Download Chapter 1 Review

ALGEBRA I Review
NAME____________________________BLK______DATE____________________
Write an algebraic expression for each verbal expression.
1. The sum of one-third and 27
1._____________
2. The product of a number squared and 4.
2._____________
3. Write a verbal expression for the algebraic expression: 5n 3  9 .
3.________________________
4. Trey is jogging at an average rate of 2.25 meters per second. A) Write an
algebraic equation that will allow you to find the time it will take him to jog
270 meters. B) Then state the answer.
4. A)________________
B)________________
5. Write a verbal expression for the expression 2x + 3y
5.________________________
For questions 5 and 6, evaluate each expression if a = 8, b = 4, and c = 16.
2
6. a 2 bc  b 2
________________
a
c
7.   
b
ab
________________
8. Show all work to find the solution set of the equation if the replacement
set is
x = {5, 10, 15, 20}
1
x  5  55
5
Solve the equations.
9. 8 + 2m = 18
10. 4(y + 1) = 40
11. (4 - 2 2 + 5)x = 25
Simplify each expression. If not possible, write simplified.
12.
1
(16 x  12 y  4 x)
2
13. 6( y 2  3x  5 y 2  7 x)
14. 5a  7b  5a  9b  b
Name one of the properties used in the problem then solve for x.
14.
1
 x 1
5
15. 3(x-4) = 35
Property:______________
Property:______________
x = ___________
x = ___________
16. What is the difference between independent variable and dependent
variable? Then state a real life example that represents these terms.
___________________________________________________________________
___________________________________________________________________
17.Plot the relation (3,3), (5, 3),(-6, 3), and (-1, 3). State whether the relation is a
function. Why or why not?
18. List the domain and range for the following and represent it in a table and a
map.
{(0, 4), (1, 0), (-2, 4), (3, 1)}
Domain:
TABLE
MAP
Range:
For numbers 19-23, if f ( x)  2 x  4 and g ( x)  x 2  4 x find each value.
19. f (a 2 )
20. f (2)  3
22. -5 [ g (2n)  3 ]
23. f (m  3)  g (m)
21. g (4)
Write each statement in If-Then form then identify the hypothesis and conclusion.
24. Joe will play goalie when he goes his soccer game.
25. A rectangle with sides of equal length is a square.
26. For x = 4, 6x – 10 = 14
Find a counterexample for each conditional statement.
27. If you live in Springfield, then you live in Illinois.
28. If x2 = 1, then x must equal 1.
Determine whether a valid conclusion follows from the statement below for each
given condition. If a valid conclusion does not follow, write no valid conclusion
and explain why.
If Belinda scores higher than 90% on the exam, then she will receive an A for the
course.
For example: Belinda receives a B for the course.
Answer: Belinda did not receive a grade higher than a 90%.
29. Belinda scores a 90%
30. Belinda receives an A for the course.