Student
Class
Date
CCSS.Math.Content.7.EE: Expressions and Equations1068
CCSS.Math.Content.7.EE.A: Use properties of operations to generate equivalent expressions.201
- CCSS.Math.Content.7.EE.A.1: Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
3. / This expressionis used to calculate the taxes on Marta’s monthly earnings, where c represents the commission on her sales.
Which expression is equivalent?
A. /
B. /
C. /
D. /
4. / What is the simplified form of 4r + 10(2r) − 8r?
5. / Part A.
Simplify the expression below to lowest terms.
Part B.
What is the value of the expression above when
CCSS.Math.Content.7.EE.A.2: Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.
6. / Which expression is equivalent to ?
A. / 6x – 26
B. / 6x – 7
C. / 8x – 26
D. / 8x + 5
7. / A square has a side length of units. What is its perimeter in terms of
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FL-IBTP_Math_Reference_Sheet_Grade_7.pdf
A. /
B. /
C. /
D. /
8. / Mr. Hurst’s house increased in value to $185,400 one year after he bought it. The annual rate of increase was 3%. Which expression would calculate the initial value of the house?
A. / $185,400× 0.97
B. / $185,400 ÷ 0.97
C. / $185,400 × 1.03
D. / $185,400 ÷ 1.03
9.
Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks?
A. / 1.50x
B. / 1.05x
C. / 2.00x
D. / 2.05x
CCSS.Math.Content.7.EE.B: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.869
CCSS.Math.Content.7.EE.B.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.472
10. / Jack’s baseball team won 3 more games than Bob’s. If Bob’s team won between 8 and 12 games, what can you conclude about the number of games won by Jack’s team?
A. / It won between 5 and 9 games.
B. / It won between 8 and 15 games.
C. / It won between 11 and 12 games.
D. / It won between 11 and 15 games.
1.
Which expression is equivalent to the expression shown below?
A. /
B. /
C. /
D. /
13. / There are 30 students in a class.
- On the last test, half of the students earned an A, and 30% of the students earned a B.
- The rest of the students earned a C.
14. / Three days a week after school, Sarah runs 2.2 miles each day. This week, Robert ran of the total distance that Sarah ran.Also this week, Brooke ran 110% of the total distance that Sarah ran.What is the mean total distance that each person ran this week?
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FL-IBTP_Math_Reference_Sheet_Grade_7.pdf
A. / 1.308 miles
B. / 3.925 miles
C. / 5.995 miles
D. / 17.985 miles
CCSS.Math.Content.7.EE.B.4: Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.399
CCSS.Math.Content.7.EE.B.4a: Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width
16. / A bank teller has 25 more five-dollar bills than ten-dollar bills in his cash drawer. The total value of the bills is $2,000.00. If x represents the number of ten-dollar bills, which equation could be used to find the number of ten-dollar bills in the cash drawer?
A. /
B. /
C. /
D. /
18. / Solvethe equation for x.
42 + 5x = 41
17. / Manuel started with 89 empty popcorn bags one night at the movie theater. At the end
of the night he had 12 empty bags left. Which number sentence shows how to find n,
the number of bags he used that night?
A. /
B. /
C. /
D. /
CCSS.Math.Content.7.EE.B.4b: Solve word problems leading to inequalities of the
Form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph
the solution set of the inequality and interpret it in the context of the problem.
For example: As a salesperson, you are paid $50 per week plus $3 per sale. This
week you want your pay to be at least $100. Write an inequality for the number
of sales you need to make, and describe the solutions
2. A truck driver can drive no more than 8 hours in one day. He has already driven 3.5 hours. He drives
an average of 55 mile per hor. Which inequality could be used to find the distance , d, the truck driver can
travel in the remaining time?
A. / d ÷ 55 + 3.5 ≤ 8
B. / 55d + 3.5 ≤ 8
C. / d ÷ 55 − 3.5 ≤ 8
D. / 55d − 3.5 ≤ 8
15. / What are all possible values of
A. /
B. /
C. /
D. /
/
11. / If what is one possible value for m?
A. / 3
B. / 2
C. / 1
D. / 0
12. / What are all the possible values of x that satisfy
A. /
B. /
C. /
D. /
19. / The number line shows the solution to the inequality 3x−24.
Based on the number line, which symbol should be placed in the box to complete the inequality?
20. / Marisa saved $3000 to take a bike trip from Florida to California. She estimated her expenses to be $40 per day. The cost of a ticket to fly back is $240. The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.
Which inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip?
A. /
B. /
C. /
D. /
CCSS.Math.Content.7.G: Geometry1403
CCSS.Math.Content.7.G.A: Draw, construct, and describe geometrical figures and describe the relationships between them.379
- CCSS.Math.Content.7.G.A.1: Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale
26. / Maria and Isabel are planning a hike up Grey Mountain.
Which measurementis closest to the elevation in feet of the top of the mountain?
A. / 9000 feet
B. / 4500 feet
C. / 3000 feet
D. / 1500 feet
27. / A particular red oak leaf measures 6 inches from tip to stem. In a scale drawing, the red oak leaf measures 1.5 inches from tip to stem. Using the same scale, a drawing of a post oak leaf measures 0.8 inch from tip to stem. What is the actual length of the post oak leaf?
