5th grade algebra

Question 1

The number of legs on n birds is L = 2n. How many legs do 4 birds have?

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Question 2

Which expression matches: "Add 5 and 6, then multiply by 2."

• A. 2 × (5 + 6)
• B. 5 + 6 × 2
• C. 2 × 5 + 6
• D. 2 + 5 × 6

Question 3

The perimeter of a rectangle is P = 2(l + w). Find P when l = 8 and w = 7.

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Question 4

Pattern X: start at 0, add 3. Pattern Y: start at 0, add 6. Make ordered pairs (X, Y) from matching terms. What is the 6th pair? Write it like (4, 12).

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Question 5

Pattern A starts at 0 and adds 3: 0, 3, 6, 9, 12, 15. Pattern B starts at 0 and adds 12: 0, 12, 24, 36, 48, 60. Each term in B is how many times the matching term in A?

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Question 6

Felix worked out (3 + 4) × 3 as 15. Spot the mistake. What is the right answer?

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Question 7

Which rule gives the sequence 9, 15, 21, 27, 33, …?

• A. 7n + 2
• B. 6n + 4
• C. 6n + 3
• D. 7n + 3

Question 8

(6 + 10) × 5 − 2 = ?

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Question 9

14 + 4 × 5 = ?

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Question 10

Zoe buys 7 tickets at $7 each and a programme for $7. Write and work out an expression for the total cost (in whole units).

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Question 11

(55 − 1) ÷ 6 × 5 + 5² = ?

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Question 12

Bike hire costs C = 7h + 9, where h is the number of hours. What is C when h = 2?

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Question 13

A function machine does: × 3, then + 1. What is the output when the input is 11?

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Question 14

a + b = 8, where a and b are whole numbers greater than 0. How many different pairs (a, b) are possible?

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Question 15

Inputs 6, 3, 4 give outputs 33, 21, 25. The machine multiplies by 4 and then adds a number. What number is added?

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Question 16

Two numbers add to 12 and their difference is 4. What is the larger number?

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