Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART A
Which of the following sequences of steps can be used to find the cost of each frozen meal?
A/ Multiply 9 by 2, then subtract the result from 22.
B/ Subtract 9 from 22, then divide by 2
C/ Divide 22 by 2, then subtract 9
D/ Subtract 9 from 22, then subtract 2
B/ Subtract 9 from 22, then divide by 2.
Aniyah goes to the store and spends $22. She spends $9 on paper towels and she buys 2 frozen meals that have the same cost.
PART B
Which of the following shows the algebraic steps used to write and solve an equation to determine the cost of each frozen meal?
A. 2 (x + 9) = 22
2(x+9)/2 = 22/2
x + 9 = 11
-9 = -9
x = 2
B. 2x + 9 = 22
2x/2 + 9 = 22/2
x + 9 = 11
-9 = -9
x = 2
C. 2x + 9 = 22
-9 = -9
2x = 13
2x/2 = 13/2
x = 6.5
D. 2x + 9 = 22
-9 = -9
2x = 13
-2 = -2
x = 11
PART A
The top of a table has dimensions 2 ft
by x+3 ft
and has an area of 8 ft2
.
Which of the following equations can be used to find the value of x
for this situation?
To find the value of x, we can use the equation for the area of a rectangle:
Area = length * width
Given that the length is 2 ft and the width is (x+3) ft, we can write the equation as:
2 * (x+3) = 8
Simplifying the equation, we get:
2x + 6 = 8
or
2x = 2
Dividing both sides by 2, we get:
x = 1
So the equation that can be used to find the value of x is:
2 * (x+3) = 8
solve for x
To solve for x, we can start with the equation:
2 * (x+3) = 8
First, distribute the 2 to both terms inside the parentheses:
2x + 6 = 8
Next, subtract 6 from both sides of the equation:
2x = 2
Finally, divide both sides of the equation by 2:
x = 1
So the solution is x = 1.
Amari went to the mall and spent $47
. He bought one shirt for $26
and he bought 3 pairs of socks. Each pair of socks cost the same amount of money.
PART A
Write an equation that can be used to find the cost of each pair of socks. Use x
to represent the cost of each pair of socks.
Let's denote the cost of each pair of socks as x. Since Amari bought 3 pairs of socks, the total cost of the socks would be 3x.
The equation can be written as:
Cost of shirt + Cost of socks = Total spent
$26 + 3x = $47
cost of each sock?
To find the cost of each sock, we can start with the equation we previously wrote:
$26 + 3x = $47
Subtract $26 from both sides of the equation:
3x = $47 - $26
Simplifying the right side, we get:
3x = $21
Now, divide both sides of the equation by 3:
x = $21 / 3
Simplifying the division, we find:
x = $7
Therefore, the cost of each pair of socks is $7.