G6 T2 Pretest
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Grade 6 Trimester 2 Pretest 1.
Which expression can be used to find the total area of three identical square mats given that the length of one side is 10 feet?
A (10 × 10) × (10 × 10) × (10 × 10) B 103 × 103 C 3(102 + 102 ) D 3(102 )
2.
Select the false statement.
A The expression 3 × 33 + 3 has the same value as 22 × 21. B The expressions 4(92 − 10) and 2(102 ) have the same value. C The values of the expressions 4 × 32 and 2(42 ) + 4 are the same. D The value of the expression (23 × 2) + 4 is equal to 22 × 5.
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 1
3.
At the party supply store, Janet made a bouquet of 24 blue balloons and 36 green balloons. Which expression represents the number of balloons Janet would fill if she made more bouquets of the same size?
A 𝑏(24 + 36) B 24 + (𝑏 − 36) C
(24+36) 𝑏
D 𝑏(36 − 24)
4.
Select the true statement. 3(𝑓 2 + 8) + 9𝑥 − 21 A 9 and 21 are constants. B 3(𝑓 2 + 8) is the product of two factors. C The only variable in this expression is f. D 8 and 9 are coefficients in this expression.
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5.
Margie tips food servers 17% of her total bill when she eats in restaurants. Find the cost of Margie’s meal at the Green Café if her bill was $15. Use the expression 𝑚 + 0.17𝑚.
A $32.00 B $2.55 C $12.45 D $17.55
6.
Use the distributive property to find the expression equivalent to 9𝑦 + 36𝑥?
A 45𝑦𝑥 B 9 ∙ 𝑦 + 9𝑥 + 4 C 3(3𝑦 + 12𝑥) D 9 + 𝑦 + 36 + 𝑥
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7.
The expression below was evaluated incorrectly. Which step contains the first error? Given 𝑦 = 5, evaluate (2 ∙ 𝑦)2 ÷ 4 × 𝑦. (2 ∙ 𝑦)2 ÷ 4 × 𝑦 A
(2 ∙ 5)2 ÷ 4 × 5
B
(2 ∙ 25) ÷ 4 × 5
C
50 ÷ 4 × 5
D
12.5 × 5 60
8.
Which pair of expressions is equivalent?
A
5𝑦
𝑦+𝑦+𝑦+𝑦+𝑦+5
B
8(2 + 𝑐)
16 + 8𝑐
C
𝑝+𝑝+𝑝
𝑝3
D
6𝑞 + 10 2
3𝑞 + 10
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9.
Which expression is not equivalent to 8 + 4(𝑔 + 10)? A 4𝑔 + 48 B 8 + 4𝑔 + 40 C 4(𝑔 + 12) D (2𝑔 + 12) ∙ 2
10. Which value makes this equation true, if any? 𝑏 2 + 3 = 2(8 + 6) A 5 B 4 C 3 D None of these
11. Which value makes this inequality true, if any? 2𝑥 + 3 ≥ 10 + 3 A Any number less than 5 B Any number greater than or equal to 5 C Any number greater than 5 D None of these Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 5
12. Each month, the water company charges customers $9.85 for water service, $18.40 for sewer service, plus 1₵ for each gallon (𝑔) of water used. Which expression could customers use to calculate their monthly bill? A $9.85 + $18.40 + 𝑔($0.01) B $18.40 − $9.85 − 𝑔($0.01) C 𝑔($9.85 + $18.40 + $0.01) $0.01
D $9.85 + $18.40 × (
𝑔
)
13. Daily newspaper delivery service costs 𝑛₵ every day, plus an additional $2.00 on Sundays. Which expression could be used to calculate the cost of newspaper delivery for six weeks? A 6(6𝑛₵ + $2.00𝑛₵) B 6(7𝑛₵ + $2.00) C 6𝑛₵ + ($2.00 + 𝑛₵) D 6 ∙ 7𝑛₵ + $2.00
