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Name __________________________________
Date _______________
Period ______
Math 7
Math 7 Final Exam Review 2
Solving Equations and Inequalities:
Solve and check:
1)
 3(4  2 x)  18
4) 10 
2
( x  7)
3
2) 12  6 
5)

3x
2
x
 28  40
12
3)
6)
 3x  4  5x  6  22
Solve, graph, and check:
6)
 20  6  2x
7)
1
x9
8
12 
 7 x  34  8
Name __________________________________
Date _______________
Period ______
Math 7
Order of Operations with Rational numbers:
9) 
8)
10) Explain how to use the commutative property
to help simplify the expression:
8 5 33
 
11 7 24
3 5 9 8
 2   
2  2  2 15
11) Explain how to use the associative property to
help simplify the expression:
 5 8  33
  
 7 11  24
Using Unit Rates
12) Two people are competing to see who the fastest walker is. Kelly walked
2
of a mile in
3
1
1
3
of an hour. Jay Ann walked for
of an hour and went of a mile. Who was faster?
4
3
4
Who won the competition?
Name __________________________________
Date _______________
Period ______
Math 7
Finding Which Measures Create Triangles:
*Use the Triangle Angle Sum Theorem to see if ANGLES create a triangle
*Use the Triangle Inequality Theorem to see if SIDES create a triangle
13) Paul wants to build triangular patios for his back yard. He is not sure what measurements
he can use to build his patio so he decides to come up with some numbers and just starts
building. The sets of measurements he wants to use for the patios are …
Patio #1  12ft, 13 ft, and 1ft
Patio #2  120 degrees, 53 degrees, and 37 degrees
Patio #3  90 degrees, 45 degrees, and 45 degrees
Patio #4  10ft, 12ft, and 3ft
Which set of measurements create triangles?
Probability and Statistics:
14) Create a tree diagram and list the sample space (outcomes) for spinning the two spinners.
Then use your list, tree diagram, or multiplication to find the probabilities for a-c.
a) What is the probability of spinning black and 2?
b) What is the probability of spinning an even number and gray?
c) What is the probability of spinning a number less than 6 and white?
15) Find the measures of variation for the data displayed in the Box and Whisker plot.
The Age in Months of Current 6th Graders
Lowest Value = ________
Highest Value = _________
Range = ________
Lower Quartile = ________
Upper Quartile = _________
Interquartile Range (IQR) = ________
Name __________________________________
Date _______________
Period ______
Math 7
15) Find the measures of center for the data displayed in the dot plot.
Number of Hours Spent Doing HW for the Week
Mean = ________
Median = _________
Mode = ________
Hours
Proportional Relationships:
17) Circle the situation that describes a proportional relationship. Use tables and/or graphs to
show how you arrived at your conclusion. Give the constant of variation and write the
equation for the proportional relationship.
A) Paying six dollars for your first plate of food
then paying one dollar for each additional
plate of food you eat at a buffet.
Constant of Variation (unite rate) = ________
Equation ____________________
B) Paying three dollars for each plate of food
you eat at a buffet.
Constant of Variation (unit rate) = ________
Equation ____________________