Expressions Review

ST: 1 Simplifying

100

1.  Simplify the following expressions.

-7 + 3x + 4x

7x - 7

200

2. Simplify the following expressions.

2(3x+x)

8x

300

3. Simplify the following expressions. 

2x + 4 – 3x + 2 +3x

2x + 6

400

4. Simplify the following expressions. 

7x + 6 + 3x – 2 – 5x

5x + 4

500

Simplify the following expressions. 

13g + 2(4k - g) 

11g + 8k

ST: 3 Sums and Diff

100

6.  Find the sum and simplify the following expressions. 

     (9b + 5) + (3b – 6)

12b - 1

200

7. Find the sum and simplify the following expressions. 

        (s + 12) + (3s – 8) 

4s + 4

300

8. Find the difference and simplify the following expressions. 

       (n – 8) – (2n + 2) 

-n-10

400

9. Find the sum and simplify the following expressions. 

1/4(q-12) + 1/3(q + 9)

7/12q

500

15.  A basket holds n apples. You pick 2n – 3 apples and your friend picks n + 4 apples. Write and simplify an expression that represents the number of apples you and your friend pick together.

(3n + 1) apples

ST: 4 Factor

100

10.  Factor out the GCF:     6g + 18 

6(g + 3)

200

11. Factor out the GCF.         4f + 6

    2(f+3)

300

12. Factor out the coefficient of the variable. 

 5𝑐 − 15

5(c-3)

400

13.  Factor out the coefficient of the variable. 

1/3d + 1/3

1/3(d + 1)

500

14. Factor out the coefficient of the variable. 

     2/9j + 2/3

2/9(j + 3)