Factoring
Inequalities and Equations
Like Terms
Writing Expressions/Equations/Inequalities
Equivalent Expressions
100

Factor this expression.

11z - 22

11 ( z - 2 )

100

Solve for x

3x - 12 < 12

x < 8

100

Combine Like Terms.

12t - 16t + 11

-4t + 11

100
I found a shirt that was 23 percent off. If the price of the shirt is represented by x, how much does the shirt cost?

.77x

100

Which of the following expressions are equivalent to the expression 0.5x - 3y - 0.5x ?

a. 0.5 ( x - 6y - x )                  b. 3 ( y - x )

c. 3y                                       d. 0.5y

A and C

200

Factor this expression.

4n + 20

4 ( n + 5 )

200

Solve for t

14 ( t - 3 ) = 28

t = 5

200

Combine Like Terms.

6 ( j - 3 ) - 6j + 19

1

200

I am making cookies for a bake sale. I want to bake more than 190 cookies in batches of 10 cookies. So far, I've made 90 cookies. Write an inequality that describes my situation (if b represents the amount of cookies I still need to bake).

190 > 10b + 90

200

Which of the following expressions are equivalent to the expression 12e - 12 + 14a - 4 ?

a. 12e + 14a - 8                     b. 2 ( 6e + 7a - 8 )

c. -16 + 12e + 14a                 d. e ( 12 + 14a - 16)

B and C

300

Factor this expression.

9x - 12y + 6

3 ( 3x - 4y + 2 )

300

Solve for r.

r/2 - 1 > 8

r > 18

300

Combine Like Terms.

9x - 12 + 14x + 1 - x2 - 3x

20x - 11 - x2

300

To ride in an uber, you have to pay a flat fee of 4$, and an additional 1.30$ per mile driven (m). I can't spend more than 54$ on a ride. Write an inequality that describes the situation.

54 >= 1.30m + 4 

300

Which of the following expressions are equivalent to the expression -17w - 34e?

a. - ( 17w + 34e )                   b. -17 ( w + 2e )

c. 17 ( -w - 34e )                    d. -48ew

A and B

400

Factor this expression.

7c + 13abc - 11bc

c ( 7 + 13ab - 11b )

400

IS < and > OPEN CIRCLE OR CLOSED CIRCLE AND WHY

Open, it can't equal the number, it has to be less or greater than.

400

Combine Like Terms.

-12 ( 2y - 1 ) + 26y - ( - 5y )

7y + 12

400

James walked around a square parking lot with all sides having the measurement n. Then, he walked an additional 12 feet. Write an expression to describe his walk distance

4n + 12

400

Which of the following expressions are equivalent to the expression 81c2 - 4?

a. (9c)(9c) - 4                       b. 80c + 1c - 2 - 2

c. 4 ( 76c2 - 1 )                     d. c ( 81c - 4 )

A

500

Factor this expression.

-3v + 9vwz - 33vz

-3v ( 1 - 3wz + 11z )

500

Solve for u.

9 - ( 8u + 12 ) = 5

u = -1

500

Combine Like Terms.

-15 + 3 ( 8x + 3v - 11) + 21 - 11x

13x + 9v - 27

500

There are 800 seats at a football field. The teachers are using 3/5 of the seats, and the students are using 130 seats. How many seats are not being used? Write an expression for this situation.

800 - (800 x 3/5 + 130)

500

Which of the following expressions are equivalent to the expression 4a + 6 ?

a. 2 ( 2a + 3 )                        b. 18a + 8 - 14a - 2

c. 2a + 2a + 4 + 4                  d. 0.5 ( 8a + 12 )

A, B, and D

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