Worksheet by Kuta Software LLC

Grade 8th Mathematics Enrichment Packets

This At-Home Enrichment packet are practice problems that

align to important math concepts your child can work on to

develop their mathematical fluency and skills. Show all work.

For solving problems with formulas, follow the following steps:

Refer to the reference sheet

1. Write the formula

2. Substitute the numbers in the formula

3. Solve the problem

You have your math textbook for examples to refer to for each

lesson.

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC

Order of Operations

Name___________________________________

Date________________ Period___________

Evaluate each expression.

1) 3(6 + 7) 2) 5 × 3 × 2

3) 72 ÷ 9 + 7 4) 2 + 7 × 5

5) 9 + 8 − 7 6) 9 − 32 ÷ 4

7) 5(10 − 1) 8) 48 ÷ (4 + 4)

9) 20 ÷ (4 − (10 − 8)) 10) 40 ÷ 4 − (5 − 3)

11) 9 + 9 + 6 − 5 12) (5 + 16) ÷ 7 − 2

Worksheet by Kuta Software LLC

The Distributive Property

Name___________________________________ Date________________ Period____

Simplify each expression.

1) 6(1 − 5m) 2) −2(1 − 5v)

3) 3(4 + 3r) 4) 3(6r + 8)

5) 4(8n + 2) 6) −(−2 − n)

7) −6(7k + 11) 8) −3(7n + 1)

9) −6(1 + 11b) 10) −10(a − 5)

11) −3(1 + 2v) 12) −4(3x + 2)

13) (3 − 7k) ⋅ −2 14) −20(8x + 20)

Worksheet by Kuta Software LLC

Scientific Notation

Name________________

Date________________ Period____

Write each number in scientific notation.

1) 0.000000786 2) 3940

3) 4.7 4) 1260000

5) 0.06 6) 175

Write each number in standard notation.

3 4

7) 6.17 × 10 8) 7 × 10

6 −8

9) 7.31 × 10 10) 5.4 × 10

−3 2

11) 6.7 × 10 12) 9.59 × 10

Write each number in scientific notation.

6 −8

13) 0.2 × 10 14) 30 × 10

Worksheet by Kuta Software LLC

Two-Step Equation Name_________________________________________________________________ Date___________________ Grade________ Solving Equations (two step problems-contains negatives) Solve for x in each problem. 1.) 10 + 6x = 64 2.) - 5x + 8 = 48 3.) - 4x + 4 = 36 4.) 3x + 4 = - 8 5.) - 4 + 4x = - 40 6.) 3x + 2 = 23 7.) 8 - 2x = 4 8.) - 7 + 5x = 23 9.) 6x + 5 = - 67 10.) - 5 - 7x = - 68 11.) 6x - 10 = 8

12.) 3x + 1 = - 11

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC

Worksheet by Kuta Software LLC