Variables and Expressions
Write an algebraic expression for:
74 increased by 3 times y
74 + 3y
24 / 3(2) - 32
7
Find the solution of each equation if the replacement sets are {1/4, 1/2, 1, 2, 3}
x + 1/2 = 5/2
2
Name the property used in the equation
6n=6
mulitplicative identity
Identify the independent and dependent variables.
Independent - year
Dependent - number of newspapers sold
Write a verbal expression for:
K5
6
One sixth of the fifth power of k.
52 - 3
20(3) + 2(3)
1/3
Solve the equation
1/4 + 5/8 = k
7/8
Name the property used in the equation.
0+21=21
Additive Identity
How many more people visited France than the United States?
24.5 million
Write a verbal expression for the algebraic expression.
3x2 + 4
3 times x squared minus 2 times x.
Evaluate each expression if x=2, y=3, z=4
x(2y+3z)
36
{0, 1, 2, 3, 4, 5, 6, 7}
3x - 4 (greater than) 5
{4, 5, 6, 7}
Rewrite the expression using the distributive property, then solve.
6(12+5)
6 (12) + 6 (5) = 102
If you want to know the exact number of people who preferred spaghetti over linguine in Survey 1, which is a better source, the table or the graph? Explain
The table, because it gives exact numbers.
Evaluate
35
243
[8(2) - 3(3+9)] + [8-2(3)]
6
Find the solution of the equations using the given replacement set.
1.4(x+3)=5.32
0.8
Simplify the expression
12a-12b+12c
Simplified
During a storm, it rained lightly for a while, then poured heavily, and then stopped for a while. Then it rained moderately for a while before finally ending. Which graph represents this situation?
C
The surface area of the side of a right cylinder can be found by multiplying twice the number pi by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side.
2(pi)rh
Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $36 per day plus $0.50 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 180 miles.
Write and evaluate an expression to determine how much Ms. Carlyle must pay the car rental company.
5(36) + 0.5 (180-100)
$220.00
A teacher has 15 weeks in which to teach six chapters. Write and then solve an equation that represents the number of lessons the teacher must teach per week if there is an average of 8.5 lessons per chapter
n= 6(8.5)/15; 3.4
The Ross family recently dined at an Italian restaurant. Each of the four family members ordered a pasta dish that cost $11.50, a drink that cost $1.50, and a dessert that cost $2.75.
What was the cost of dining out for the Ross family?
$63.00
If the percentage of visitors from each country remains the same each year, how many visitors from Canada would you expect in the year 2003 if the total is 59,000,000 visitors?
17,110,000