Name:__________________
Date:___________________
Algebra, Period___________
Algebra 1 Midterm (Fall Semester Exam) Review Packet 2
Directions: Box in your answers in the blanks and show any work that is necessary.
1. Find the equation that represents the relationship in the following table.
X
Y
0
-4
5
-3
10
-2
15
-1
2. Write and simplify an expression that represents the perimeter of the figure shown below.
Reminder: *Set up, then simplify!*
3x–2
10x
10x
A.
29x + 3
B.
29x + 7
C.
29x – 3
D.
19x – 3
D.
3 and 2
6x+5
3. Solve the following equation for a:
5a – 6 = 3a + 10
4. Given the expression below, identify the coefficients.
3xy + 5 – 2xy + 10
A.
5 and 10
5. Simplify:
6. Solve for b:
B.
3xy and -2xy
C.
-3(2x – 4) + 4x + 6 – x
!!!!
!
=8
7. Evaluate if x = -2 and y = -4:
-2xy – x2
3 and -2
!!!"!! !
8. Evaluate if x = 3 and y = -2:
!!
9. Solve the following equation in slope-intercept form:
3x – 4y = -12
10. What is the x-intercept and y-intercept of the following equation?
11. Order the following lines from flattest to steepest:
#1: 2x – 4y = 8
#2: 6x – 3y = 12
4x + 2y = -8
#3: -5y = x + 7
#4 y = -5x + 2
12. If a horizontal line and vertical line intersect at (3, -5), what is the equation for the horizontal line?
Identify the property illustrated for 13-14.
13. (-5)(8)(2) = (-5)(2)(8)
14. 6 • (7 • 2) = (6 • 7 ) • 2
15. What is the domain for the graph shown below?
A.
-2 < y < 2
B.
-4 ≤ x ≤6
C.
-4 < y < 2
D.
-2 < x ≤ 6
16. Give the domain and range of the relation.
y
6
A D: –2 ≤ x ≤ 4; R: –3 ≤ y ≤ 2
4
B D: –3 ≤ x ≤ 2; R: –2 ≤ y ≤ 4
2
C D: –3 ≤ x ≤ 2; R: –3 ≤ y ≤ 6
–2
2
4
6
D D: –3 ≤ x ≤ 2; R: 0 ≤ y ≤ 4
x
–2
17. Which of the following tables represent a function?
A.
B.
C.
D.
18. What is the equation for a line in point-slope form that passes through the points (-3, 6) and (-5, 8)?
19. What is the equation for a line in standard form with a slope of -2 and a y-intercept of 8?
20. What is the equation for a line in slope-intercept form that has a slope of
!
!
(-2, 5)?
21. Given the equation y = 6x – 4 and the domain {-2, 0, 2, 4}, find the range.
and passes through the point
22. Write the following equation in slope-intercept form and give the slope.
3x – 6y = -9
slope:___________________
slope-intercept form: ___________________
23. If f(x) = -10, find x when the function is f(x) = -3x + 4
24. Find f(-2) + g(7) when f(x) = 5x – 3 and g(x) = –x + 12.
25. Find f
!
!
if f(x) = –7x + 5.
26. Which of the following model direct variation (you can pick more than one answer)?
A. y = 7x
B.
xy = 23
C.
D.
x
y
4
10
8
5
!
12 3 !
16 2.5
27.
Circle the word in the underlined section that makes this statement true. Then, answer the question.
The longer you ride in a taxi the more or less the fare will be.
Is this statement is an example of direct variation?