Write a product of a number and a sum
Use the distributive property to write two different expressions equal to 16. Write a product of a number and a sum.
10 + 6
2(5 + 3)
14 + 2
2(7 + 1)
Write an expression equivalent to 5(x + 2y)
5 + 10y
Which value in the set {2, 12, 24, 36} is a solution of the equation x - 24 = 12?
solution:
36
36 - 24 = 12
x. y
3. 5
4. 6
5. 7
y = x + 2
12 students enjoy playing basketball. This is 25% of the total number of students in 6th grade. Find the total number of 6th grade students.
25% x = 12
25/ 100 x = 12
1/4 x = 12
(4/1) 1/4x = 12 (4/1)
x = 48 students
Use the distributive property to write two different expressions equal to 40. Write a product of a number and a sum.
38 + 2
2(19 + 1)
30 + 10
10(3 + 1)
Write an expression equivalent to 3x - 9
3 ( x -1)
Which value in the set {4, 15, 22, 32} is a solution of the equation 2x - 5 = 39?
solution:
22
2(22) - 5
44 - 5
39
j. k
5. 15
6. 18
7. 21
k = 3j
One HiChew has 5 calories. Each bag of HiChews contains 60 HiChews
Write an equation with two variables that can be used to determine the total number of calories of the HiChews in any number of bags of HiChews. Show your work.
C = calories
b = bags
c = 120 b
Use the distributive property to write two different expressions equal to 18. Write a product of a number and a sum.
12 + 4
4 ( 3 + 1)
10 + 6
2( 5 + 3)
Write an expression equivalent to
10 x + 8 - 2x - 3
8x + 5
Which value in the set {2, 11, 18, 30} is a solution of the equation 5x + 1 = 56?
solution:
11
5(11) + 1
55 + 1
56
Write an equation
h. m
50 10
40. 8
30 6
m = h / 5
A package of sour gummies shows that each serving has 10 grams of sugar. Each bag of gummies contains 8 servings.
Write an equation with two variables that can be used to determine the number of grams of sugar, g, b bags of gummies.
Show your work.
g = 80 b
Use the distributive property to write two different expressions equal to 80. Write a product of a number and a sum.
70 + 10
10 (7 + 1)
60 + 20
20 (3 + 1)
Write an expression equivalent to
2 ( 5 + 3p + p)
2 ( 5 + 4p)
10 + 8p
Which value in the set {3, 4, 8, 10} is a solution of the equation 10x - 6 = 94
solution:
10
10 (10) - 6
100 - 6
94
Wrire an equation
x. y
2 5
3. 10
4. 17
solution:
y = x2 + 1
A video game cost $3.00 for the app. The data storage then costs $6 for each month. The expression 3 + 6 ( m -1) represents the total cost of the video game for m months.
How much will it cost to play the video game for 5 months?
3 + 6 ( m - 1)
3 + 6 ( 5 - 1)
3 + 6 (4)
3 + 24
27. It will cost $27 to play the video game for 5 months.
Use the distributive property to write two different expressions equal to 120. Write a product of a number and a sum.
100 + 20
20 ( 5 + 1)
30 + 90
30 ( 1 + 3)
Write an expression equivalent to
(x )(x) (x) + y + y + y
x3 + 3y
Which value in the set {2, 5, 7, 9} is a solution of the equation x2 + 3 = 28?
solution:
5
52 + 3
25 + 3
28
Write an equation
g. h
2. 3
4. 6
6. 8
solution:
h = 1.5 g
An Amazon gift card showed that someone added $15 on Monday, then spent $10 on Wednesday and the current balance is $60.
The equation A + 15 - 10 = 60
Find the beginning balance of the gift card.
A + 15 - 10 = 60
A + 5 = 60
- 5. -5
A = 55
The Amazon gift card started with $55.