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- question type Expressions and equations ×
Take these 93 questions as a practice test
- 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
- What is the value of x in the equation 6x = 9x + 13? Enter your answer in the space provided. Enter only your…
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 2 of 5
- Format Equation editor
- 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
- 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
- 6x = x – 1,680 What is the value of x in the equation shown above?
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 2 of 5
- 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
- -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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- The value of a particular car decreases at a constant rate. If the car is worth $15,000 three years after its original purchase date…
- Type Functions and slope
- NYS standards 8.F.4
- Difficulty 3 of 5
- Level Above grade 7
- 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
- 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
- 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
- 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
- On the number line above, point L (not shown) is located on line segment JK so that JL = 2/3LK. What is the position…
- Type Number line and absolute value, Linear equations
- NYS standards 7.RP.3, 7.NS.1c
- Difficulty 3 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
- 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
- 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
- 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
- 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
- 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
- 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
- A box contains 14 red marbles, 10 black marbles, and 16 white marbles. How many more white marbles need to be added to the…
- Type Probability, Linear equations
- NYS standards 6.SP.8a, 7.RP.3
- Difficulty 4 of 5
- Level Above grade 7
- For what value of w is 4w=2w-8?
- Type Linear equations
- NYS standards 8.EE.7b, 7.NS.2b
- Difficulty 1 of 5
- Format Grid-in
- 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
- 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
- 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
- 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
- Today, Tien’s age is 1/4 of Jordan’s age. In 2 years, Tien’s age will be 1/3 of Jordan’s age. How old is Jordan today?
- Type Two-variable problems
- NYS standards 8.EE.8c, 8.EE.7b
- Difficulty 4 of 5
- Level Above 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
- Suppose M=w/x, N=y/z, and w,x,y, and z do not equal 0. What is M/N in terms of w,x,y, and z?
- Type Algebraic expressions
- NYS standards 6.NS.1, 7.NS.2c
- Difficulty 2 of 5
- 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 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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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