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For questions 14-15, use this real world scenario. The gas tank in Joan’s car holds a total of 17.0 gallons. It cost $45.99 to fill the tank with 12.6 gallons. 14. Identify the equation and solution that find 𝑔, the amount of gas Joan’s car had in the tank before it was filled up. A 𝑔 + 17.0 = 19.6 Joan’s gas tank had 2.6 gallons before it was filled up. B 29.6 − 𝑔 = 17.0 Joan’s gas tank had 12.6 gallons before it was filled up. C 17.0 + 12.6 = 𝑔 Joan’s gas tank had 29.6 gallons before it was filled up. D 𝑔 + 12.6 = 17.0 Joan’s gas tank had 4.4 gallons before it was filled up. 15. Identify the equation and solution that find 𝑝, the price Joan paid per gallon of gas. A 𝑝 + 12.6 = $45.99 Joan paid $33.39 per gallon. B 𝑝 ∙ 12.6 = $45.99 Joan paid $0.365 per gallon. C
D
$45.99
=𝑝 Joan paid $3.65 per gallon. 12.6
12.6 $45.99
=𝑝
Joan paid $3.65 per gallon. Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 7
16. A major concert hall in Los Angeles seats 2,442 people. So far, 1,687 tickets have been sold for an upcoming ballet performance. Which equation and statement represent the number of additional tickets (𝑡) that may be sold? A 2,442 > 1,687 An infinite number more ticket may be sold for the performance. B 1,687 + 𝑡 ≤ 2,442 The concert hall may sell between 1 and 755 additional tickets for the performance. C 2,442 > 1,687 + 𝑡 Fewer than 755 tickets may be sold for the performance. D 1,687 + 𝑡 ≥ 2,442 The concert hall can sell more than 755 additional tickets for the performance.
17.
Tom types twice as fast as Frank. Which equation represents the rate at which Frank types? 𝑡 represents the rate at which Tom types 𝑓 represents the rate at which Frank types
A 𝑓=
𝑡 2
B 𝑓𝑡 = 2 C 𝑓 = 2𝑡 D 𝑡=
𝑓 2
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18. Michael graphed the inequality that represents the situation. Is he correct? Why or why not? Jeannine read for less than 2 hours today. 2 A No, Michael is not correct. The point should be filled because the problem states that Jeannine read less than 2 hours today. This includes 2 hours. B No, Michael is not correct. The arrow should be going toward the right, not the left. The problem states that Jeannine read less than 2 hours. Numbers increase in value as they move away from zero to the left. C Yes, Michael is correct. The point at 2 should not be filled because the problem states that Jeannine read for less than 2 hours. This does not include 2 hours. D No, Michael is not correct. The left arrow from the open point at 2 cannot be infinite. Jeannine cannot read for fewer than zero hours.
19.
For every three seeds Marilyn plants, she will keep one plant. Which statement is not true? 𝑠 represents the number of seeds Marilyn plants 𝑝 represents the number of plants Marilyn will keep A If Marilyn plants 12 seeds, she will keep 3 plants. 𝑝
B An equation that represents this scenario is 𝑠 = . 3
C The independent variable is 𝑝. D The independent variable is 𝑠. Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 9
Which equation and graph represent the data in the t-chart?
10
7.5 5
2.5 0 0
B
1
2 3 time (hours)
4
0
1
2 3 distance (miles)
4
0
1
2 3 time (hours)
4
0
1
2 3 time (hours)
4
𝑡 = 2.5𝑑 10 time (hours)
distance (𝑑) (miles) 2.5 5 7.5 10
𝑑 = 2.5𝑡
C
d= distance(miles)
time (𝑡) (hours) 1 2 3 4
A
distance (miles)
Average Parade Float Speed
D
d= distance(miles)
20.
7.5 5 2.5 0
2.5 t 10 7.5 5 2.5 0
𝑡 2.5 2 1.6 1.2 0.8 0.4 0
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Grade 6 Trimester 2 Pretest 1.
