Extra Set

Grade 6 · Unit 5 · MIA · Version A · 1AD4

Mixed set · Unit 5

Name ________________

Date ________________

Period ________________

1.
Which expression is equivalent to 5(x + 7) + 6?
Answer. 5x + 41
Distribute: 5x + 35. Then add 6: 5x + 41.
2.
Is x = 12 a solution of 2x = 18?
Answer. no
2(12) = 24, which does not equal 18.
3.
Solve 3x + 1 = 28.
Answer. x = 9
Subtract 1: 3x = 27. Divide by 3: x = 9.
4.
The rule is y = 2x + 1. What is y when x = 7?
Answer. 15
y = 2(7) + 1 = 14 + 1 = 15.
5.
Which expression is equivalent to 7(x + 5) + 9? Then Jonah needs 5 of that amount. What is the total they need?
Answer. 35x + 44
Distribute: 7x + 35. Then add 9: 7x + 44. Then multiply by 5: 35x + 44.
6.
Is x = 11 a solution of 2x = 22? Write a complete answer — Theo will compare with a partner.
Answer. yes
2(11) = 22, which equals 22.
7.
Grace’s tickets cost $4 each and the total is $24. How many tickets did Grace buy? Then Grace gives 1 away. How many are left?
Answer. 5
4x = 24 → x = 6 tickets. After giving 1 away: 5.
8.
The rule is y = 6x + 4. What is y when x = 4? Then Mei needs 2 of that amount. What is the total they need?
Answer. 56
y = 6(4) + 4 = 24 + 4 = 28. Then multiply by 2: 56.
9.
Which expression is equivalent to 4(x + 6) + 8? Then Mei needs 2 of that amount. What is the total they need?
Answer. 8x + 32
Distribute: 4x + 24. Then add 8: 4x + 32. Then multiply by 2: 8x + 32.
10.
Is x = 3 a solution of 4x = 12? Write a complete answer — Nora will compare with a partner.
Answer. yes
4(3) = 12, which equals 12.
11.
Think
Sam solved x + 13 = 18 by adding 13 to 18 and got 31. What is x?
Answer. x = 5
Undo addition with subtraction: x = 18 − 13 = 5.
12.
Think
Luis tried this problem:
The rule is y = 3x + 3. What is y when x = 6?
Luis wrote 42. That is not correct. What is the right answer?
Answer. 21
Luis’s answer 42 is off. y = 3(6) + 3 = 18 + 3 = 21.

Original extra practice. Keys are computed from the items, not guessed.

MIA · Mixed set · Unit 5