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- NYS standard 6.EE expressions, equations, and inequalities ×
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- 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
- 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
- Let b = 3, c = 4, and d = 5. Determine the value of c/dc/b + c/d. Enter your fractional answer in the…
- Type Fractions and decimals, Algebraic expressions
- NYS standards 6.EE.2c, 6.NS.1, 7.NS.2c
- Difficulty 3 of 5
- Format Equation editor
- 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
- What is the prime factorization of 756?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- A person buys a used car with a down payment of $1,200 and makes monthly payments of $275 for 3 years. What is the…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
- Maya read n pages for her English homework. Trevor read three times as many pages as Maya. Together, Maya and Trevor read 12 more…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a, 6.EE.3
- Difficulty 3 of 5
- Format Equation editor
- If x = -2, what is the value of |x + x^2 + x^3| – |x + 2x + 3x|?
- Type Algebraic expressions, Number line and absolute value
- NYS standards 7.NS.2a, 6.EE.2c, 6.NS.7c
- Difficulty 3 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 prime factorization of 3,575?
- Type Number properties
- NYS standards 6.NS.4, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- If x = 1/4, what is the value of 2/2 – x?
- Type Fractions and decimals, Algebraic expressions
- NYS standards 6.EE.2c, 6.NS.1
- Difficulty 2 of 5
- Level Below grade 7
- The cost of shipping a package is $12, plus $2 for each additional pound over 3 pounds. Which expression represents the total cost, in…
- Type Algebraic expressions
- NYS standards 6.EE.6, 6.EE.2a
- Difficulty 3 of 5
- P is the center of the circle above, and R, S, and T are points on the circle. What is the value of x?
- What is the value of -9(-4)^2 + 36(-4) + 304-4?
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 7.NS.2b, 6.EE.2c
- Difficulty 3 of 5
- 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 graph shows the relationship between the number of gallons of water, y, that has been added to a tank and the number of…
- Type Proportions and scale
- NYS standards 7.RP.2d, 6.EE.9
- Difficulty 2 of 5
- 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
- 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
- A list of consecutive integers begins with m and ends with n. If n – m = 66, how many integers are in the…
- Type Number properties
- NYS standards 7.NS.1c, 6.EE.6
- Difficulty 3 of 5
- Simplify: (39(x – 3)/3) + 3913
- Type Algebraic expressions
- NYS standards 7.EE.1, 6.EE.3
- Difficulty 2 of 5
- If n is a whole number, and 0.01 is between 1/n and 1/n + 2, what is the value of n?
- Type Fractions and decimals
- NYS standards 6.NS.7a, 6.EE.5
- Difficulty 2 of 5
- 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
- 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
- Nura made a square poster with a side length of 13 inches. Latrice made a square poster with a side length of 15 inches.…
- Type Area and perimeter
- NYS standards 6.EE.2c, 6.G.1
- Difficulty 2 of 5
- Level Below grade 7
- 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
- If 9/2x=3y/8, where x≠ 0 and y≠ 0, what is the product of x and y?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.2b
- Difficulty 3 of 5
- Level Above grade 7
- p+2r=r(p+1)+1 In the equation above, if r=2, what is the value of p?
- Type Linear equations
- NYS standards 8.EE.7b, 6.EE.2c
- Difficulty 2 of 5
- A bowl contains 12 green candies, 4 yellow candies, and some red candies. The probability of choosing a green candy at random is twice…
- Type Probability
- NYS standards 6.SP.8a, 6.EE.7
- Difficulty 4 of 5
- Level Above grade 7
- 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
- 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
- The high temperature on Monday was x° F. On Tuesday, the high temperature was 84° F, which was a 5% increase from Monday’s high…
- Suppose that w, x, y, and z are integers, none of which are zero. Under which set of conditions would the product x^2yz^3|w| always…
- Type Arithmetic and order of operations, Exponents and roots
- NYS standards 7.NS.2a, 6.EE.1, 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
- 6 – 9 ÷ |-3| + (-2)^3 × 1 1/2 What is the value of the expression shown above?
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 6.EE.2c, 6.NS.7c
- Difficulty 3 of 5
- Format Grid-in
- 3^4 + 7^4 =
- Type Exponents and roots
- NYS standards 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- 81/10 = 9/n What value of n makes the equation above true?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below grade 7
- x:35 = 20:28 For what value of x is the proportion shown above true?