A. / 2.0 in.
B. / 3.2 in.
C. / 9.8 in.
D. / 11.3 in.
Math.Content.7.G.A.2: Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle
28. / Jared is creating a flower garden in the shape of a triangle. Which could be the dimensions of
the garden in feet?
A. / 2 by 3 by 5
B. / 3 by 7 by 9
C. / 4 by 5 by 9.5
D. / 5 by 6 by 12
CCSS.Math.Content.7.G.A.3: Describe the two-dimensional figures that result
from slicing three-dimensional figures, as in plane sections of right rectangular
prisms and right rectangular pyramids
29. / A plane intersects a cube, passing through two opposite sides of the cube and remaining parallel to one adjacent side.
What geometric shape will be formed from this intersection?
A. / circle
B. / square
C. / triangle
D. / parabola
23. / Whichtwo-dimensional figure is formed when a right rectangular pyramid is sliced by a plane through the pyramid's vertex and perpendicular to the pyramid's base?
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FL-IBTP_Math_Reference_Sheet_Grade_7.pdf
A. / a square
B. / a triangle
C. / a trapezoid
D. / a parallelogram
24. / In the diagram, what is the intersection of Planes FEK and EDJ?
A. /
B. /
C. /
D. /
25. / A trapezoidal prism is shown below.
Which polygon couldnot represent a cross section of this prism?
A. / triangle
B. / octagon
C. / rectangle
D. / trapezoid
CCSS.Math.Content.7.G.B: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.1025
- CCSS.Math.Content.7.G.B.4: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle
31. / An athlete runs around a circular track which has a diameter of 100 meters.
How far does the athletetravel with each lap around the track?
A. / 314 meters
B. / 7850 meters
C. / 314 square meters
D. / 7850 square meters
32. / Three average-sized adults stood around the base of the tree pictured below. With their arms outstretched, their fingertips barely touched one another.
Which is the best estimate for the circumference of the tree?
A. / 6 feet
B. / 10 feet
C. / 18 feet
D. / 32 feet
33. / The circumference of a circle is about 50 centimeters (cm). What is its radius? Use 3.14 for.
CCSS.Math.Content.7.G.B.5: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure
34. / In the figure below,∠PQS measures 60°.
What is the measure of∠SQT?
A. / 30°
B. / 40°
C. / 50°
D. / 60°
35. / In quadrilateral DEFG below,is parallel to
What is the measureof
A. / 75°
B. / 85°
C. / 95°
D. / 105°
CCSS.Math.Content.7.G.B.6: Solve real-world and mathematical problems
involving area, volume and surface area of two- and three-dimensional
objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms
36. / Mr. Trenton wants to increase the size of the window in one wall of his gym to allow more sunlight into the gym. The current dimensions of the window are shown below.
Which window dimension change would produce the greatest increase in the area of the window and allow the most sunlight into the gym?
A. / tripling the height
B. / multiplying the length by 3.5
C. / doubling the height and the length
D. / adding 3 feet to the height and the length
37. / A sink that is shaped like a rectangular prism holds 1.5 gallons of water. A larger sink has the same width and length, but is twice as deep. How many gallons of water does the larger sink hold?
A. / 2
B. / 3
C. / 6
D. / 12
21. / Samuel needs to find the area of the figure shown below.
Which method can Samuel use to find the area of the figure, in square units?
A. / add the product of 9 and 25 to the productof 9 and 10
B. / add the product of 10 and 10 to the product of 9 and 15
C. / subtract the product of 9 and 10 from the product of 19 and 25
D. / subtract the product of 10 and 15 from the product of 19 and 25
22. / A rectangular rug is placed on a rectangular floor. The rug’s linear dimensions areof the floor’s corresponding linear dimensions. What percentage of the floor’s area is not covered with the rug?
A. / 40%
B. / 49%
C. / 70%
D. / 91%
38. / What is the volume of the rectangular prism below?
A. / 38,832 mm³
B. / 480,000 mm³
C. / 499,200 mm³
D. / 501,120 mm³
CCSS.Math.Content.7.NS: The Number System1284
CCSS.Math.Content.7.NS.A: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.1284
CCSS.Math.Content.7.NS.A.1: Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.236
CCSS.Math.Content.7.NS.A.1a: Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged
47. / Which situation results in a final value of exactly zero?
A. / A student earned $7.50 for each of 8hours of work. He used $60 of this money to buy school supplies.
B. / The temperature outside was 15° below 0 at 7:00a.m. The temperature rose 3° in each of the next 4hours.
C. / A scuba diver descended for 2.4minutes at a rate of 30feet per minute. The diver ascended for 1.2minutes at a rate of 15feet per minute.
D. / A baker received an order to bake 120cupcakes. The baker completed the order by baking 24cupcakes every 30minutes over a period of 5hours.
48. / The level of an aquifer is recorded daily in feet. Which table shows quantities combined to
result in zero change in the aquifer level?
