G6 U4 Assessment
Name: _________________________________________ Date:________________
Grade 6 Unit 4 Assessment Expressions 1. Evaluate. 23 β 7 + 2(4 β 1) A
7
B
19
C
21
D
9
2. Simplify. 32 Β· π 2 A
6π 2
B
9π 2
C
3π 4
D
9
3. Mary made 18 fudge brownies and 16 walnut brownies. She shared them equally with her friends. Which expression represents the total number of brownies each friend received? A B C D
18 β 16 Γ· π 16+π 18
18 + π Γ· 16 16+18 π
Copyright Β© Swun Math Grade 6 Unit 4 Assessment, Page 1
4. Identify the expression that corresponds with this phrase. 3 times the sum of k and 5
A
3(k + 5)
B
k(3 + 5)
C
5(k + 3)
D
3(k β 5)
5. Identify the expression that is not equivalent to 9(π + 3)
A
9π + (9 Γ 3)
B
9π + 27
C
9π + 12
D
5π + 4π + 15 + 12
6. Evaluate. 24 Β· 52 A
160
B
80
C
400
D
200
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
For questions 7 and 8, evaluate the expressions. Use the Answer Bank to select the value of each expression. Two answers in the Answer Bank will not be used. π =5 Answer Bank 2
7. 4(3 + 2) β s
2
A 75 B 99 C 72
8. 4(s 2 + 2) β 32
D 19
9. The expression π + 0.08π can be used to find the total cost of an item with 8% sales tax. Use the expression to find the total cost of an item that costs $20.
A
$36.00
B
$1.60
C
$16.00
D
$21.60
10. Select each true statement. A
The expression 3(24 ) has a value of 24.
B
The value of the expression 4 Γ 23 is 32.
C
The expression 5(42 β 6) β 5 has a value of 45.
D
The value of the expression 4 Γ 23 + 15 is 96. Copyright Β© Swun Math Grade 6 Unit 4 Assessment
11. Apply properties of operations and select the expressions that are equivalent to 2π Γ 10. 2π Γ 10 A
2 Γ (5π + 5π)
B
2π Γ (7 + 3)
C
2(π Γ 5)
D
(2π Γ 5) + (2π Γ 5)
12. Select the true statements. π 3 + 5π + 9π₯ β 21
A
The variables in this expression are π₯, π, and π.
B
The only operations in this expression are addition and subtraction.
C
The only constant in this expression is 21.
D
The coefficients in this expression are 1, 5, 9, and 21.
13. Select the accurate expanded and standard forms of this expression. π 4 Γ 52
A
πΓπΓπΓπΓ5Γ5
B
10π 4
C
π+π+π+πΓ5+5
D
25π 4
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
14. The expression below was evaluated incorrectly. Which step contains the first error? Given π¦ = 4, evaluate (5 β 2)2 β 3 β π¦.
(5 β 2)2 β 3 β π¦ A
(5 β 2)2 β 3 β 4
B
32 β 3 β 4
C
9β3β4
D
6β4 24
15. Identify the pairs of equivalent expressions.
A
83 (8 Γ 8 Γ 8)
B
20 + 15π 5(4 + 3π)
C
(5 β 3)2 + 4π 2+π+π+π+π
D
π₯ + 2π¦ + 7π 7π + π₯ + 2π¦
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
16. Write an expression that could be used to represent this scenario. Identify any variables and what they represent, terms, coefficients, constants, and operations in your expression.
Ethan and Zachary each planted their own garden last spring. By the end of the summer, Zacharyβs garden had produced two and a half times as many pounds of tomatoes as Ethanβs garden. Zachary donated 10 pounds of his tomatoes to a local food bank and kept the rest. a. Expression:
b. Variable(s): What the variable(s) represent:
Term(s):
Coefficient(s):
Constant(s):
Operation(s): c. If Ethanβs garden produced 12 pounds of tomatoes, how many pounds of tomatoes did Zachary keep?
