G7 U4 Assessment
Name__________________________________ Date_______________
Grade 7 Unit 4 1. Cora is preparing some snacks for a hike with her sisters. She 5 1 purchases 5 pounds of trail mix at a local market. She packs 2 6 3 pounds of trail mix for the hike. How many pounds of trail mix does Cora have left? 1
A. 3 pounds 3
1
B. 3 pounds 2
6
C. 7 pounds 9
5
D. 7 pounds 8
2. Solve. Find the answer in its simplest form. 4
A. 6
1 4 ∙2 6 9
5 15
B. 8
4 54
C. 10
5 27
D. None of the above. Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 1
3. Consider the following expression: 5 9 1 3 2 6
Which of the following statements are true? A. One step you can take is to write the mixed numbers as improper fractions. B. One step you can take is to change both improper fractions to their reciprocals. 55 C. The solution to the expression is 1 . 63 D. You do not need to change the division sign to a multiplication sign to solve the expression.
4. Solve. Find the answer in simplest form. 4
A. −3 B. 3
3 1 + (−1 ) 8 4
1 8
1 2
C. 5
1
D. 3
1
3
8
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 2
6
5. Priscilla has 6 yards of ribbon. A local craft store is having a sale on 7
1
ribbon so she buys an additional 4 yards of ribbon. She later uses 4
5
3 yards of ribbon for bows she makes with her mom. 6
Which of the following expressions best represents the scenario? 5
6
1
6
7
4
6
1
5
7
4
6
6
1
5
7
4
6
5
6
1
6
7
4
A. 3 − 6 + 4 B. 6 + 4 − 3 C. 6 − 4 + 3 D. 3 + 6 + 4
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 3
6. Analyze the following work:
5 6 2 2 3 8
5
2
6
3
Step 1: 8 ÷ 2 Step 2:
53
Step 3:
6
÷
6
∙
8 3
3
53 8
Step 4:
159 48
Which step is incorrect in the work? A. Step 1 B. Step 2 C. Step 3 D. Step 4 3
7. Sarah runs 3 miles every morning Monday through Friday. How 4 many miles does Sarah run total during the month? 3
A. 18 miles 4 B. 15 miles C. 75 miles 3 D. 60 miles 4
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 4
8. Analyze the following expression: 7 1 2 3
Which scenario best represents the expression? 1
A. Tommy has 2 pounds of strawberries. She needs to place them 3 evenly in 7 baskets. B. Mark and Cindy made 7 batches of cookies for a party. They 1 have trays that can each hold 2 batches of cookies. 3 C. Katrina buys 7 feet of yarn at her local craft store. To make a 1 blanket she needs to buy 2 times as many feet of yarn to have 3 enough. D. None of the above. 1
9. The temperature in Juno, Alaska in the morning was −5 ℉. By 2
2
noon the temperature increased 1 ℉. And then by evening the 3
5
temperature dropped 2 ℉. What was the temperature in Juno, 5 Alaska by evening? A. −6
7 10
℉
1
B. −6 ℉ 2
C. 7 ℉ D. 6
7 10
℉ Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 5
10. Georgia is making a glaze for some cakes she baked. In her pantry 4 she has of a cup of sugar. To make enough glaze, she will need 5
3
2 times more sugar than she already has. How many cups of 4 sugar does she need to make enough glaze for her cakes? A. 3
1 20
cups
3
B. 2 cups 5
C. 2
1 5
cups
D. None of the above. 11. Match each expression to the correct answer. −7 − 4 = ☐ 1
1
6
9
9 ÷4 =☐ 1
1
4
8
5 +3 =☐
3
6
1
7
3
7 10
∙ (−6 ) =☐
_________
_________
_________
2 5
_________
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 6
A. −23
B. 9
C. 2
17 25
4 21
8 33
D. −11
5 18
12. Mark each statement as true or false. 7 2
14 2
8 5
8
A. −2 ∙ can be re-written as −
∙ to solve 5
2
1
10
3
5
15
1
2
4
4
9
25 20
B. 5 + 1 can be re-written as 5 C. 6 ÷ 2 can be re-written as
∙
+1 9
2
1
8
7
4
28
D. 4 − 2 can be re-written as 4
3 15
to solve.
to solve.
−2
7 28
to solve.
13. Check if each statement is correct. A. To add or subtract two fractions you need to first find a common denominator.
Y
N
B. To multiply two mixed fractions you first multiply the whole numbers and then multiply the fractions.
Y
N
Y
N
Y
N
C. An improper fraction is the simplified form of a fraction. D. To divide two fractions you need to change the division sign to a multiplication sign and multiply the first fraction by the reciprocal of the second. Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 7
T
F
T
F
T
F
T
F
14. Draw a line to connect the boxes that represent equal fractions. 1
2
8
3
A. +
+
1
C. +
4
3
6
4
4
2
5
3
B.
2 15
D. +
M.
N.
2
O.
P.
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 8
16 24
12 15
3 24 4 30
+
18
+
10
+
16
+
15
24
15
24
30
15. Use each of the figures below to create the correct model that will represent each of the expressions.
j
A.
B.
