Download AH Midterm Review Pkt 2

AH Midterm Review Packet #2
1.
Solve for x when -2 2 x  8
2.
Does this table represent a function? Why or why not?
Input
Output
3.
1
10
2
12
3
12
-4 < 16. Graph your solution.
4
14
Does this table represent a function? Why or why not?
Input
Output
1
10
2
12
2
14
4
16
4.
Evaluate -x 2 -10x + 6 for
5.
Solve for x when -2 (x + 4) = -2 x + 6.
6.
Solve for x when -2x -4(x – 5) = 32.
7.
Solve for x when -3x + 6(x -3.5) = 9x -21 -6x.
8.
If the hourly wages at a local business are between $8.60 and $14.80, write an absolute value
inequality that describes the hourly wages
9.
What is the equation of a line that passes through (-3, 5) and has a slope of 6?
x = -5
10.
Are y =
1
x + 8 and 4y – 2x = 1 parallel, perpendicular, or neither?
2
11.
Are 3y = -2x + 10 and 2y - 3x = -12 parallel, perpendicular, or neither?
12.
Solve for x when 12 – x < 3x. + 10. Graph the solution.
13.
If x and y vary directly, write the equation that relates x and y when x = 6 and y = 30.
14.
Which graph represents the solution of │2x - 7│ > 9?
A
B.
C.
15.
16.
17.
The variables x and y vary directly. Write the equation that relates x and y when x  4 and
y  12?
Simplify the expression:
42 x  22
.
2
Which point lies on the graph of
A. (1, 5)
18.
D
B. (2,3)
3y 
1
x  8?
2
 6
C. 1, 
 3
D.
 4, 2 
What is the equation of a line whose x-intercept is (5,0) and whose y-intercept is (0, -2)?
Graph the line using the intercepts.
19.
Solve the equation 4(-2x + 12) = 2(-3x + 24).
20.
What is the slope of the graph of 3x + 4y = 30?
21.
What is an equation of the line that passes through the point (-3, 3) and has a slope of -6?
22.
Write an equation in point-slope form that passes through the points (-3, -4) and (2, 2).
23.
3
Write an equation of a line perpendicular to the line y = - x -8 that passes through point
2
(2, 2)?
24.
What is the slope of the line passing through the points (6, -2) and (6, 8)?
25.
1
3
What are the x -intercept and the y-intercept of - x - y > -36? Graph using the intercepts
2
4
26.
Find the slope of the graph of the linear function p if p(-4) = 16 and p(4) = 0.
27.
Write the equation of a line, in standard form, of a line that is parallel to y  3x  1 and
passes through the point (-2, -8).
28.
Solve and graph:
-2x -10 > 44 or -4x -6 < -22
29.
Solve and graph:
3x + 20 > -43 and 4x - 5 < 31
30.
Solve and graph: 4 - 3x + 8 ≤ 18
31.
At an entertainment center, Billy bought 16 batting cage tokens and played 3 games of minigolf for a total of $30. Jimmy bought 22 batting cage tokens and played 5 games of mini-golf
for a total of $43. Write & solve a system of equations to determine the cost of each batting
cage token and game of mini-golf.
32.
WRITE THE INVERSE OF THE EQUATION IN F-1(X) NOTATION.
-7Y + 2X = -28
33.
Company A charges a $39 service fee and $9 per day for service. Company B charges a $33
service fee and $11 per day for the same service. After how many days will the cost be the
same? Which company will be cheaper after 10 days?
34.
At the HMS bake sale, pies cost $10 each and cakes cost $8 each. On the first day, 40 items
were sold for $356. Define the variables and write a system of equations to find the number of
cakes and pies sold. Solve using the systems method of your choice.