Answer: Copyright Β© Swun Math Grade 6 Unit 4 Assessment
Grade 6 Unit 4 Assessment Expressions 1. Evaluate. 23 β 7 + 2(4 β 1) A
7
B
19
C
21
D
9
2. Simplify. 32 Β· π 2 A
6π 2
B
9π 2
C
3π 4
D
9
3. Mary made 18 fudge brownies and 16 walnut brownies. She shared them equally with her friends. Which expression represents the total number of brownies each friend received? A B C D
18 β 16 Γ· π 16+π 18
18 + π Γ· 16 16+18 π
Copyright Β© Swun Math Grade 6 Unit 4 Assessment, Page 1
4. Identify the expression that corresponds with this phrase. 3 times the sum of k and 5
A
3(k + 5)
B
k(3 + 5)
C
5(k + 3)
D
3(k β 5)
5. Identify the expression that is not equivalent to 9(π + 3)
A
9π + (9 Γ 3)
B
9π + 27
C
9π + 12
D
5π + 4π + 15 + 12
6. Evaluate. 24 Β· 52 A
160
B
80
C
400
D
200
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
For questions 7 and 8, evaluate the expressions. Use the Answer Bank to select the value of each expression. Two answers in the Answer Bank will not be used. π =5 Answer Bank 2
7. 4(3 + 2) β s
2
A 75 B 99 C 72
8. 4(s 2 + 2) β 32
D 19
9. The expression π + 0.08π can be used to find the total cost of an item with 8% sales tax. Use the expression to find the total cost of an item that costs $20.
A
$36.00
B
$1.60
C
$16.00
D
$21.60
10. Select each true statement. A
The expression 3(24 ) has a value of 24.
B
The value of the expression 4 Γ 23 is 32.
C
The expression 5(42 β 6) β 5 has a value of 45.
D
The value of the expression 4 Γ 23 + 15 is 96. Copyright Β© Swun Math Grade 6 Unit 4 Assessment
11. Apply properties of operations and select the expressions that are equivalent to 2π Γ 10. 2π Γ 10 A
2 Γ (5π + 5π)
B
2π Γ (7 + 3)
C
2(π Γ 5)
D
(2π Γ 5) + (2π Γ 5)
12. Select the true statements. π 3 + 5π + 9π₯ β 21
A
The variables in this expression are π₯, π, and π.
B
The only operations in this expression are addition and subtraction.
C
The only constant in this expression is 21.
D
The coefficients in this expression are 1, 5, 9, and 21.
13. Select the accurate expanded and standard forms of this expression. π 4 Γ 52
A
πΓπΓπΓπΓ5Γ5
B
10π 4
C
π+π+π+πΓ5+5
D
25π 4
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
14. The expression below was evaluated incorrectly. Which step contains the first error? Given π¦ = 4, evaluate (5 β 2)2 β 3 β π¦.
(5 β 2)2 β 3 β π¦ A
(5 β 2)2 β 3 β 4
B
32 β 3 β 4
C
9β3β4
D
6β4 24
15. Identify the pairs of equivalent expressions.
A
83 (8 Γ 8 Γ 8)
B
20 + 15π 5(4 + 3π)
C
(5 β 3)2 + 4π 2+π+π+π+π
D
π₯ + 2π¦ + 7π 7π + π₯ + 2π¦
Copyright Β© Swun Math Grade 6 Unit 4 Assessment
16. Write an expression that could be used to represent this scenario. Identify any variables and what they represent, terms, coefficients, constants, and operations in your expression.
Ethan and Zachary each planted their own garden last spring. By the end of the summer, Zacharyβs garden had produced two and a half times as many pounds of tomatoes as Ethanβs garden. Zachary donated 10 pounds of his tomatoes to a local food bank and kept the rest. a. Expression:
b. Variable(s): What the variable(s) represent:
Term(s):
Coefficient(s):
Constant(s):
Operation(s): c. If Ethanβs garden produced 12 pounds of tomatoes, how many pounds of tomatoes did Zachary keep?
Answer: Copyright Β© Swun Math Grade 6 Unit 4 Assessment
