² + 4x - 7 and 8x² + 6x - 4

-9x² - 2x - 3

400

Subtract -3x² +5x - 6 from 4x² + 7x + 17.

7x² + 2x + 23 

500

(-6n-13n²)+(-3n+9n²)

-4n²-9n

Multiplying Polynomials

100

Simplify:

(x + 4)(x + 4)

x² + 8x +16

200

Simplify:

(2x + 3)(3x + 4)

6x² + 17x + 12

300

Simplify:

(3x + 5)²

9x² + 30x +25

400

Simplify and give in standard form:

(2m - 5)²

4m² - 20m + 25

500

Simplify:

(a + 5)(2a² + 3a - 6)

2a³ + 13a² + 9a - 30

Variety

100

What is the greatest common factor of 18 and 45?

9

200

A triangle has vertices on a coordinate grid at V(−7,5), W(6,5), and X(6,−10). What is the length, in units, of VW?

13

300

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

12.4

400

A middle school took all of its 6th grade students on a field trip to see a play. The students filled 1491 seats, which was 71% of the total number of seats in the theater. How many total seats were in the theater?

2100

500

Factor.

x²−8x−20

(x+2)(x−10)