1. Evaluate the given expression for x = 5 and y = 2.2
2
6x + 3xy + 7y
The answer is
2.
.
5
(F − 32) expresses the relationship between Fahrenheittemperature, F, and Celsiustemperature, C. Use
9
the formula to convert 50°F to its equivalent temperature on the Celsius scale.
The formula C =
50°F =
°C
3. Simplify the given algebraic expression.
7(2y − 3) + 4(4y + 1)
7(2y − 3) + 4(4y + 1) =
(Simplify youranswer.)
4. Simplify the given algebraic expression.
5(8y − 5) − (3y + 7)
5(8y − 5) − (3y + 7) =
5. When five times a number is decreased by 3, the result is 17. What is thenumber?
The number is
.
6. When a number is decreased by 20% ofitself, the result is 120. What is thenumber?
The number is
.
7. One number exceeds another by 5. The sum of the numbers is 71. What are thenumbers?
The numbers are
. (Use a comma to separateanswers.)
Average Yearly Earnings, by Job
8. The average yearly salary of a lawyer is $27 thousand less
than twice that of an architect.Combined, an architect and a
lawyer earn $213 thousand. Find the average yearly salary of
an architect and a lawyer.
140
120
100
80
60
40
20
0
Fast-Food Construction Architect
Worker
Worker
Job
The average yearly salary of an architect is $
The average yearly salary of a lawyer is $
thousand.
thousand.
Lawyer
9. Solve the quadratic equation by factoring.
2
x − x − 42 = 0
The solution set is
.
(Simplify your answer. Use a comma to separate answers asneeded.)
10. Solve the equation using the quadratic formula.
2
x + 11x + 3 = 0
The solution set is
.
(Simplify youranswer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to
separate answers asneeded.)