句動詞をクリックして意味と例文を表示させてね。

make the best of = to accept a bad or difficult situation and do as well as you can (oxford) = 不利な条件の中で最善をつくす

She instilled in the children the virtues of good hard work, and making the best of what you have. (Collins Cobuild)

turn ～'s back on = 背を向ける　見捨てる

When on stage, try not to turn your back on the audience. (oxford)

give it a go = 試しにやってみる

I doubt if he'll listen to advice from me, but I'll give it a go. (oxford)

give it a tryも同じ意味。give it a shot、 give it a stab　などもあり。

live up to = 期待に添う

He failed to live up to his parents' expectations. (oxford)

expectation の他に standard もよく使われる。

run into = ～に陥る

We ran into some problems setting up the computer. (Merriam-Webster OnLine)

trouble, difficulties, debt problem などが多い。

We ran into thick fog on the way home. (oxford)みたいに、出くわす、という意味も。

meet with =
①～と会合を持つ、会談する
②そういった反応を得る

①The president met with senior White House aides. (oxford)
単にmeetを使うより、事前に約束したフォーマルな会合の意味になる。

②Her proposal met with resistance from the Left. (oxford)
approval、oppositionなどもよく使われる。

show someone up = 目立たせる　恥ずかしい思いをさせる

He showed me up by snoring during the concert. (oxford)

もちろんshow up＝現れるの意味も。

with a vengeance = with great force or effort

・She set to work with a vengeance.
・After two days the infection came back with a vengeance.
(共にoxford)

・After losing the first three games, the team came back with a vengeance to win the next four.
・She set to work with a vengeance and finished the job in two hours.
(共にMerriam-Webster OnLine)

別に復讐とは関係ないっぽい。単に「徹底的に」という意味。

in conformity with = ～に基づいて

▪ the building's conformity to state specifications　（toもあり）
▪ The state's traffic laws were changed to bring them into conformity with the rest of the country.
(共にMerriam-Webster OnLine)

The prime minister is, in conformity with the constitution, chosen by the president. (Collins Cobuild)

put ～'s foot down = 確固たる態度をとる

Collins Cobuild English Dictionary for Advanced Learnersの定義→If someone puts their foot down, they use their authority in order to stop something happening.

He had planned to go skiing on his own in March but his wife had decided to put her foot down. (Collins Cobuild)

When my son broke his curfew for the third time, I knew it was time to put my foot down. (Merriam-Webster OnLine)

head off = 阻む

He would ask Congress to intervene and head off a strike.
He changed direction swiftly, turned into the hallway and headed her off.
(共にCollins Cobuild)

The police headed off the fleeing driver at a railroad crossing. (Dictionary.com)

fleeing は逃走・逃亡する、の意味。

a shred of = わずかの　a very small amount of something

▪ There's not a shred of evidence showing that he committed the crime.
▪ She made the accusation without a shred of proof.
(共にMerriam-Webster OnLine)

usually used in negative statements だそう。(Merriam-Webster OnLine)

down the road = in the future

Economists see higher interest rates down the road. (Dictionary.com)

▪ We don't know what the situation will be like a month/year down the road.
▪ They hope to expand the business somewhere down the road. [=at some time in the future]
(共にMerriam-Webster OnLine)

be tied up = とても忙しい　手がふさがって

I can't see you now, I'm all tied up. (Dictionary.com)

▪ She was tied up in traffic.
▪ I'd like to help but I'm a bit tied up at the moment.
(Merriam-Webster OnLine)

bawl out = どなりつける

Merriam-Webster OnLineの定義→to yell at (someone) for doing something bad or wrong

Someone in the audience bawled out `Not him again!' (Collins Cobuild)

His boss bawled him out for forgetting about the meeting. (Merriam-Webster OnLine)

saddle ～ with = ～に負わせる

The war devastated the economy and saddled the country with a huge foreign debt. (Collins Cobuild)

They were saddled with heavy expenses. (Dictionary.com)

egg on ～'s face = 面目を失う　恥をさらす

Merriam-Webster OnLineの定義 = If you have egg on your face you appear foolish, usually because something that you said would happen has not happened.

The unexpected election result left a lot of journalists with egg on their faces. (Merriam-Webster OnLine)

egg onだけだと、 （人）を扇動して～させる、の意味で、英検１級にも出題された。