AnswersSY2025-26 - 1205010 MJ Grade 6 Mathematics Sem 1 CRExpressions with Unknowns

Expressions with Unknowns Answers

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1
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Which statement could the expression represent?

Question illustration
A
one point greater than the last test grade
B
the difference of Gina’s score and one
C
the total cost less one dollar
D
one minute less than Mickey’s previous time
2
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Which are correct interpretations of the expression ? Check all that apply.

Question illustration
A
5 more than a number
B
the sum of a number and 5
C
the difference of a number and 5
D
5 less than a number
E
5 is greater than a number
F
the total of a number and 5
3

Which expression can be used to represent the phrase “Lamar decreased his collection of cards by seven”?

A
x minus 7
Option A
B
7 minus x
Option B
C
x + 7
Option C
D
7 x
Option D
4

Which set of algebra tiles represents the sentence below?Luis added four shells to his collection.

A
1 box contains x and 4 boxes contain minus signs.
Option A
B
4 boxes contain x and 1 box contains a plus sign.
Option B
C
1 box contains x and 4 boxes contain a plus sign.
Option C
D
4 boxes contain x and 1 box contains a minus sign.
Option D
5

Which set of algebra tiles represents the sentence below?Jemel spent 6 fewer dollars.

A
6 boxes contain negative x and 1 box contains a plus sign.
Option A
B
1 box contains negative x and 6 boxes contain plus signs.
Option B
C
1 box contains x and 6 boxes contain minus signs.
Option C
D
6 boxes contain x and 1 box contains a minus sign.
Option D
6

Which is a correct representation of using algebra tiles?

Question illustration
A
1 box contains negative x and 2 boxes contain plus signs.
Option A
B
2 boxes contain negative x and 1 box contains a plus sign.
Option B
C
2 boxes contain x and 1 box contains a minus sign.
Option C
D
1 box contains x and 2 boxes contain a minus sign.
Option D
7

Mischa wrote, “Anderson has ten trading cards. He gives some to Desai. This describes a possible context for the expression .” Which explains the accuracy of what Mischa wrote?

Question illustration
A
It is inaccurate. Her words translate to .
Option A
B
It is inaccurate. Her words translate to .
Option B
C
It is inaccurate. Her words translate to .
Option C
D
It is accurate. Her words translate to .
Option D
8

Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebraic expression. Four students’ solutions are shown below.Alice: He had $14, then he lost (subtraction) an unknown amount (x).Bobby: He had an unknown amount of money (x) and he lost (subtraction) $14.Camila: He had $14 more than (>) the unknown amount (x) he lost.Daniel: He had $14 less than (<) the unknown amount (x) he lost.Which student’s solution is correct?

Question illustration
A
Alice
B
Bobby
C
Camila
D
Daniel
9

Which is a correct representation of using algebra tiles?

Question illustration
A
5 boxes contain x.
Option A
B
5 boxes contain plus signs.
Option B
C
5 boxes contain x and 1 box contains a plus sign.
Option C
D
5 boxes contain a plus sign and 1 box contains x.
Option D
10

Jillian was asked to translate the expression into words. She wrote “a number increased by nine.” Which best describes the accuracy of Jillian’s answer?

Question illustration
A
It is incorrect. The variable would come first in the expression “a number” (n) “increased by” (+) “nine” (9).
B
It is incorrect. The phrase “increased by” refers to the inequality symbol “greater than” (>), not addition.
C
It is correct. A number increased by nine () is the same as nine increased by a number ().
Option C
D
It is incorrect. A number increased by nine refers to a multiplication expression ().
Option D
11

Which expression models the phrase “Wally mowed two more lawns than he mowed last week”?

A
n + 2
Option A
B
n minus 2
Option B
C
2 minus n
Option C
D
2 n
Option D
12

Which set of algebra tiles represents the sentence below?Carlton earned 3 more stamps.

A
1 box contains x and 3 boxes contain plus signs.
Option A
B
1 box contains x and 3 boxes contain minus signs.
Option B
C
3 boxes contain x and 1 box contains a plus sign.
Option C
D
3 boxes contain negative x and 1 box contains a plus sign.
Option D
13

Which situations can represent the expression ? Check all that apply.

Question illustration
A
Naomi gives some of her six pencils away.
B
Sydney increased her collection of coins by six.
C
Benjamin lost six of his stickers.
D
Six servings of dinner were decreased by a number.
E
Westville has 6 fewer schools than Eastville.
F
Gabrielle decreased her 6-minute mile by an unknown amount of time.
14

Which expression can be used to represent the phrase “Maren increases the number of servings by six”?

A
n minus 6
Option A
B
6 minus n
Option B
C
n + 6
Option C
D
6 n
Option D
15

Which expression can be used to model the statement “On Wednesday, Nathaniel earned $10 less than he earned on Tuesday”?

A
n + 10
Option A
B
10 minus n
Option B
C
n minus 10
Option C
D
10 less-than n
Option D
16

Kelley writes the expression to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?

Question illustration
A
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so or are correct translations.
Option A
B
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option B
C
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option C
D
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so is the correct translation.
Option D

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