Solving Equations
Isolating for a Variable
Equivalent Equations
Creating Equations / Expressions
Unit 1 Review!
100
Solve for X:
3x-2=x+12
2x-2=12
2x=14
x=7
100
Isolate for W in the following:
A=L*W
correct answer:
W=A/L
100
What acceptable / accurate math move was made to prove why these equations are equivalent:
3x-1=7x+11-2x
3x-1=5x+11
Correct Answer:
Combined like terms (7x and -2x) on the right side
100
When renting a car there is a service fee of $75 but there is also an additional charge of $2 for every mile driven. Use m, to represent miles and use an expression to represent the situation
75+2x
100
Identify the Median of the following:
4 , 2 , 7 , 3 , 9
1) Put the numbers in numerical order
2 , 3 , 4 , 7 , 9
2) Identify the middle number:
Correct Answer - 4
200
Solve for X:
5x -3 = 7x+1
-3=2x+1
-4=2x
x=-2
200
Isolate for X
4x-2y=12
4x=12+2y
x=(12+2y)/4
200
Explain if the following are equivalent or not and be sure to PROVE you answer:
6x-2=2x+5
8x-2=5
No, not equivalent. Error was in subtracting 2x on the right side but adding 2x on the left side.
200
Amaya has $475 is her account but has to pay $50 each month for her cell phone bill. Use m to represent months and write her remaining total as an expression.
475-50m
200
What are the components of the 5 number summary
(hint* Think Box Plot)
Correct Answer:
Min , Max , Q1 , Q3 and Median
300
Solve for X:
-2(x-5)=3x-20
-2x+10=3x-20
10=5x-20
30=5x
x=6
300
Isolate for Y:
5x+2y=10
2y=10-5x
y=(10-5x)/2
300
Identify the equation that is equivalent to the original:
5x+1-2x=7
A)
7x+1=7
B)
10x+2-4x=14
C)
5x-2x=8
Correct Answer:
B) Everything was impacted by a scale factor of 2
300
When buying food at the snack stand, Kevin saw there were pretzels on sale for $5 and soda on sale for $2. Kevin had $20 to spend at the snack stand. Use p to represent pretzels and s to represent soda and create an equation to represent his options.
5p+2s=20
300
A) The Median is larger than the Mean
B) The Mean is larger than the Median
C) Mean and Median are equal
D) There is not enough information to determine whether the mean or the median is larger.
Correct Answer:
B) The Mean is larger than the median due to the outlier being a larger number.
400
Solve for X:
3(2x-4)-4x=12-2x
6x-12-4x=12-2x
2x-12=12-2x
4x-12=12
4x=24
x=6
400
Isolate for H
V=(1/3)(pi*r^2*h)
3V=(pi*r^2*h)
(3V)/(pi*r^2)=H
400
Explain if the following are equivalent or not and be sure to PROVE you answer:
11+2x = 3-(5x-2)
11+2x = -5x+5
Answer:
Yes they are equivalent:
Step 1) Distribute the negative
Step 2) combine like terms ( 3 and +2)
400
A cell phone company charges a monthly base rate of $30 plus $0.10 per text message. Create an inequality to represent t, how many texts until the phone bill is greater than $50
Correct Answer:
30+0.1t>50
400
Order in terms of smallest Standard Deviation to largest
Correct Answer:
B , A , C
500
Solve for X:
(1/3)*(2x-7)=5x+2
2x-7=3(5x+2)
2x-7=15x+6
-13=13x
x=-1
500
Isolate for C
F=(9/5)C+32
F-32=(9/5)C
(5/9)(F-32)=C
500
Explain if the following are equivalent or not and be sure to PROVE you answer:
(1/4)(5x-2)=3-7x
5x-2=12-28x
Yes, Equivalent Equations.
Both sides were multiplied by 4 in order to get rid of the fraction.
500
Create an equation for the situation:
A music streaming app offers a plan that costs $10 to sign up. Users can stream up to 50 songs at no additional charge. After that, the app charges $0.25 per song for every song over the first 50 free. Use x to represent number of songs streamed.
10+0.25(x-50)
500
What is the appropriate measure of center to use when describing a skewed distribution, and why?
Appropriate measures of center: Mean / Median
Correct Answer: Median
Explanation: The mean is too heavily influenced by an outlier and therefore can be come unreliable for skewed distributions.