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- NYS standard 7.EE expressions, equations, and inequalities ×
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- Liam and Kevin each collect stamps. Liam has twice as many stamps as Kevin. Liam gives 8 of his stamps to Kevin. Liam now…
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 3 of 5
- Level Above grade 7
- Format Fill the blanks
- Three expressions are given: -2(2.5n + 4) 5 – n 3(2n + 7) Which of these are equivalent to the sum of these three…
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.4
- Difficulty 3 of 5
- Format Multiple response
- Complete the steps to show one way to solve the equation 24 = -0.5(x + 8) for x. Move the correct answer to each…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 3 of 5
- Format Fill the blanks
- Graph the solution set for the inequality -3 ≤ 2x – 5. Select a ray. Then, move the endpoint of the ray to the…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 3 of 5
- Format Number line
- How many positive integers satisfy the inequality x + 7 < 23? Enter your answer in the space.
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 2 of 5
- Level Below grade 7
- Format Grid-in
- Amiya subscribes to an online streaming service. She pays a onetime setup fee of $50, plus $20 per month for service. Write an equation…
- Type Linear equations
- NYS standards 7.EE.4, 6.EE.9
- Difficulty 2 of 5
- Format Equation editor
- If (8 ÷ m) + 4 = 20, what is the value of m?
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.2b
- Difficulty 2 of 5
- -12 > 6x For what values of x is the above inequality true?
- Type Inequalities
- NYS standards 7.EE.4b, 6.NS.7a
- Difficulty 2 of 5
- Level Below grade 7
- Allison has 5 stamp albums with 576 stamps in each album. If she transfers her stamp collection to 6 albums, each holding 378 stamps,…
- Type Arithmetic and order of operations
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- If z+3w/4 = 5w, what is the value of z in terms of w? Enter your answer in the space provided. Enter only your…
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- Format Equation editor
- If 4(a + 2b) = 28b + 2a, what is the value of a in terms of b? Enter your answer in the space…
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- Format Equation editor
- This formula can be used to determine p, the number of pages that will be in a book that contains w words, with an…
- Type Linear equations
- NYS standards 8.EE.7, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- In basketball, a player can earn 1 point for making a free throw and 2 points for making another basket. Marcus makes a mean…
- Type Inequalities
- NYS standards 7.EE.4b
- Difficulty 2 of 5
- Elijah is at the school bookstore. He wants to buy a water bottle for $12.50 and some notebooks that cost $4.75 each. He has…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- Format Equation editor
- What is the value of z in x/10 + y – x/5 = z/10?
- Type Linear equations
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 3 of 5
- Two sets, R and S, are described below. The sum of the elements in set R equals the sum of the elements in set…
- Type Linear equations
- NYS standards 7.EE.4, 7.NS.1c
- Difficulty 3 of 5
- 2x + 11 > 3x + 9 For what values of x is the above inequality true?
- Type Inequalities
- NYS standards 7.EE.4b, 8.EE.7b
- Difficulty 3 of 5
- In the right triangle shown above, what is the measure of the smallest angle?
- Type Angles and lines
- NYS standards 8.G.5, 7.G.5, 7.EE.4a
- Difficulty 3 of 5
- Level Above grade 7
- James must read 84 pages of a book for a class assignment. If he reads 1/4 of the pages in the morning and 1/3…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 2 of 5
- Seth grows strawberries in his garden. He picked 2 1/2 cups of strawberries on Monday. He picked 4 cups of strawberries on Tuesday. He…
- Type Fractions and decimals
- NYS standards 7.NS.3, 7.EE.3
- Difficulty 2 of 5
- Level Below grade 7
- Jordan has a budget of $120 to rent a food truck. The rental company charges $18 per hour to rent the truck, plus a…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 3 of 5
- Format Equation editor
- A team is participating in a contest to collect canned goods for a food drive. The team has 53 points and must have a…
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- A bakery charges $1.25 for each cupcake and $2.50 for a serving tray. The equation describes p, the price of c cupcakes and a…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 2 of 5
- Marcus and Isla are saving money to buy concert tickets. They decide to save the same amount each week. They already have $8 saved.…
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- A company charges $3.00 to ship a 4-pound package. The cost includes a base fee of $1.50 plus $0.50 for each pound over the…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.9
- Difficulty 3 of 5
- Format Fill the blanks
- The perimeter of square W is twice the perimeter of equilateral triangle X. What is the ratio of the length of one side of…
- Type Ratios, Area and perimeter
- NYS standards 7.RP.3, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
- Angle M and angle R are supplementary. The measure of angle R is 5 times the measure of angle M. What is the measure…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- Format Grid-in
- Mr. Chan’s lawn grows 2 1/8 inches every 2 weeks. He mows his lawn every 2 weeks and cuts off the top 1 3/4…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
- Format Grid-in
- If 2y/x – y/2x = /2x and x ≠ 0, what expression is represented by?
