Expressions and Equations: Writing and Evaluating Algebraic Expressions (CCSS.6.EE.2)
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Common Core 6th Grade Math › Expressions and Equations: Writing and Evaluating Algebraic Expressions (CCSS.6.EE.2)
A concert charges a fee according to the expression $C = 8n + 3$, where $n$ is the number of tickets. What is the value of the expression when $n = 4$?
35
32
44
20
Explanation
Substitute $n=4$ into $C=8n+3$: $C=8(4)+3=32+3=35$. Distractors: $32$ (forgot the $+3$), $44$ (treated as $8(n+3)$), $20$ (did $8+3\cdot 4$).
A cube has volume given by $V = s^3$, where $s$ is the side length. What is the value of the expression when $s = 5$?
150
25
15
125
Explanation
Substitute $s=5$: $V=5^3=5\times 5\times 5=125$. Distractors: $150$ (used $6s^2$, surface area formula), $25$ (used $s^2$), $15$ (did $3\times 5$).
The perimeter of a rectangle is given by $P = 2l + 2w$. What is the value of the expression when $l = 8$ and $w = 5$?
34
26
21
80
Explanation
Substitute $l=8$, $w=5$: $P=2(8)+2(5)=16+10=26$. Distractors: $34$ (added an extra $8$), $21$ (only doubled $l$: $2\cdot 8+5$), $80$ (multiplied all: $2\cdot 8\cdot 5$).
A gym charges according to $C = 12 + 7c$, where $c$ is the number of classes. What is the value of the expression when $c = 4$?
23
88
40
16
Explanation
Substitute $c=4$: $C=12+7(4)=12+28=40$. Distractors: $23$ (did $12+7+4$), $88$ (did $12\cdot 7+4$), $16$ (did $7c-12$).
A movie theater charges a service fee. The cost is given by $C=3n+2$, where $n$ is the number of tickets. If $n=4$, what does the expression equal?
10
14
9
18
Explanation
Substitute $n=4$ into $C=3n+2$: $C=3(4)+2=12+2=14$.
The perimeter of a rectangle is given by $P=2l+2w$. What is the value of the expression when $l=6$ and $w=4$?
20
10
16
52
Explanation
Substitute $l=6$, $w=4$ into $P=2l+2w$: $P=2(6)+2(4)=12+8=20$.
The volume of a cube is given by $V=s^3$. What is the value of the expression when $s=3$?
9
6
81
27
Explanation
Substitute $s=3$ into $V=s^3$: $V=3^3=27$.
A school store sells pencils and erasers. The total cost in dollars is $T=5p+2q$, where $p$ is the number of pencils and $q$ is the number of erasers. What is the value of the expression when $p=2$ and $q=3$?
25
10
16
13
Explanation
Substitute $p=2$, $q=3$ into $T=5p+2q$: $T=5(2)+2(3)=10+6=16$.
A movie theater charges a booking fee, so the total cost is given by $C = 3n + 2$, where $n$ is the number of tickets. What is the value of the expression when $n = 4$?
12
9
14
18
Explanation
Substitute $n=4$ into $C=3n+2$: $C=3(4)+2=12+2=14$.
The perimeter of a rectangle is given by $P = 2l + 2w$. What is the value of the expression when $l = 7$ and $w = 5$?
24
12
19
70
Explanation
Substitute $l=7$ and $w=5$ into $P=2l+2w$: $P=2(7)+2(5)=14+10=24$.