A. / Day / Change
1 / + 0.9
2 / – 0.3
3 / – 0.2
4 / – 0.4
/ C. / Day / Change
1 / – 0.8
2 / – 0.5
3 / – 0.3
4 / 0.0
B. / Day / Change
1 / + 1.6
2 / + 0.5
3 / – 0.7
4 / + 1.4
/ D. / Day / Change
1 / – 0.4
2 / + 0.3
3 / + 0.3
4 / + 0.2
CCSS.Math.Content.7.NS.A.1b: Understand p + q as the number located a
distance |q| from p, in the positive or negative direction depending on
whether q is positive or negative. Show that a number and its opposite
have a sum of 0 (are additive inverses). Interpret sums of rational numbers
by describing real-world contexts
49. / What is the opposite of ?
A. /
B. /
C. /
D. /
50. / What is the opposite of
A. / –9
B. /
C. /
D. /
45. / If x and y are opposites, which relationship is true?
A. /
B. /
C. /
D. /
CCSS.Math.Content.7.NS.A.1c: Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts
46. / Which method will always result in the distance between two numbers?
A. / Find the sum of the numbers.
B. / Find the difference of the numbers.
C. / Find the absolute value of the sum of the numbers.
D. / Find the absolute value of the difference of the numbers.
51. / The price of one share of a stock increased by $3 on Monday and then decreased by $4 on Tuesday. Which expression shows the change in the price of a share of the stock in two days?
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A. /
B. /
C. /
D. /
52. / What is the distance between Point A and Point B on the number line below?
A. / 4 units
B. / 5 units
C. / 9 units
D. / 13 units
CCSS.Math.Content.7.NS.A.1d: Apply properties of operations as strategies to add and subtract rational numbers
53. / What is the value of the expression ?
A. /
B. /
C. /
54. / Shelley received $20. The next day she spent $4.25 to see a movie and $8.35 on dinner. The next week she earned $7.50 after chores. How much money did Shelley have after she finished her chores?
A. / $5.10
B. / $7.40
C. / $14.90
D. / $20.10
CCSS.Math.Content.7.NS.A.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.291
CCSS.Math.Content.7.NS.A.2a: Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts
55. / Which statement is true?
A. / is equivalent tobecause
B. / is equivalent tobecause
C. / is equivalent tobecause
D. / is equivalent tobecause
57. / Which real-world problem would be solved using?
A. / A class has 3 girls for every 4 boys. The class has 9 girls. How many boys are in the class?
B. / A person walksmile each day for exercise. How many miles does the person walk in 9 days?
C. / A bag of chips is full. If 9 friends equally shared the chips, how much of the bag did each friend get?
D. / A road is 9 miles long. A company paves mile of road each day. How many days does it take the company to pave the road?
58. / The variablesx and y represent nonzero rational numbers. Which situation could be solved using the product of xy, where xy represents a negative value?
A. / the change in degrees if the temperature decreases by xdegrees per day for ydays
B. / the amount of juice Susan drinks in xdays if she drinks yfluid ounces of juice each day
C. / the depth of a scuba diver if he dives xfeet below sea level and then rises yfeet
D. / the change in the price of an item if the price is increased by xdollars one month and decreased by ydollars the next month
CCSS.Math.Content.7.NS.A.2b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then
–(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts
59. / Find the quotient.
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FL-IBTP_Math_Reference_Sheet_Grade_7.pdf
A. /
B. /
C. /
D. /
60. / Look at the division expression below.
Which of these is true about the quotient of the expression?
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A. / It is a negative, rational number with a terminating decimal.
B. / It is a negative, irrational number with a terminating decimal.
C. / It is a negative, rational number with a nonterminating decimal.
D. / It is a negative, irrational number with a nonterminating decimal.
CCSS.Math.Content.7.NS.A.2c: Apply properties of operations as strategies to multiply and divide rational numbers
61. / Which is equivalent to 99.5(50)?
A. /
B. /
C. /
D. /
62. / Kyle checked his solution to a problem by using the multiplicative inverse of 7. What value did he use to check his solution?
CCSS.Math.Content.7.NS.A.2d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats
63. / Which rational number will result in a repeating decimal?
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FL-IBTP_Math_Reference_Sheet_Grade_7.pdf
A. /
B. /
C. /
D. /
64. / Nails of various sizes are used at a construction site. A 10D common nail has a head with a diameter ofinch. Which value below is the diameter of the head of a 10D nail in decimal form?
A. / 0.0320
B. / 0.3000
C. / 0.3125
D. / 0.5160
56. / What is in decimal form?
A. /
B. /
C. /
D. /
CCSS.Math.Content.7.NS.A.3: Solve real-world and mathematical problems involving the four operations with rational numbers. Computations with rational numbers extend the rules for manipulating fractions to complex fractions
65. / Which number is equivalent to
A. / 151,555
B. / 152,005
C. / 152,055
D. / 152,505
66. / On Friday, Dennis rode his bicycle 19.4 km. On Saturday, he rode his bicycle 1.75 times as far. How far did Dennis ride on Saturday?
67. /
A. /
B. /
C. /
39. / John earns $8.75 an hour working at a music store. John earned $140
in a week. If John works 10 hours more the next week, how much
money will John make that week?