Topic Review: Algebraic Reasoning

Quiz by Texas Education Agency

Mathematics
Texas Essential Knowledge and Skills (TEKS)

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### Measures 3 skills fromGrade 4MathematicsTexas Essential Knowledge and Skills (TEKS)

4.5.A: Algebraic Reasoning
4.5.B: Algebraic Reasoning
4.5.D: Algebraic Reasoning

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15 questions
• Q1
Madeline has 4 rolls of tape. Each roll contains 63 inches of tape. Madeline used 42 inches of tape for a project. Which diagram shows a way to find n, the number of inches of tape that Madeline has left?
#texas/14fef931-bf33-4f82-b1ae-9dd4ba97df7b/D.png
#texas/14fef931-bf33-4f82-b1ae-9dd4ba97df7b/A.png
#texas/14fef931-bf33-4f82-b1ae-9dd4ba97df7b/B.png
#texas/14fef931-bf33-4f82-b1ae-9dd4ba97df7b/C.png
60s
4.5.A: Algebraic Reasoning
• Q2
The table shows a relationship between the input numbers and the output numbers generated by a number machine. Which number machine shows the same relationship as the one shown in the table?
#texas/c579f2f2-baae-41a7-8f0e-55af6b002fd1/C.png
#texas/c579f2f2-baae-41a7-8f0e-55af6b002fd1/A.png
#texas/c579f2f2-baae-41a7-8f0e-55af6b002fd1/D.png
#texas/c579f2f2-baae-41a7-8f0e-55af6b002fd1/B.png
60s
4.5.B: Algebraic Reasoning
• Q3
The model shows a rectangular field with a length of 150 m. The perimeter of the field is 400 m. What is the width of the field in meters?
250 m
50 m
125 m
100 m
60s
4.5.D: Algebraic Reasoning
• Q4
Bonnie has a rectangular picture of her dog. Measure the length and width of the picture to the nearest inch. Which measurement is closest to the area of the picture in square inches?
24 square inches
96 square inches
15 square inches
16 square inches
60s
4.5.D: Algebraic Reasoning
• Q5
The rule +38 is used to show the relationship between the position of a number in a pattern and the value of that number. Which table shows this relationship?
#texas/bc452d0e-43c7-45d4-a812-254efe975b26/A.png
#texas/bc452d0e-43c7-45d4-a812-254efe975b26/B.png
#texas/bc452d0e-43c7-45d4-a812-254efe975b26/D.png
#texas/bc452d0e-43c7-45d4-a812-254efe975b26/C.png
60s
4.5.B: Algebraic Reasoning
• Q6
It took Ian three years to collect 25,413 aluminum cans to recycle. In the first year he collected 8,917 cans, and in the second year he collected 7,639 cans. Which equation can be used to find x, the number of cans Ian collected in the third year?
x = 25,413 + 8,917 + 7,639
x = 25,413 - 8,917 -7,639
x = 8,917 + 7,639
x = 8,917- 7,639
60s
4.5.A: Algebraic Reasoning
• Q7
Mr. Yates walks around the perimeter of a square playground every day for exercise. Each side of the playground is 29 yards long. What is the perimeter of the playground in yards? Be sure to use the correct place value.
Users enter free text
60s
4.5.D: Algebraic Reasoning
• Q8
Measure the length and width of each rectangle to the nearest centimeter. What is the difference between the perimeters of these rectangles in centimeters?
4 cm, because 16 -12 = 4
2 cm, because 8-6 = 2
1 cm, because 9-8 = 1
3 cm, because 6-3= 3
60s
4.5.D: Algebraic Reasoning
• Q9
A factory makes 400 refrigerators every day. The factory makes 125 more stoves per day than refrigerators. Which equation can be used to find x, the total number of refrigerators and stoves the factory makes in one day?
x = 400 - 125
x = 400 + 125
x = 400 + 400 + 125
x = 400 + 400 - 125
60s
4.5.A: Algebraic Reasoning
• Q10
Sebastian had a rectangular piece of paper that was 90 mm long and 50 mm wide. He cut the paper in half. What is the area of each half of the paper in square millimeters?
2,250 square millimeters
1,125 square millimeters
4,500 square millimeters
9,000 square millimeters
60s
4.5.D: Algebraic Reasoning
• Q11
Mark had 45 football cards. Josh had twice as many football cards as Mark. Josh then bought 5 more football cards. Which equation can be used to find f, the number of football cards Josh has now?
2 × 45 + 5 = f
2 + 45 + 5 = f
2 + 45 × 5 = f
2 × 45 - 5 = f
60s
4.5.A: Algebraic Reasoning
• Q12
A number pattern begins with the values shown. 8, 16, 24, 32, . . . Which table correctly represents the relationship between the position of a number in the pattern and the value of that number?
#texas/b2258d83-7fe3-44ea-b135-71bff82e8bab/A.png
#texas/b2258d83-7fe3-44ea-b135-71bff82e8bab/C.png
#texas/b2258d83-7fe3-44ea-b135-71bff82e8bab/B.png
#texas/b2258d83-7fe3-44ea-b135-71bff82e8bab/D.png
60s
4.5.B: Algebraic Reasoning
• Q13
A rug shaped like a rectangle has a width of 3 m. The length of the rug is 2 m greater than its width. What is the perimeter of the rug in meters?
15 m
10 m
16 m
8 m
60s
4.5.D: Algebraic Reasoning
• Q14
Sabra read a total of 185 pages in three days. • On the first day, she read 85 pages. • On the second and third days, she read the same number of pages. Which diagram shows a way to find p, the number of pages Sabra read on the third day?
#texas/fe0b9910-9f69-4443-9de3-6dfdbef4f658/C.png
#texas/fe0b9910-9f69-4443-9de3-6dfdbef4f658/A.png
#texas/fe0b9910-9f69-4443-9de3-6dfdbef4f658/D.png
#texas/fe0b9910-9f69-4443-9de3-6dfdbef4f658/B.png
60s
4.5.A: Algebraic Reasoning
• Q15
The table shows a relationship between the input numbers and the output numbers generated by a number machine. Which number machine shows the same relationship as the one shown in the table?
#texas/5c415038-6e6e-4c5b-9d6b-c151d577a542/A.png
#texas/5c415038-6e6e-4c5b-9d6b-c151d577a542/B.png
#texas/5c415038-6e6e-4c5b-9d6b-c151d577a542/C.png
#texas/5c415038-6e6e-4c5b-9d6b-c151d577a542/D.png
60s
4.5.B: Algebraic Reasoning

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