Unit 2 post assessment
Transcript of Unit 2 post assessment
Unit 2 Post Assessment
Missed Problems
Question 1
Solve for x: 3x = 30
3x = 30
3x/3 = 30/3
x = 10
Multiplication is the operation being performed on the variable (x) so we need to undo multiplication by dividing each side of the equation by 3.
Check your equation!
3(10)
30
Question 2
Solve for a: -2a = 16
-2a = 16
-2a/-2 = 16/-2
a = -8
Multiplication is the operation being performed on the variable (a) so we need to undo multiplication by dividing each side of the equation by -2.
Check your equation!
-2(-8)
16
Question 5
Solve for d: d – 12 = 10
d – 12 = 10
d – 12 + 12 = 10 + 12
d = 22
Subtraction is the operation being performed on the variable (d) so we need to undo subtraction by adding each side of the equation by 12
Check your equation!
22 – 12
10
Question 6
Solve for f: f – 1.5 = 3.5
f – 1.5 = 3.5
f – 1.5 + 1.5 = 3.5 + 1.5
f = 5
Subtraction is the operation being performed on the variable (f) so we need to undo subtraction by adding each side of the equation by 1.5
Check your equation!
5 – 1.5
3.5
Question 7
Solve for t: 3 + t = 17
3 + t = 17
3 + t – 3 = 17 – 3
t = 14
Addition is the operation being performed on the variable (t) so we need to undo addition by subtracting each side of the equation by 3.
Check your equation!
3 + 14
17
Question 9
Solve for l: s = l + w
s = l + w
s – w = l + w – w
s – w = l
Addition is the operation being performed between l and w so we need to subtract w to the other side to get l alone.
Question 11Tenisha is twice as tall as her little brother. If Tenisha is 60 inches
tall, how old is her little brother?
Brother’s height is ½ of Tenisha’s
60/2 is 30 so Tenisha’s little brother is 30 inches tall.
Question 12
You and Michael have a total of $19.75. If Michael has $8.25, how much money do you have.
You + Michael = $19.75
You + $8.25 = $19.75
Subtract $8.25 on each side.
You = $11.50
Question 13
Solve for x: 7x – 10 = 10
7x – 10 = 10
7x – 10 + 10 = 10 + 10
7x = 20
7x/7 = 20/7
x = 20/7
This is a two-step equation. We are multiplying 7 to the variable and subtraction 10 so we need to undo these two operations.
Step 1: Undo subtraction by adding
Add 10 to each side
Step 2: Undo multiplication by dividing
Divide by 7 on each side.
Question 14
At the grocery store you purchase 2 gallons of milk and loaf of bread. You spent a total of $8. If you know a loaf of bread costs $2, how much does a gallon of milk cost?
2x + 2 = 8
2x = 6
x = 3
This is a two-step equation. We are multiplying 2 to the variable and adding 2 so we need to undo these two operations.
Step 1: Undo addition by subtracting 2 on each side
Step 2: Undo multiplication by dividing by 2 on each side.
Question 16
Solve for a: 4a + a – 11 = 24
4a + a – 11 = 24
5a – 11 = 24
5a = 35
a = 7
Multiple Step Equation
1) Combine like terms
4a + a = 5a
2) Add 11 to each side.
3) Divide by 5 on each side.
Question 17
Solve for y: 4x – 8y = 16
4x – 8y = 16
-8y = -4x + 16
y = ½ x – 2
Multiple Step Equation
Subtract 4x on each side.
Divide by -8 on each side.
Question 18
Solve for p: 6p + 2(p – 1) = 22
6p + 2(p – 1) = 22
6p + 2p – 2 = 22
8p – 2 = 22
8p = 24
p = 3
Multiple Step Equation
1) Distribute 2
2) Combine like terms 6p + 2p
3) Add 2 to each side
4) Divide by 8 on each side.
Question 19
Solve for r: 5 + 7r + 3r = 8(r – 4)
5 + 7r + 3r = 8(r – 4)
5 + 7r + 3r = 8r – 32
5 + 10r = 8r – 32
5 + 2r = -32
2r = -37
r = -37/2
Multiple Step Equation
1) Distribute 8
2) Combine like terms 7r + 3r
3) Subtract 8r to each side
4) Subtract 5 on each side.
Question 20
Solve for n: 3(n -2) + 1 = n + 4 + 2n
3(n – 2) + 1 = n + 4 + 2n
3n – 6 + 1 = n + 4 + 2n
3n – 5 = 3n + 4
-5 = 4
No Solution
Multiple Step Equation
1) Distribute 3
2) Combine like terms
3) Subtract 3n on each side
-5 does not equal 4 so this equation does not have a solution!