Equation Review

Surprise!

100

28.743x = 365.61096

12.72

200

10 + x/6 = -3

-78

300

19 = -3x - 2(-6x + 22)

7

400

-7x - 65 = 105 - 2x

-34

500

All 231 students in the Math Club went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many of each type of vehicle did they use if there were 15 vehicles total?

8v; 7b

Exponents

100

Simplify:     6r ⋅ 5r²

30r³

200

Simplify:     9xy² ⋅ 9x⁵y²

81x⁶y⁴

300

Simplify using only positive exponents:     (2x²)²

4x⁴

400

Simplify only using positive exponents:     10p⁴/6p

5p³/3

500

(3x² ⋅ 2x² )²

36x⁸

Multi-step Equations

100

3x + 6(6x + 5) = 225

5

200

6x + 6(7x - 2) = 228

5

300

3x + 5(6x + 22) = -121

-7

400

-18 = 6x - 3(5x - 12)

6

500

-18 = 6x - 3(5x - 12)

6

Variables on Both Sides

100

15x - 21 = 13x + 13

17

200

-78 - 6x = -11x + 87

33

300

13x - 90 = 5x + 102

24

400

-2x - 124 = 36 + 6x

-20

500

−5(1 − 5x) + 5(−8x − 2) = −4x − 8x

-5

Scientific Notation

100

Write in Scientific Notation:     0.000000786

7.86 X 10^-7

200

Write in Standard Notation:     6.17 × 10³

6,170

300

Rewrite in proper Scientific Notation:     28.8 × 10^-9

2.88 X 10^-8

400

Simplify and rewrite in Scientific Notation:     (4.11 × 10⁵ )(8.65 × 10^-5)

3.555 X 10¹

500

Simplify and rewrite in Scientific Notation:     (8.31 × 10^-3 )(6.6 × 10^-6)

5.485 X 10^-8