Which expression can be used to find the total area of three identical square mats given that the length of one side is 10 feet?
A (10 × 10) × (10 × 10) × (10 × 10) B 103 × 103 C 3(102 + 102 ) D 3(102 )
2.
Select the false statement.
A The expression 3 × 33 + 3 has the same value as 22 × 21. B The expressions 4(92 − 10) and 2(102 ) have the same value. C The values of the expressions 4 × 32 and 2(42 ) + 4 are the same. D The value of the expression (23 × 2) + 4 is equal to 22 × 5.
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 1
3.
At the party supply store, Janet made a bouquet of 24 blue balloons and 36 green balloons. Which expression represents the number of balloons Janet would fill if she made more bouquets of the same size?
A 𝑏(24 + 36) B 24 + (𝑏 − 36) C
(24+36) 𝑏
D 𝑏(36 − 24)
4.
Select the true statement. 3(𝑓 2 + 8) + 9𝑥 − 21 A 9 and 21 are constants. B 3(𝑓 2 + 8) is the product of two factors. C The only variable in this expression is f. D 8 and 9 are coefficients in this expression.
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 2
5.
Margie tips food servers 17% of her total bill when she eats in restaurants. Find the cost of Margie’s meal at the Green Café if her bill was $15. Use the expression 𝑚 + 0.17𝑚.
A $32.00 B $2.55 C $12.45 D $17.55
6.
Use the distributive property to find the expression equivalent to 9𝑦 + 36𝑥?
A 45𝑦𝑥 B 9 ∙ 𝑦 + 9𝑥 + 4 C 3(3𝑦 + 12𝑥) D 9 + 𝑦 + 36 + 𝑥
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 3
7.
The expression below was evaluated incorrectly. Which step contains the first error? Given 𝑦 = 5, evaluate (2 ∙ 𝑦)2 ÷ 4 × 𝑦. (2 ∙ 𝑦)2 ÷ 4 × 𝑦 A
(2 ∙ 5)2 ÷ 4 × 5
B
(2 ∙ 25) ÷ 4 × 5
C
50 ÷ 4 × 5
D
12.5 × 5 60
8.
Which pair of expressions is equivalent?
A
5𝑦
𝑦+𝑦+𝑦+𝑦+𝑦+5
B
8(2 + 𝑐)
16 + 8𝑐
C
𝑝+𝑝+𝑝
𝑝3
D
6𝑞 + 10 2
3𝑞 + 10
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 4
9.
Which expression is not equivalent to 8 + 4(𝑔 + 10)? A 4𝑔 + 48 B 8 + 4𝑔 + 40 C 4(𝑔 + 12) D (2𝑔 + 12) ∙ 2
10. Which value makes this equation true, if any? 𝑏 2 + 3 = 2(8 + 6) A 5 B 4 C 3 D None of these
11. Which value makes this inequality true, if any? 2𝑥 + 3 ≥ 10 + 3 A Any number less than 5 B Any number greater than or equal to 5 C Any number greater than 5 D None of these Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 5
12. Each month, the water company charges customers $9.85 for water service, $18.40 for sewer service, plus 1₵ for each gallon (𝑔) of water used. Which expression could customers use to calculate their monthly bill? A $9.85 + $18.40 + 𝑔($0.01) B $18.40 − $9.85 − 𝑔($0.01) C 𝑔($9.85 + $18.40 + $0.01) $0.01
D $9.85 + $18.40 × (
𝑔
)
13. Daily newspaper delivery service costs 𝑛₵ every day, plus an additional $2.00 on Sundays. Which expression could be used to calculate the cost of newspaper delivery for six weeks? A 6(6𝑛₵ + $2.00𝑛₵) B 6(7𝑛₵ + $2.00) C 6𝑛₵ + ($2.00 + 𝑛₵) D 6 ∙ 7𝑛₵ + $2.00
