Positive/Negative rea-world problems
Jacob was at the lake with his family and, being a boy, obviously started playing with rocks. He threw a rock 44 feet into the air, and when it came down, it landed 15 feet below the surface of the lake. What was the total distance the rock fell from its highest point?
What is 59 ft.
The sum of 3 and the product of 12 and a number.
What is 3 + 12x.
Select an expression that is equivalent to 8m. A) m • m • m • m + 4 B) 3m + 5m C) m • m • m • m • m • m • m • m D) m(8 + 1)
What is 3m + 5m?
h/3 = 7
What is 21?
Which expression is equivalent to 3(x + 5) using the distributive property?
A. 3x + 5
B. 8x
C. 3x + 8
D. 3x + 15
What is 3x + 15?
The cost of a museum ticket is y dollars. If 5 friends buy tickets and share one $8 snack, which expression represents their total cost?
A. 5y + 8
B. 5(y + 8)
C. y + 8
D. 5y + 40
What is 5y + 8?
Joseph is on the football team. In yesterday’s game he ran for a 5 yard gain. On the next play, unfortunately, he was tackled behind the line of scrimmage for a 6 yard loss. Then, on the very next play he ran for a 12 yard gain. What was Joseph’s overall loss or gain?
What is an 11-yard gain?
A number to the third power, decreased by 2
x^3 - 2
Which expression is equivalent to 7y - 14?
A. 7(y - 2)
B. y3 + y4 - 14
C. 4 + 10 - y • y • y • y • y • y • y
D. 5y + 2y - 6 + 8
What is 7(y - 2)?
Which operation should be used to find the solution to the following equation: 3x = 15
Divide each side by 3.
Multiply each side by 3.
Divide each side by 15.
Multiply each side by 15.
What is, Divide each side by 3?
Which expression uses the Distributive Property? a) 4 + 5 = 5 + 4 b) 3(2 + 𝑦) = 3 ⋅ 2 + 3𝑦 c) (2 + 3) + 4 = 2 + (3 + 4)
What is 3(2 + 𝑦) = 3 ⋅ 2 + 3𝑦?
Maria had some stickers. Her friend gave her 7 more. Now she has 20 stickers. Which equation helps find how many stickers Maria had at first?
A. y + 20 = 7
B. y - 7 = 20
C. y + 7= 20
D. 20 - y = 7
What is y + 7= 20?
Cassidy was on a diving board, ready to dive into a pool. The diving board is 12 feet above the surface of the water. When she bounced on it, she jumped 4 feet up before diving into the water. When she entered the water, she went 14 feet below the surface. What was the distance between Cassidy’s highest and lowest points?
What is 30 feet
The quotient of thirty and the product of ten times a number.
What is 30/10x
Which expression is equivalent to 5(6a – 3b)
A. 11a + 8b
B. 30a + 15b
C. 30a - 15b
D. 30a + 8b
What is 30a - 15b?
Libby read 9 books on her summer reading list. There are 17 books in all on the reading list. How many more books does Libby have to read? Write a one-step, algebraic equation and solve it.
A. x =17
B. x =8
C. x =9
D. x =26
What is x =8?
Which expression is equivalent to (6 + x) + 8 using the associative property?
a. 6 + x + 8
b. 8 + (6 + x)
c. 6 + (x + 8)
d. (x + 6) + 8
What is 6 + (x + 8)?
The expression 3x + 2 represents a number pattern. If x can be any whole number from 1 to 5, which value below is NOT possible?
A. 8
B. 11
C. 14
D. 18
What is 18?
Kendra’s apartment is on the 14th floor of her building. Her parking space is located in the basement, two floors below the first level. When Kendra rides the elevator from her parking level to her apartment level, how many levels up is she riding?
What is 16 levels?
Select the correct algebraic expression to represent “the sum of 19 and the product of 7 and a number.” Also, identify the coefficient in the expression.
a. 19 + 7n; coefficient is 7 . b. 19 + 7n; coefficient is 19. c. 19 - 7n; coefficient is n. d. 19 + ; coefficient is 19.
What is 19 + 7n; the coefficient is 7.
Which expression is equivalent to 8(2x + 2y)?
a. x + 16y b. 16x + 16y c. 8 + 2xy d. 10xy
What is 16x + 16y?
Joey mowed 6 yards this month. There are 17 yards total that need to be mowed in his neighborhood. How many more yards does Joey have to mow? Write an equation and solve.
What is x+6=17, x=11?
Using the commutative property, which expression is equivalent to 7x + 3y?
a. 3y−7x
b. 7x−3y
c. 3y+7x
d. 21xy
What is 3y+7x?
A family of 4 orders sandwiches for y dollars each and drinks for $3 each. If everyone gets one sandwich and one drink, which expression shows their total bill?
A. 4y + 3
B. 4(y + 3)
C. y + 12
D. 4y + 12
What is 4(y + 3)
One winter night, the temperature was 43 degrees Fahrenheit. Overnight, the temperature fell another 10 degrees, and by morning, it had risen 5 degrees. What was the temperature in the morning?
What is 38 degrees.
Morgan bought 2 magazines and 4 erasers. The magazines cost $5 each, and the erasers cost $2 each. Use the following expression to find the total cost: 2m + 4e
What is 2m + 4e 2(5) + 4(z) 10 + 8 $18 total
Which of the following equations is true?
4w + 5 = 2(2w + 5)
7(3 + x) = 23x
7(3 + y) = 7y + 21
3z2 + 2z + 4z + 9 = 9z +9
What is 7(3 + y) = 7y + 21?
9 friends share a bag of candy. There are 63 pieces of candy in the bag. If the friends share the candy equally, how many pieces of candy does each friend get? Write an equation and solve?
What is 9x=63, x=7
Which expression is equivalent to (15 + y) + 2 using the associative property?
a. 15 + y + 2
b. (y + 15) + 2
c. 2 + (15 + y)
d. 15 + (y + 2)
What is 15 + (y + 2)?
In a science experiment, a bug moves forward 3 centimeters each day and backward 2 centimeters each night. If d is days forward and n is nights backward, which expression represents the total movement?
A. 3d + 2n
B. 3(d - n)
C. 3d - 2n
D. 5(d + n)
What is 3d - 2n?