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 2 of 5
- Simplify: (39(x – 3)/3) + 3913
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.3
- Difficulty 2 of 5
- A truck rental company charges a one-time fee of $40 plus $1 per mile driven. Dalia rented a truck and used a coupon for…
- Type Linear equations, Percents
- NYS standards 7.EE.4a, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
- Each number in a sequence is formed by doubling the previous number and then adding 1. If the 9th number in the sequence is…
- Type Patterns and sequences
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 4 of 5
- Level Above grade 7
- A piece of wood that is 4 1/2 feet long is cut into 2 pieces of different lengths. The shorter piece has a length…
- Type Inequalities
- NYS standards 7.EE.4, 6.EE.8
- Difficulty 3 of 5
- Level Above grade 7
- F = 9/5C + 32 Yesterday in Centerville, the highest Fahrenheit temperature, F, was 86°, and the lowest was 68°. What was the difference…
- Type Linear equations
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 3 of 5
- Let x be an odd number. In terms of x, what is the sum of the two even numbers closest to x?
- Type Number properties, Algebraic expressions
- NYS standards 6.EE.2a, 7.EE.1
- Difficulty 2 of 5
- In the figure above, N is the midpoint of MQ. Which segment has length (2x – y) centimeters?
- Type Number line and absolute value, Algebraic expressions
- NYS standards 7.EE.2, 6.EE.6
- Difficulty 3 of 5
- Level Above grade 7
- On Wednesday, a baker produced 100 more loaves of bread than were produced on Tuesday. On Thursday, the baker produced 50 fewer loaves than…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- Which graph represents the solution to the inequality x + 4 ≥ 3?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 1 of 5
- Level Below grade 7
- If (3/5 – 1/2)x = 1/4 + 2/3, what is the value of x?
- Type Fractions and decimals, Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 3 of 5
- CELL PHONE SALES BY COLOR Color Percentage of Cell Phones Sold White 8k Black 30 Blue 30 – 2k Red k + 5 Total…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 3 of 5
- Carolyn walked 3 miles from her house to the library and then 2 1/2 miles farther to the grocery store. Returning home by the…
- Type Fractions and decimals
- NYS standards 7.EE.3, 7.NS.3
- Difficulty 3 of 5
- 3/5(2x+5)-2x After the expression above is simplified, what is the coefficient of x, expressed as a decimal?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2b
- Difficulty 2 of 5
- Format Grid-in
- Claire is running on a circular track. She has already run 650 meters. Each lap around the track is a distance of 120 meters.…
- Type Arithmetic and order of operations
- NYS standards 7.EE.4b, 6.NS.2
- Difficulty 3 of 5
- Which number line represents the values of x that satisfy the inequality -5≤ 1-3x≤ 4?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 4 of 5
- Level Above grade 7
- Simplify: 8x-(7+2.5x)+2
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 2 of 5
- If y=4x, what is the value of 3y+2(3y+5)-x in terms of x?
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.2c
- Difficulty 2 of 5
- Which inequality is equivalent to 6x-20
- Type Inequalities
- NYS standards 7.EE.4b, 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- Which graph represents the solution to |x+1|≥ 2?
