Algebra and Equations Flashcards

6 cards from real IMO practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Algebra and Equations flashcards as text

If 3x + 7 = 22, what is the value of x?
Answer: 5
3x = 22 − 7 = 15, so x = 15 ÷ 3 = 5.
What is the value of 5a − 3 when a = 4?
Answer: 17
5a − 3 = 5 × 4 − 3 = 20 − 3 = 17.
Which expression is equivalent to 2(x + 5)?
Answer: 2x + 10
Using the distributive property: 2(x + 5) = 2x + 10.
If y/4 = 9, what is y?
Answer: 36
y = 9 × 4 = 36.
Simplify: 7m + 3m − 2m
Answer: 8m
7m + 3m − 2m = 10m − 2m = 8m.
If p = 3 and q = 7, what is 2p + 3q?
Answer: 27
2p + 3q = 2(3) + 3(7) = 6 + 21 = 27.

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