- Type Proportions and scale
- NYS standards 6.RP.3, 6.EE.7
- Difficulty 1 of 5
- Level Below grade 7
- 3^2 + (-8)^2 + 2^2(3 – 8 + 2)^2 =
- Type Arithmetic and order of operations
- NYS standards 7.NS.2a, 6.EE.2c, 7.NS.1c
- Difficulty 2 of 5
- The numbers m, n, p, and q are different, and each is equal to one of the numbers 1, 2, 3, 6, or 12.…
- Type Linear equations
- NYS standards 6.EE.5, 6.EE.7
- Difficulty 3 of 5
- Level Above grade 7
- Which statement must be true if x is a whole number greater than or equal to 1?
- Type Fractions and decimals
- NYS standards 6.NS.7a, 6.EE.5
- Difficulty 3 of 5
- If m = 5 and t = -1, what is the value of 6 – 8(2 – t)/2m + 4(3 – m)?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 7.NS.3
- Difficulty 3 of 5
- 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
- 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
- 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
- m t = 72 For the equation above, what is the sum of the values of m when t = 1, when t =…
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.2c
- Difficulty 2 of 5
- Level Below grade 7
- 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
- The side length of square S is shorter than the side length of square T by 1 centimeter. The area of square S is…
- Type Area and perimeter
- NYS standards 6.G.5, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- 1 gallon = 16 cups 1 cup = 8 fluid ounces If 1 gallon = 2^x fluid ounces, what is the value of x?
- Type Unit conversion, Exponents and roots
- NYS standards 6.RP.3d, 6.EE.1
- Difficulty 2 of 5
- In a certain class, Rosa will take a total of 4 tests. She has already taken 2 of the tests and earned scores of…
- Type Mean, median, mode and range
- NYS standards 6.SP.5c, 6.EE.8
- Difficulty 4 of 5
- Level Above grade 7
- The set of possible values of m is { 5,7,9 }. What is the set of possible values of k if 2k=m+3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.5
- Difficulty 2 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
- Johan leased a car for three years. He paid a one-time fee of $1,000, and an additional $300 per month for the full three…
- Type Arithmetic and order of operations
- NYS standards 6.EE.2c, 6.RP.3d
- Difficulty 1 of 5
- Level Below grade 7
- w/x=y/z In the equation above, w,x,y, and z are positive numbers. Which of these is equal to z?
- Type Linear equations
- NYS standards 8.EE.7, 6.EE.7
- Difficulty 2 of 5
- Level Above grade 7
- If 3n is a positive even number, how many odd numbers are in the range from 3n up to and including 3n+5?
- Type Number properties
- NYS standards 6.EE.2b, 6.EE.6
- Difficulty 2 of 5
- 100(2+0.1)^2-100=
- Type Exponents and roots
- NYS standards 6.EE.1, 6.NS.3
- Difficulty 2 of 5
- Level Below grade 7
- 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 x=9 and y=-7, what is the value of x(x-2y)?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 7.NS.2a
- Difficulty 2 of 5
- 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
- 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
- If 36/y=4x, what is the value of x when y=3?
- Type Linear equations
- NYS standards 6.EE.7, 6.EE.2c
- Difficulty 1 of 5
- Level Below grade 7
- 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
- 5x^3+3x+9+1x^2 If x=10, what is the value of the expression above?
- Type Algebraic expressions
- NYS standards 6.EE.2c, 6.EE.1
- Difficulty 2 of 5
- Level Below grade 7
- What is the area of the shaded triangle shown above?
- Type Area and perimeter
- NYS standards 6.G.1, 6.EE.2a
- Difficulty 3 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
- 14/21=p/7 In the equation above, what is the value of p?
- Type Proportions and scale
- NYS standards 6.EE.7, 6.RP.3
- Difficulty 2 of 5
- Level Below 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
- There are now x cans stacked on a shelf that holds 36 cans when full. If 4 of these cans were removed, the shelf…
- Type Linear equations
- NYS standards 6.EE.7
- Difficulty 1 of 5
- Level Below grade 7
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