- Type Inequalities, Number line and absolute value
- NYS standards 7.NS.1c, 7.EE.4b, 6.NS.7c
- Difficulty 4 of 5
- Level Above grade 7
- Typically, an amusement park sells 3 times as many tickets on Sunday as on any weekday, and 4 times as many tickets on Saturday…
- Type Linear equations
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 3 of 5
- Solve for x: 7x + 3 – 2(2x + 1) = 13
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- Format Grid-in
- Jamel works at a computer store. He is paid an hourly rate plus a 15% commission on all computer products he sells. Last week,…
- Type Percents, Rates and speed
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 3 of 5
- If n is an integer and 3n + 3 is an even number, which expression must also represent an even number?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 3 of 5
- Level Above grade 7
- Sheila is saving money for her summer vacation. She starts the summer with a balance of $90.00 and plans to save 15% of her…
- Type Linear equations, Percents
- NYS standards 7.EE.4a, 7.RP.3
- Difficulty 3 of 5
- Integer x is evenly divisible by 3. Which expression below is also evenly divisible by 3?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 2 of 5
- Josef and Mai divided some stamps between themselves. Josef got 60% of the stamps. If Josef received 500 more stamps than Mai, how many…
- Type Percents, Linear equations
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7
- Which graph represents the solution to -3x – 7 > -4?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 3 of 5
- Ken has k video games, and Jeff has j video games. If Ken gives 6 video games to Jeff, Ken will have twice as…
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.2a
- Difficulty 3 of 5
- Yesterday Sarah read 15% of her entire book. Today she read another 17% of the entire book. In lowest terms, what fraction of the…
- Type Percents, Fractions and decimals
- NYS standards 7.EE.3, 6.RP.3c
- Difficulty 2 of 5
- Level Below grade 7
- For what value of x is the equation x/5 – 4 = 3(4 – 2x) – 1 true?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- What is the least of four consecutive integers whose sum is 58?
- Type Number properties
- NYS standards 7.EE.4a, 6.EE.6
- Difficulty 2 of 5
- Solve the equation for x: (21)(14)x/(49)(48) = 0.875
- Type Fractions and decimals, Linear equations
- NYS standards 7.EE.3, 7.NS.2c, 6.EE.7
- Difficulty 3 of 5
- Format Grid-in
- Solve for x in terms of y if 2x + 4 = y.
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.4a
- Difficulty 2 of 5
- The perimeter of a 12-sided polygon is 100 centimeters. The length of one side is 25 centimeters. The length of another side is 35…
- Type Area and perimeter
- NYS standards 7.EE.4a
- Difficulty 2 of 5
- Each number in a sequence is 3 more than twice the number that comes just before it. If 93 is a number in the…
- Type Patterns and sequences
- NYS standards 7.EE.4a, 6.EE.2c
- Difficulty 3 of 5
- Orange juice costs $2 per gallon, and grapefruit juice costs $3 per gallon. A recent shipment of equal amounts of the two types of…
- Type Linear equations
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- Five consecutive numbers have a sum of 110. What is the least of these consecutive numbers?
- Type Number properties
- NYS standards 7.EE.4a, 7.EE.1
- Difficulty 2 of 5
- The sum of the numbers x, y, and z is 40. The ratio of x to y is 1:2, and the ratio of y…
- Which number could be the sum of 4 consecutive integers?
- Type Number properties
- NYS standards 7.EE.2, 7.EE.4a
- Difficulty 3 of 5
- If xy=30, what is the value of 10÷ x in terms of y?
- Type Algebraic expressions
- NYS standards 7.EE.2, 6.NS.1, 6.EE.7
- Difficulty 3 of 5
- Which expression is equivalent to 1/2x+7-(x-9/2)?
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 4 of 5
- Level Above grade 7
- How is 1/x-1/2x written as a single fraction? (Assume x≠ 0.)
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 2 of 5
- Angle A and angle B are complementary. If the measure of angle B is three times as great as the measure of angle A,…
- Type Angles and lines
- NYS standards 7.G.5, 7.EE.4a
- Difficulty 2 of 5
- The Barnes family and the Ramirez family each have a pizza of equal size. The first pizza is cut into 18 equal slices, and…
- Type Inequalities, Fractions and decimals
- NYS standards 7.EE.4b, 6.RP.3
- Difficulty 4 of 5
- Level Above grade 7
- The sum of two consecutive integers is −15. If 1 is added to the smaller integer and 2 is subtracted from the larger integer,…
- Type Number properties
- NYS standards 7.EE.4a, 7.NS.2a
- Difficulty 4 of 5
- Level Above grade 7
- Format Grid-in
- 7+(3n+6)-(4n+8)=
- Type Algebraic expressions
- NYS standards 7.EE.1, 7.NS.1c
- Difficulty 2 of 5
- Jenny starts a game with twice as many marbles as Keiko. Jenny gives Keiko 5 marbles, but she still has 10 more than Keiko.…
- Type Two-variable problems
- NYS standards 8.EE.8c, 7.EE.4
- Difficulty 4 of 5
- Level Above grade 7
- The perimeter of a rectangle is 510 centimeters. The ratio of the length to the width is 3:2. What are the dimensions of this…
- Type Ratios, Area and perimeter
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 3 of 5
- Which number line below shows the solution to the inequality -4< x/2< 2?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.8
- Difficulty 2 of 5
- The sum of the numbers x, y, and z is 50. The ratio of x to y is 1:4, and the ratio of y…
- Mrs. Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items,…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 2 of 5
- 2 1/5+3 3/10+4 2/5+5 1/2 What is the value of the expression shown above?