4 6 2 6
=8
5 6 1 6
= 11
2
1
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 9
16. Heather is making a snack mix to share during break time at her 2 1 job. She purchases 1 pounds of pretzels, and adds pound of 5 4 peanuts. How many pounds of snack mix does she make total? A. Write an expression that represents the problem. Answer: ___________________ B. In the table below show how to solve this problem by using a number line and an area model. Show your work in detailed and organized steps. Number Line:
Area Model:
Answer: __________________ Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 10
Grade 7 Unit 4 1. Cora is preparing some snacks for a hike with her sisters. She 5 1 purchases 5 pounds of trail mix at a local market. She packs 2 6 3 pounds of trail mix for the hike. How many pounds of trail mix does Cora have left? 1
A. 3 pounds 3
1
B. 3 pounds 2
6
C. 7 pounds 9
5
D. 7 pounds 8
2. Solve. Find the answer in its simplest form. 4
A. 6
1 4 ∙2 6 9
5 15
B. 8
4 54
C. 10
5 27
D. None of the above. Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 1
3. Consider the following expression: 5 9 1 3 2 6
Which of the following statements are true? A. One step you can take is to write the mixed numbers as improper fractions. B. One step you can take is to change both improper fractions to their reciprocals. 55 C. The solution to the expression is 1 . 63 D. You do not need to change the division sign to a multiplication sign to solve the expression.
4. Solve. Find the answer in simplest form. 4
A. −3 B. 3
3 1 + (−1 ) 8 4
1 8
1 2
C. 5
1
D. 3
1
3
8
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 2
6
5. Priscilla has 6 yards of ribbon. A local craft store is having a sale on 7
1
ribbon so she buys an additional 4 yards of ribbon. She later uses 4
5
3 yards of ribbon for bows she makes with her mom. 6
Which of the following expressions best represents the scenario? 5
6
1
6
7
4
6
1
5
7
4
6
6
1
5
7
4
6
5
6
1
6
7
4
A. 3 − 6 + 4 B. 6 + 4 − 3 C. 6 − 4 + 3 D. 3 + 6 + 4
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 3
6. Analyze the following work:
5 6 2 2 3 8
5
2
6
3
Step 1: 8 ÷ 2 Step 2:
53
Step 3:
6
÷
6
∙
8 3
3
53 8
Step 4:
159 48
Which step is incorrect in the work? A. Step 1 B. Step 2 C. Step 3 D. Step 4 3
7. Sarah runs 3 miles every morning Monday through Friday. How 4 many miles does Sarah run total during the month? 3
A. 18 miles 4 B. 15 miles C. 75 miles 3 D. 60 miles 4
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 4
8. Analyze the following expression: 7 1 2 3
Which scenario best represents the expression? 1
A. Tommy has 2 pounds of strawberries. She needs to place them 3 evenly in 7 baskets. B. Mark and Cindy made 7 batches of cookies for a party. They 1 have trays that can each hold 2 batches of cookies. 3 C. Katrina buys 7 feet of yarn at her local craft store. To make a 1 blanket she needs to buy 2 times as many feet of yarn to have 3 enough. D. None of the above. 1
9. The temperature in Juno, Alaska in the morning was −5 ℉. By 2
2
noon the temperature increased 1 ℉. And then by evening the 3
5
temperature dropped 2 ℉. What was the temperature in Juno, 5 Alaska by evening? A. −6
7 10
℉
1
B. −6 ℉ 2
C. 7 ℉ D. 6
7 10
℉ Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 5
10. Georgia is making a glaze for some cakes she baked. In her pantry 4 she has of a cup of sugar. To make enough glaze, she will need 5
3
2 times more sugar than she already has. How many cups of 4 sugar does she need to make enough glaze for her cakes? A. 3
1 20
cups
3
B. 2 cups 5
C. 2
1 5
cups
D. None of the above. 11. Match each expression to the correct answer. −7 − 4 = ☐ 1
1
6
9
9 ÷4 =☐ 1
1
4
8
5 +3 =☐
3
6
1
7
3
7 10
∙ (−6 ) =☐
_________
_________
_________
2 5
_________
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 6
A. −23
B. 9
C. 2
17 25
4 21
8 33
D. −11
5 18
12. Mark each statement as true or false. 7 2
14 2
8 5
8
A. −2 ∙ can be re-written as −
∙ to solve 5
2
1
10
3
5
15
1
2
4
4
9
25 20
B. 5 + 1 can be re-written as 5 C. 6 ÷ 2 can be re-written as
∙
+1 9
2
1
8
7
4
28
D. 4 − 2 can be re-written as 4
3 15
to solve.
to solve.
−2
7 28
to solve.
13. Check if each statement is correct. A. To add or subtract two fractions you need to first find a common denominator.
Y
N
B. To multiply two mixed fractions you first multiply the whole numbers and then multiply the fractions.
Y
N
Y
N
Y
N
C. An improper fraction is the simplified form of a fraction. D. To divide two fractions you need to change the division sign to a multiplication sign and multiply the first fraction by the reciprocal of the second. Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 7
T
F
T
F
T
F
T
F
14. Draw a line to connect the boxes that represent equal fractions. 1
2
8
3
A. +
+
1
C. +
4
3
6
4
4
2
5
3
B.
2 15
D. +
M.
N.
2
O.
P.
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 8
16 24
12 15
3 24 4 30
+
18
+
10
+
16
+
15
24
15
24
30
15. Use each of the figures below to create the correct model that will represent each of the expressions.
j
A.
B.
4 6 2 6
=8
5 6 1 6
= 11
2
1
Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 9
16. Heather is making a snack mix to share during break time at her 2 1 job. She purchases 1 pounds of pretzels, and adds pound of 5 4 peanuts. How many pounds of snack mix does she make total? A. Write an expression that represents the problem. Answer: ___________________ B. In the table below show how to solve this problem by using a number line and an area model. Show your work in detailed and organized steps. Number Line:
Area Model:
Answer: __________________ Copyright © Swun Math Grade 7 Unit 4 Assessment, Page 10
