Recognise equivalent expressions

Question 1

Are 4(x + 9) and 4x + 9 equivalent? (Hint: test x = 5.)

• A. Yes
• B. No

Question 2

Which expression is equivalent to 7y + 1 + 2y?

• A. 10y
• B. 9y + 1
• C. 14y + 1
• D. 9y² + 1

Question 3

Which expression is equivalent to 2(x + 7)?

• A. 2x + 7
• B. 2x + 9
• C. 2x + 14
• D. x + 14

Question 4

Are 3(x + 7) and 3x + 21 equivalent? (Hint: test x = 2.)

• A. Yes
• B. No

Question 5

Which expression is equivalent to y + 7 + 3y?

• A. 4y² + 7
• B. 4y + 7
• C. 11y
• D. 3y + 7

Question 6

Which expression is equivalent to 2(x + 1)?

• A. 2x + 3
• B. x + 2
• C. 2x + 1
• D. 2x + 2

Question 7

Are 6(x + 1) and 6x + 6 equivalent? (Hint: test x = 4.)

• A. Yes
• B. No

Question 8

Which expression is equivalent to y + 6 + 6y?

• A. 6y + 6
• B. 7y + 6
• C. 7y² + 6
• D. 13y

Question 9

Which expression is equivalent to 3(x + 3)?

• A. 3x + 3
• B. 3x + 9
• C. x + 9
• D. 6x

Question 10

Are 3(x + 9) and 3x + 27 equivalent? (Hint: test x = 2.)

• A. Yes
• B. No

Question 11

Which expression is equivalent to 4y + 8 + 2y?

• A. 6y + 8
• B. 8y + 8
• C. 7y + 8
• D. 14y

Question 12

Which expression is equivalent to 7(x + 9)?

• A. 7x + 63
• B. 16x
• C. 7x + 16
• D. 7x + 9

Question 13

Are 2(x + 3) and 2x + 3 equivalent? (Hint: test x = 3.)

• A. Yes
• B. No

Question 14

Which expression is equivalent to 3y + 9 + 6y?

• A. 18y + 9
• B. 10y + 9
• C. 9y + 9
• D. 9y² + 9

Question 15

Which expression is equivalent to 8(x + 9)?

• A. x + 72
• B. 8x + 72
• C. 17x
• D. 8x + 9

Question 16

Are 2(x + 8) and 2x + 8 equivalent? (Hint: test x = 4.)

• A. Yes
• B. No