- Type Fractions and decimals
- NYS standards 7.NS.1d, 7.EE.3
- Difficulty 2 of 5
- Level Below grade 7
- The least of 5 consecutive integers is l, and the greatest is g. What is the value of l+g/2 in terms of l?
- Type Number properties, Algebraic expressions
- NYS standards 7.EE.1, 7.EE.2
- Difficulty 3 of 5
- Each week, Leon has fixed expenses of $1,250 at his furniture shop. It costs him $150 to make a chair in his shop, and…
- Type Arithmetic and order of operations
- NYS standards 7.EE.3, 6.EE.2c
- Difficulty 3 of 5
- If 4x-3y=12, what is x in terms of y?
- Type Linear equations
- NYS standards 8.EE.7b, 7.EE.1
- Difficulty 3 of 5
- Level Above grade 7
- 147-x/12=12 What is the value of x in the equation shown above?
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 1 of 5
- Format Grid-in
- M=3N=P/4=Q+5=R/7> 0 Based on the statement above, which variable has the greatest value?
- Type Linear equations
- NYS standards 7.EE.2, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
- To make party invitations, Macie could buy a package of paper for $10.50, or she could buy x individual sheets of the same paper…
- Type Inequalities
- NYS standards 7.EE.4b, 6.NS.3
- Difficulty 3 of 5
- PRICES FOR NEWSPAPER ADVERTISING Page Space Price 1/4 page $200 1/2 page $350 full page $600 The table above shows prices for newspaper advertising.…
- Type Linear equations
- NYS standards 7.EE.4a, 7.NS.3
- Difficulty 4 of 5
- Level Above grade 7
- How many positive odd numbers satisfy the inequality 3x+8≤ 92?
- Type Inequalities, Number properties
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 3 of 5
- Nicole’s age now is three times Carmen’s age. If Carmen will be 17 in two years, how old was Nicole 5 years ago?
- Type Two-variable problems
- NYS standards 7.EE.4, 6.EE.7
- Difficulty 2 of 5
- If w-1 is an odd integer, which one of the following must be an even integer?
- Type Number properties
- NYS standards 7.EE.2, 6.NS.4
- Difficulty 3 of 5
- Simplify this expression: 4(7-3x)-(5-x)
- Type Algebraic expressions
- NYS standards 7.EE.1
- Difficulty 2 of 5
- A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full.…
- Type Two-variable problems, Percents
- NYS standards 7.RP.3, 7.EE.4a
- Difficulty 4 of 5
- Level Above grade 7
- In the quarter circle above, what is y in terms of x?
- Phan chose an Internet service that charges $18.00 per month plus $0.024 per minute. Deion chose an Internet service that charges $30.00 per month…
- Type Linear equations
- NYS standards 7.EE.4a
- Difficulty 2 of 5
- Which number line below shows the solution set for 2x-2≤ y≤ 4x+10 when y=1?
- Type Inequalities
- NYS standards 7.EE.4b, 6.EE.5
- Difficulty 4 of 5
- Level Above grade 7
- At North High School, a survey asked two questions, Question A and Question B. For each question, students could answer either “yes” or “no.”…
- Type Counting and arrangements
- NYS standards 7.SP.8b, 7.EE.4
- Difficulty 5 of 5
- Level Above grade 7
- Raoul is at least 3 years older than Vahn. Which of the following inequalities gives the relationship between Raoul’s age (r) and Vahn’s age…
- Type Inequalities
- NYS standards 7.EE.4, 6.EE.8
- Difficulty 3 of 5
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