Sumário

Practice Test

406.

For the numbers $0.18349…, 0. \overset{–}{2}, 1.67, 0.18349…,$ list the ⓐ rational numbers and ⓑ irrational numbers.

Is $\sqrt{144} \sqrt{144}$ rational or irrational?

408.

From the numbers $−4, - 1 \frac{1}{2}, 0, \frac{5}{8}, \sqrt{2}, 7, −4,$ which are ⓐ integers ⓑ rational ⓒ irrational ⓓ real numbers?

409.

Rewrite using the commutative property: $x \cdot 14 =_________x \cdot 14 =$

410.

Rewrite the expression using the associative property: $(y + 6) + 3 =_______________(y + 6) + 3 =$

411.

Rewrite the expression using the associative property: $(8 \cdot 2) \cdot 5 =___________(8 \cdot 2) \cdot 5 =$

412.

Evaluate $\frac{3}{16} (\frac{16}{3} n) \frac{3}{16} (\frac{16}{3} n)$ when $n = 42 . n = 42 .$

413.

For the number $\frac{2}{5} \frac{2}{5}$ find the ⓐ additive inverse ⓑ multiplicative inverse.

In the following exercises, simplify the given expression.

414.

$\frac{3}{4} (−29) (\frac{4}{3}) \frac{3}{4} (−29) (\frac{4}{3})$

415.

$−3 + 15 y + 3 −3 + 15 y + 3$

416.

$(1.27 q + 0.25 q) + 0.75 q (1.27 q + 0.25 q) + 0.75 q$

417.

$(\frac{8}{15} + \frac{2}{9}) + \frac{7}{9} (\frac{8}{15} + \frac{2}{9}) + \frac{7}{9}$

418.

$−18 (\frac{3}{2} n) −18 (\frac{3}{2} n)$

419.

$14 y + (−6 z) + 16 y + 2 z 14 y + (−6 z) + 16 y + 2 z$

420.

$9 (q + 9) 9 (q + 9)$

421.

$6 (5 x - 4) 6 (5 x - 4)$

422.

$−10 (0.4 n + 0.7) −10 (0.4 n + 0.7)$

423.

$\frac{1}{4} (8 a + 12) \frac{1}{4} (8 a + 12)$

424.

$m (n + 2) m (n + 2)$

425.

$8 (6 p - 1) + 2 (9 p + 3) 8 (6 p - 1) + 2 (9 p + 3)$

426.

$(12 a + 4) - (9 a + 6) (12 a + 4) - (9 a + 6)$

427.

$\frac{0}{8} \frac{0}{8}$

428.

$\frac{4.5}{0} \frac{4.5}{0}$

429.

$0 \div (\frac{2}{3}) 0 \div (\frac{2}{3})$

In the following exercises, solve using the appropriate unit conversions.

430.

Azize walked $4 \frac{1}{2} 4 \frac{1}{2}$ miles. Convert this distance to feet. $(1 mile = 5,280 feet). (1 mile = 5,280 feet).$

431.

One cup of milk contains $276276$ milligrams of calcium. Convert this to grams. $(1 milligram = 0.001 gram) (1 milligram = 0.001 gram)$

432.

Larry had $55$ phone customer phone calls yesterday. The calls lasted $28, 44, 9, 75, and 55 28, 44, 9, 75, and$ minutes. How much time, in hours and minutes, did Larry spend on the phone? $(1 hour = 60 minutes) (1 hour = 60 minutes)$

433.

Janice ran $1515$ kilometers. Convert this distance to miles. Round to the nearest hundredth of a mile. $(1 mile = 1.61 kilometers) (1 mile = 1.61 kilometers)$

434.

Yolie is $6363$ inches tall. Convert her height to centimeters. Round to the nearest centimeter. $(1 inch = 2.54 centimeters) (1 inch = 2.54 centimeters)$

435.

Use the formula $F = \frac{9}{5} C + 32 F = \frac{9}{5} C + 32$ to convert $35 °C 35 °C$ to degrees $F F$