AnswersSY2025-26 - 1205040 MJ Grade 7 Mathematics Sem 1 CRUnit Test

Unit Test — Cumulative exam Answers

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1
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What is the value of x in the equation ?

Question illustration
A
–22
B
–1.1
C
1.1
D
22
2
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Which property is shown in the problem below?

Question illustration
A
the associative property
B
the commutative property
C
the distributive property
D
the division property
3

What is another way to write the equation ?

Question illustration
A
7 (StartFraction x over 8 EndFraction) + three-fourths = negative 6
Option A
B
StartFraction 7 + 3 over 8 + 4 EndFraction x = negative 6
Option B
C
StartFraction 7 over 8 EndFraction + three-fourths x = negative 6
Option C
D
StartFraction 7 over 8 EndFraction x minus three-fourths = 6
Option D
4

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?

A
mc011-1.jpg
Option A
B
mc011-2.jpg
Option B
C
mc011-3.jpg
Option C
D
mc011-4.jpg
Option D
5

Which expression is equivalent to (18x + 9k) + (2x + 6k)?

A
16 x + 3 k
Option A
B
20 x + 15 k
Option B
C
20 x + 16 k
Option C
D
36 x + 54 k
Option D
6

What is the difference ?

Question illustration
A
x minus 4
Option A
B
x minus 2
Option B
C
x + 2
Option C
D
x + 4
Option D
7

Which expression represents the average of three test scores?

A
x + y + z
Option A
B
3 (x + y + z)
Option B
C
StartFraction x + y + z over 3 EndFraction
Option C
D
StartFraction x y z over 3 EndFraction
Option D
8

Nikki can drive her car 22 miles on each gallon of gasoline. If Nikki drives m miles, which expression represents the number of gallons used?

A
m minus 22
Option A
B
22 m
Option B
C
StartFraction 22 over m EndFraction
Option C
D
StartFraction m over 22 EndFraction
Option D
9

Which property is used in the problem below?

Question illustration
A
the associative property
B
the commutative property
C
the distributive property
D
the additive identity property
10

The first step to solve the equation is shown below.Which property was applied in this step?

Question illustration
A
Addition Property of Equality
B
Subtraction Property of Equality
C
Multiplication Property of Equality
D
Division Property of Equality
11

Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars?

A
0.18n
B
18n
C
StartFraction n over 18 EndFraction
Option C
D
n + 0.18
Option D
12

What is simplified?

Question illustration
A
mc010-2.jpg
Option A
B
mc010-3.jpg
Option B
C
mc010-4.jpg
Option C
D
mc010-5.jpg
Option D
13

Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?

A
7 m
Option A
B
7 + m
Option B
C
7 minus m
Option C
D
StartFraction 7 over m EndFraction
Option D
14

What is the sum ?

Question illustration
A
Three-fifths x + StartFraction 1 over 8 EndFraction
Option A
B
Three-fifths x + StartFraction 3 over 8 EndFraction
Option B
C
Three-fifths x + StartFraction 5 over 8 EndFraction
Option C
D
Three-fifths x + StartFraction 7 over 8 EndFraction
Option D
15

Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the store and bought 3 more shirts that cost $19.99 each and 4 more pairs of shorts that cost $14.99 each. Which expression represents the total amount Marissa spent?

A
StartFraction x + 3 over 19.99 EndFraction + StartFraction y + 4 over 14.99 EndFraction
Option A
B
StartFraction 3 x over 19.99 EndFraction + StartFraction 4 y over 14.99 EndFraction
Option B
C
19.99 (x + 3) + 14.99 (y + 4)
Option C
D
(3 x) 19.99 + (4 y) 14.99
Option D
16

Which equation, when solved, results in a different value of x than the other three?

A
8.3 = negative 0.6 x + 11.3
Option A
B
11.3 = 8.3 + 0.6 x
Option B
C
11.3 minus 0.6 x = 8.3
Option C
D
8.3 minus 0.6 x = 11.3
Option D
17

Jade is twice as old as Sara. If Sara is y years old, which expression represents Jade’s age?

A
y squared
Option A
B
2 y
Option B
C
y + 2
Option C
D
StartFraction y over 2 EndFraction
Option D
18

Which equations have the same value of x as ? Select three options.

Question illustration
A
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9
Option A
B
6 (StartFraction 5 over 6 EndFraction x + two-thirds) = negative 9 (6)
Option B
C
5 x + 4 = negative 54
Option C
D
5 x + 4 = negative 9
Option D
E
5 x = negative 13
Option E
F
5 x = negative 58
Option F
19

Which problem can be solved using the equation shown?

Question illustration
A
Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
B
Will bought several books that cost $2.00 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
C
Will bought several books that cost $10.50 each and received a $2.00 discount on his total bill. If he paid $2.50, how many books did he buy?
D
Will bought several books that cost $10.50 each and received a $2.50 discount on his total bill. If he paid $2.50, how many books did he buy?
20

Ella simplifies and says the result is b 5r. What error did Ella make?

Question illustration
A
Ella incorrectly combined the b coefficients. The correctly simplified expression is .
Option A
B
Ella incorrectly combined the b coefficients. The correctly simplified expression is .
Option B
C
Ella incorrectly combined the r coefficients. The correctly simplified expression is b – 5r.
D
Ella incorrectly combined the r coefficients. The correctly simplified expression is b 3r.
Option D

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