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Decimal
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Fraction Action
100

Write  −2 ≤ x < 3  in interval notation

[−2, 3)

100

simplify: x⁹ / x⁵

x⁴

100

Write  93,000,000  in scientific notation

9.3 × 10^7

100

Factor completely:   12x^2 − 18x

6x(2x − 3)

100

State the domain:   x / (x^2 − 5x + 6)

x ≠ 2  and  x ≠ 3

200

Write  (1, ∞)  as an inequality

x > 1

200

Evaluate: −2^4 and (-2)^4

-16, 16


200

Write  6.1 × 10^−4  in standard form

0.00061

200

Factor:   x^2 − 49

(x + 7)(x − 7)

200

Simplify:   (x^2 − 1) / (x^2 + x − 2)

(x + 1) / (x + 2)

300

Let  A = (−∞, 2]  and  B = (0, 5).   Find  A ∩ B

(0, 2]

300

Simplify: (a³b⁻²) / (a⁻¹b⁴)

a⁴ / b⁶

300

Write  0.00042  in scientific notation

4.2 × 10−4

300

Factor:   x^2 + 7x + 12

(x + 3)(x + 4)

300

Add:   3/(x − 1) + x/(x + 2)

(x2 + 2x + 6) / [(x − 1)(x + 2)]

400

Let  A = (−∞, 2]  and  B = (0, 5).   Find  A ∪ B

(−∞, 5)

400

Evaluate: 16^(3/4)

8

400

Simplify:   (3 × 10^4)(2 × 10^5)

6 × 10^9

400

Factor by grouping:   x^3 + x^2 + 4x + 4

(x + 1)(x^2 + 4)

400

Divide:   (x − 4)/(x^2 − 4)  ÷  (x^2 − 3x − 4)/(x^2 + 5x + 6)

(x + 3) / [(x − 2)(x + 1)]

500

Write  {x ∈ ℝ | x < −1 or x ≥ 4}  in interval notation

(−∞, −1) ∪ [4, ∞)

500

Simplify with no negative exponents: (2x⁻¹y²)⁻³ / (8x²y⁻¹)

x / (64y⁵)

500

Simplify and put in scientific notation:   (8 × 10^5) / (4 × 10^−3)

2 × 10^8

500

6x^2 + 7x − 5

(2x − 1)(3x + 5)

500

Simplify the compound fraction:   (x/y + 1) / (1 − x/y)

(x + y) / (y − x)