Sumário

Practice Test

484.

Locate and label $0, 2, −4, 0, 2, −4,$ and $−1 −1$ on a number line.

In the following exercises, compare the numbers, using $< or > or =. <$

485.

ⓐ $−6__3$
ⓑ $−1__−4$

486.

ⓐ $−5__| −5 |$
ⓑ $- | −2 |__−2$

In the following exercises, find the opposite of each number.

487.

ⓐ $−7$
ⓑ $8$

In the following exercises, simplify.

488.

$- (−22) - (−22)$

489.

$| 4 - 9 | | 4 - 9 |$

490.

$−8 + 6 −8 + 6$

491.

$−15 + (−12) −15 + (−12)$

492.

$−7 - (−3) −7 - (−3)$

493.

$10 - (5 - 6) 10 - (5 - 6)$

494.

$−3 \cdot 8 −3 \cdot 8$

495.

$−6 (−9) −6 (−9)$

496.

$70 \div (−7) 70 \div (−7)$

497.

${(−2)}^{3} {(−2)}^{3}$

498.

$- 4^{2} - 4^{2}$

499.

$16 −3 (5 −7) 16 −3 (5 −7)$

500.

$| 21 - 6 | - | −8 | | 21 - 6 | - | −8 |$

In the following exercises, evaluate.

501.

$35 - a when a = −4 35 - a$

502.

${(−2 r)}^{2} when r = 3 {(−2 r)}^{2}$

503.

$3 m - 2 n when m = 6, n = −8 3 m - 2 n$

504.

$- | - y | when y = 17 - | - y |$

In the following exercises, translate each phrase into an algebraic expression and then simplify, if possible.

505.

the difference of −7 and −4

506.

the quotient of $2525$ and the sum of $m m$ and $n . n .$

In the following exercises, solve.

507.

Early one morning, the temperature in Syracuse was $−8 °F. −8 °F.$ By noon, it had risen $12°. 12°.$ What was the temperature at noon?

508.

Collette owed $$128 $128$ on her credit card. Then she charged $$65. $65.$ What was her new balance?

In the following exercises, solve.

509.

$n + 6 = 5 n + 6 = 5$

510.

$p - 11 = −4 p - 11 = −4$

511.

$−9 r = −54 −9 r = −54$

In the following exercises, translate and solve.

512.

$The product of 15 and x is 75. The product of 15 and$

513.

$Eight less than y is −32. Eight less than$