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For questions 14-15, use this real world scenario. The gas tank in Joan’s car holds a total of 17.0 gallons. It cost $45.99 to fill the tank with 12.6 gallons. 14. Identify the equation and solution that find 𝑔, the amount of gas Joan’s car had in the tank before it was filled up. A 𝑔 + 17.0 = 19.6 Joan’s gas tank had 2.6 gallons before it was filled up. B 29.6 − 𝑔 = 17.0 Joan’s gas tank had 12.6 gallons before it was filled up. C 17.0 + 12.6 = 𝑔 Joan’s gas tank had 29.6 gallons before it was filled up. D 𝑔 + 12.6 = 17.0 Joan’s gas tank had 4.4 gallons before it was filled up. 15. Identify the equation and solution that find 𝑝, the price Joan paid per gallon of gas. A 𝑝 + 12.6 = $45.99 Joan paid $33.39 per gallon. B 𝑝 ∙ 12.6 = $45.99 Joan paid $0.365 per gallon. C
D
$45.99
=𝑝 Joan paid $3.65 per gallon. 12.6
12.6 $45.99
=𝑝
Joan paid $3.65 per gallon. Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 7
16. A major concert hall in Los Angeles seats 2,442 people. So far, 1,687 tickets have been sold for an upcoming ballet performance. Which equation and statement represent the number of additional tickets (𝑡) that may be sold? A 2,442 > 1,687 An infinite number more ticket may be sold for the performance. B 1,687 + 𝑡 ≤ 2,442 The concert hall may sell between 1 and 755 additional tickets for the performance. C 2,442 > 1,687 + 𝑡 Fewer than 755 tickets may be sold for the performance. D 1,687 + 𝑡 ≥ 2,442 The concert hall can sell more than 755 additional tickets for the performance.
17.
Tom types twice as fast as Frank. Which equation represents the rate at which Frank types? 𝑡 represents the rate at which Tom types 𝑓 represents the rate at which Frank types
A 𝑓=
𝑡 2
B 𝑓𝑡 = 2 C 𝑓 = 2𝑡 D 𝑡=
𝑓 2
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 8
18. Michael graphed the inequality that represents the situation. Is he correct? Why or why not? Jeannine read for less than 2 hours today. 2 A No, Michael is not correct. The point should be filled because the problem states that Jeannine read less than 2 hours today. This includes 2 hours. B No, Michael is not correct. The arrow should be going toward the right, not the left. The problem states that Jeannine read less than 2 hours. Numbers increase in value as they move away from zero to the left. C Yes, Michael is correct. The point at 2 should not be filled because the problem states that Jeannine read for less than 2 hours. This does not include 2 hours. D No, Michael is not correct. The left arrow from the open point at 2 cannot be infinite. Jeannine cannot read for fewer than zero hours.
19.
For every three seeds Marilyn plants, she will keep one plant. Which statement is not true? 𝑠 represents the number of seeds Marilyn plants 𝑝 represents the number of plants Marilyn will keep A If Marilyn plants 12 seeds, she will keep 3 plants. 𝑝
B An equation that represents this scenario is 𝑠 = . 3
C The independent variable is 𝑝. D The independent variable is 𝑠. Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 9
Which equation and graph represent the data in the t-chart?
10
7.5 5
2.5 0 0
B
1
2 3 time (hours)
4
0
1
2 3 distance (miles)
4
0
1
2 3 time (hours)
4
0
1
2 3 time (hours)
4
𝑡 = 2.5𝑑 10 time (hours)
distance (𝑑) (miles) 2.5 5 7.5 10
𝑑 = 2.5𝑡
C
d= distance(miles)
time (𝑡) (hours) 1 2 3 4
A
distance (miles)
Average Parade Float Speed
D
d= distance(miles)
20.
7.5 5 2.5 0
2.5 t 10 7.5 5 2.5 0
𝑡 2.5 2 1.6 1.2 0.8 0.4 0
Copyright © Swun Math Grade 6 Trimester 2 Pretest, Page 10
