Final Review I
Final Review II
Final Review III
Final Review IV
Final Review V
100
Translate the phrase into an algebraic expression.
four less than the amount of cents in a number of dimes
10n-4
100
Simplify
4(3/8) * -3(3/7)
-15
100
Simplify
16 5/6 -12 1/3
4 1/2
100
Express the following in scientific notation.
56,300,000
0.0000095
5.63 x 107
9.5 x 10-6
100
The diameter of Mars is about 7 x 106 meters. A standard table tennis ball is 0.04 meter in diameter. About how many times greater is the diameter of Mars than that of a table tennis ball?
~ 1.75 x 108 times greater
200
Find the unit rate of the following. Round to the nearest cent.
$97.50 for 15 pizzas
1 pizza for $6.50
200
Determine if the following set of numbers is proportional.
No; the rates are not equal.
200
The classrooms at Clyde Boyd Junior High are painted every summer. If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint 16 classrooms?
28 gallons
200
16 is 25% of what number?
64
200
Find the percent of change to the nearest tenth. Then state whether the percent of change is an increase or decrease.
From 82 feet to 74 feet
-9.8%; decrease
300
Find the sale price of a bike that is regularly $110 and is on sale for 45% off the original price.
$60.50
300
Find the total amount in the account if $3850 is invested for 2 years at a rate of 5.25% compounded annually. Round to the nearest cent.
$4264.86
300
Simplify
4a - 6 -2(a - 1).
2a - 4
300
Factor 32 + 24x.
8(4 + 3x)
300
Solve
1 7/8y=4 1/2
2 2/5
400
Solve
19 = 3 - 3d - 5d.
-2
400
Solve
18 = 9/10(x - 1)
21
400
Solve
2/5C +4/5C -6 = c + 7
65
400
Solve and graph the following inequality.
2(n - 5) ≤ -7
n <= 1.5
400
State the slope and y - intercept of the function. Then describe how you would graph the function.
-9x + y = -5
y = 9x - 5
m = 9; b = -5
To graph, goes down 5 on the y - axis and make a point. Starting at (0,-5) go up 9 and over 1 to the right and make another point. Connect your points extending the line.
500
Solve the system of equations. What does the solution mean?
3x + 2y = 30
x - 2y = -6
(6, 6); the coordinate at which the two lines cross making (6,6) the solution to the system of equations.
500
What are the measures of center? How do you calculate them?
Measures of Center: mean, median, mode
Mean - average of the data
Median - middle number
Mode - number that occurs the most
500
What five numbers do you need to make a box - whisker plot? How do you calculate the quartiles?
5# Summary (Box - Whisker Plot):
min, Q1, median, Q3, max
Q1 = median from the min to the median of the entire data (25% of the data)
Q3 = median from the median of the whole data to the max (75% of the data)
500
What are the formulas to calculate the following:
Area of a Triangle
Area of a Circle
Circumference of a Circle
Area of a Trapezoid
Triangle: 1/2bh
Trapezoid: 1/2h(b1 + b2)
Area of a circle: pi r^2
Circumference of a Circle:
C = 2pir; pid
500
Find the area of the composite figure.
7.3mm2