Rewrite these sentences, using the words and phrases in brackets in the best order, as in the example. Note that none of these sentencesv is emphatic.

0. My parents (allowed/hardly ever) us to (late/on weekdays/stay up).

-> My parents hardly ever allowed us to stay up late on weekdays.

1. Such losses (have/would/normally/avoided/been) by the use of back-up devices.

->

2. These children (never/have/had/probably) the opportunities we take for granted.

->

3. (no longer/is/unfortunately, access to the Internet) available (on weekday morning free of charge/at our libraries).

->

4. We (unable/offer/are/usually/to) refunds on the spot, but we will examine (thoroughly before the end of the week/ your claim).

->

5. Many of the old masters had assistants who would prepare the oil pigments (each morning/by hand/in their studios).

->

Tick (✔) all those adverbs which can complete the sentences and cross (✘) those that cannot, an in the example. In one case, none of the adverbs will fit.

0. The bank robbers __________ opened the door to the secret compartment.

A. slowly _____✔_____

B. last week _____✘_____

C. probably _____✘_____

1. The public don’t __________ respond in the ways advertisers expect them to.

A. sometimes __________ B. immediately __________ C. always __________

2. I haven’t been to the cinema __________.

A. yet __________ B. often __________ C. very often __________

3. Signs of radiation leakage have been __________ reported at the power station.

A. often __________ B. this week __________ C. always __________

4. __________ have our clients been subjected to such outrageous demands.

A. never __________ B. rarely __________ C. admittedly __________

5. I’m afraid the bank does not __________ permit such large overdrafts.

A. generally __________ B. any longer __________ C. any more __________​

6. The patient __________ reacts to any kind of bright light.

A. badly __________ B. immediately __________ C. usually __________

7. He plays the saxophone __________.

A. too __________ B. quite rarely __________ C. never __________

8. The data from those sensors isn’t __________ reliable.

A. absolutely __________ B. sometimes __________ C. always __________

9. The last contestant stood up up and sang the song __________.

A. beautifully __________ B. well __________ C. badly __________

Chứng minh đẳng thức:

a) Cho \(2\left(a^2+b^2\right)=\left(a-b\right)^2.\) Chứng minh rằng a; b là 2 số đối nhau.

b) Cho \(a^2+b^2+c^2+3=2\left(a+b+c.\right)\) Chứng minh rằng a = b = c = 1

c) Cho \(\left(a+b+c\right)^2=3\left(ab+ac+bc\right).\) Chứng minh rằng a = b = c

Bài 1: Tìm GTNN của biểu thức:

\(A=x^2+3x+7\)

\(B=2x^2-8x\)

\(C=x^2-4x+y^2-8y+6\)

\(D=\left(x+1\right)\left(x-2\right)\left(x-3\right)\left(x-6\right)\)

Bài 2: Tìm GTLN của biểu thức:

\(A=11-10x-x^2\)

\(B=-3x\left(x+3\right)-7\)

\(C=5-x^2+2x-4y^2-4y\)

\(D=\left|x-4\right|\left(2-\left|x-4\right|\right)\)