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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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1.
What is $6^1$?
1. 0
2. 1
3. 6
4. 61
2.
Which value from the number set ${3, 7, 9, 12}$ makes the inequality $q < 5$ 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 $v$, the velocity in miles per hour, of a spacecraft launching into orbit?
1. $v<25,000$
2. $v>25,000$
3. $v<=25,000$
4. $v>=25,000$
4.
Iman wrote the inequality below to represent the money, x, that she has. Which situation is correctly represented by the inequality?

$x>12$
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 ${3, 7, 9, 12}$ makes the equation $2 + p = 14$ true?
1. 3
2. 7
3. 9
4. 12
6.
Which shows the inequality for numbers greater than 80?
1. $n> 80$
2. $n>=80$
3. $n<80$
4. $n<=80$
7.
Which expression represents 4 less than twice a number, n?
1. $4 - n$
2. $n - 4$
3. $4 - 2n$
4. $2n - 4$
8.
$32 + 16y$ and $8(4 +2y)$ 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.

Which equation shows the relationship between time (t) and velocity (v)?
1. $v = 2t$
2. $t = 2v$
3. $v = t + 2$
4. $t = v + 1$
10.
Select each expression that is equivalent to $5(p + 8)$.

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

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 $a$.
4. Lucy's expression is incorrect because she used the commutative property instead of the distributive property.
13.
Let $x$ represent any number in the set ${3, 6, 7, 9}$.

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

$10 xx 10 xx 10 xx 10$
1. $4^10$
2. $4^1000$
3. $10^4$
4. $10^10$
15.
What is the value of $2^4 + 3^3$
1. 17
2. 43
3. 58
4. 125
16.
If r = 1, s = 2, and t = 3; then what is $4r+ 8/s +t^2$?
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.

Which equation shows the relationship between time (t) and position (d)?
1. $t = 6d$
2. $d = 6t$
3. $t = 6 + d$
4. $d = 6 + t$
18.
Evaluate $3^2 + 4^0$.
1. 7
2. 9
3. 10
4. 13
19.
Solve for b.

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

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