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This printable reviews the Common Core Mathematics Standards for the Grade 6 Expressions & Equations domain.

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Grade 6 Expressions & Equations Review (Grade 6)

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Name: Date:
1. 
What is [math]6^1[/math]?
  1. 0
  2. 1
  3. 6
  4. 61
2. 
Which value from the number set [math]{3, 7, 9, 12}[/math] makes the inequality [math]q < 5[/math] true?
  1. 3
  2. 7
  3. 9
  4. 12
3. 
For a spacecraft to be launched from Earth into orbit, it must move faster than 25,000 miles per hour. Which could be an inequality that represents [math]v[/math], the velocity in miles per hour, of a spacecraft launching into orbit?
  1. [math]v<25,000[/math]
  2. [math]v>25,000[/math]
  3. [math]v<=25,000[/math]
  4. [math]v>=25,000[/math]
4. 
Iman wrote the inequality below to represent the money, x, that she has. Which situation is correctly represented by the inequality?

[math]x>12[/math]
  1. Iman has at least $12
  2. Iman has more than $12
  3. Iman has less than $12
  4. Iman has no more than $12
5. 
Which value from the number set [math]{3, 7, 9, 12}[/math] makes the equation [math]2 + p = 14[/math] true?
  1. 3
  2. 7
  3. 9
  4. 12
6. 
Which shows the inequality for numbers greater than 80?
  1. [math]n> 80[/math]
  2. [math]n>=80[/math]
  3. [math]n<80[/math]
  4. [math]n<=80[/math]
7. 
Which expression represents 4 less than twice a number, n?
  1. [math]4 - n[/math]
  2. [math]n - 4[/math]
  3. [math]4 - 2n[/math]
  4. [math]2n - 4[/math]
8. 
[math]32 + 16y[/math] and [math]8(4 +2y)[/math] are equivalent expressions.
  1. True
  2. False
9. 
An object is accelerating. The table shows the relationship between time (t) and the velocity (v) of the object.
Data Table - Positive Acceleration
Which equation shows the relationship between time (t) and velocity (v)?
  1. [math]v = 2t[/math]
  2. [math]t = 2v[/math]
  3. [math]v = t + 2[/math]
  4. [math]t = v + 1[/math]
10. 
Select each expression that is equivalent to [math]5(p + 8)[/math].

Select ALL that apply.
  1. [math]5p + 8[/math]
  2. [math]5p + 40[/math]
  3. [math]4(p + 8) + (p + 8)[/math]
  4. [math]3p + 5 + 2p + 3[/math]
  5. [math]p + p+p+p+p+8[/math]
11. 
Find the equivalent of [math]p (q-r).[/math]
  1. [math](p)(q) - (r)[/math]
  2. [math](pq)(-r)[/math]
  3. [math](p)(q)(r)[/math]
  4. [math](p)(q) - (p)(r)[/math]
12. 
Lucy must write an equivalent expression for [math]4(a + 2)[/math]. She uses the distributive property and writes the expression [math]4a + 2[/math].

Which statement best describes Lucy's equivalent expression.
  1. Lucy's expression is correct.
  2. Lucy's expression is incorrect because she did not multiply the 2 by the 4.
  3. Lucy's expression is incorrect because she should have added the 4 and the [math]a[/math].
  4. Lucy's expression is incorrect because she used the commutative property instead of the distributive property.
13. 
Let [math]x[/math] represent any number in the set [math]{3, 6, 7, 9}[/math].

Which inequality is true for all values of [math]x[/math]?
  1. [math]x > 5[/math]
  2. [math]x < 5[/math]
  3. [math]x > 10[/math]
  4. [math]x < 10[/math]
14. 
Which shows the expression written in exponent notation?

[math]10 xx 10 xx 10 xx 10[/math]
  1. [math]4^10[/math]
  2. [math]4^1000[/math]
  3. [math]10^4[/math]
  4. [math]10^10[/math]
15. 
What is the value of [math]2^4 + 3^3[/math]
  1. 17
  2. 43
  3. 58
  4. 125
16. 
If r = 1, s = 2, and t = 3; then what is [math]4r+ 8/s +t^2[/math]?
  1. 11
  2. 17
  3. 23
  4. 29
17. 
An object moves at a constant speed. The table shows the relationship between time (t) and the position (d) of the object.
Data Table - Constant Speed
Which equation shows the relationship between time (t) and position (d)?
  1. [math]t = 6d[/math]
  2. [math]d = 6t[/math]
  3. [math]t = 6 + d[/math]
  4. [math]d = 6 + t[/math]
18. 
Evaluate [math]3^2 + 4^0[/math].
  1. 7
  2. 9
  3. 10
  4. 13
19. 
Solve for b.

[math]3b=12[/math]
  1. 4
  2. 9
  3. 15
  4. 36
20. 
If [math]x=3[/math], then what is [math]x + 4[/math]?
  1. 1
  2. 3
  3. 4
  4. 7
21. 
Which expression represents "[math]y[/math] less than one-half"?
  1. [math]y + 1/2[/math]
  2. [math]y - 1/2[/math]
  3. [math]1/2 + y[/math]
  4. [math]1/2 - y[/math]
22. 
Which of the following shows the expression below in exponent notation?

[math]2 xx 2 xx 2 xx 2 xx 2[/math]
  1. [math]2^5[/math]
  2. [math]5^2[/math]
  3. [math]10^2[/math]
  4. [math]10^5[/math]
23. 
Sam can spend no more than $10 at the store.
  1. [math]d> 10[/math]
  2. [math]d>=10[/math]
  3. [math]d<10[/math]
  4. [math]d<=10[/math]
24. 
[math]y+y+y+y[/math] is equivalent to which of the expressions below?
  1. [math]y^4[/math]
  2. [math]4y[/math]
  3. [math]4y^2[/math]
  4. [math]2y^4[/math]
25. 
Solve for the unknown. [math]x+7=15[/math]
  1. 8
  2. 5
  3. 6
  4. 7

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