Download Part I – No Calculator

AFDA
Unit 1 Test Review
Name__________
Use order of operations to simplify
1. (4  2) 2  3  2
2. 26  23  4
3. 8  2  3  14  7
4. 7  3  2  1
5. 5  (5  2  3  7)  1
6.
7.
13  42  6
8.
20  3  4
23
16  (4  2)  3
23
Evaluate using the following values for the variables:
Let x  3 , y  5 , z  7
9. 10  y  2 x
10. x  18  7  y 
Evaluate using the following values for the variables:
11.
x 2  y when x = 4 and y = 3
12. 2 y  when y = 3
3
AFDA
Unit 1 Test Review
Name__________
Solve for x.
2
x2
3
13.
6 x 14  2  x  3  2  2 x  1
14.  4  
15.
2x  4  x  5
16. x  4  3x  8
17.
3x  7  x  5
18.  2  (3)  x  7
19.
x5 4

x2 6
20.
5
4

x2 x
21. A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?
22. A certain horse can run 2 miles in 7 minutes. How long will it take the horse to run 5 miles?
23. Which is the better buy:
a dozen cans for $3.50 or 18 cans for $4.25?
AFDA
Unit 1 Test Review
Name__________
1. Write the coordinates of each point.
Plot each point in the coordinate plane. Then describe the location of the point.
2.
Locations:
A ________________
B_________________
C_________________
D_________________
3. Solve for the indicated variable
a)
3x 8r  r for x
b)
x  3a  4b for a
c) V 
For numbers 4-6, find the zeros and y-intercepts of the equations
4. -2x + 5y = 10
5. -4y + x = 8
6. 2y – 3x = -6
bh
for b
3
AFDA
Unit 1 Test Review
Name__________
4. x-int_______; y-int _______ 5. x-int_______; y-int _______
6. x-int______; y-int _______
For numbers 7-9, find the slope of the line that passes through the points
7. (-5, -3) and (-1, 1)
8. (-1, -3) and (1, 3)
9. (1, 3) and (1, 5)
For numbers 10-12, find the value of y, so that the line passing through the points has the given slope.
10. ( 0, y), (3, 6) m =
⅓
11. (2, y), (3, 3), m = 6
12. (y, 5), (5, -1) m = -2
3
For numbers 13-15, draw the line that has the given intercepts
13.
14.
15.
** What is the slope???
** What is the slope?
** What is the slope?
For numbers 16-18, identify the slope and y-intercept of the line
16.
y = 5x
17. 10x - 5y = 30
18. 2x + 2y = -6
m=
m=
m=
AFDA
Unit 1 Test Review
b=
Name__________
b=
b=
For numbers 19-21, write the equation in slope intercept form.
19. 2x + 5y = 10
20. -8x + 4y = -36
21. 6x - 9y = -18
For numbers 22-24, graph the equation of the line, then determine if the slope is positive, negative, zero, or
undefined.
22. -3x – y = -5
23. 3y – 2x - 6 = 6
24. y = 4
y
y
x
x
Slope:______________
y
Slope:_____________
x
Slope: _____________
For numbers 25-28, given f(x) and g(x), evaluate the function for each indicated value
f(x) = -4x2 – 3
25. Find x when f(x) = -19
g(x) = 0.5x + 2
26. Find g(4)
28. find x when h(x) = 16
Use the graph to answer the next two questions.
29. f(2) = ______
h(x) = -2(x – 1) + 4
27. Find f(1) – g(0)
AFDA
Unit 1 Test Review
Name__________
30. Select all possible x values if f(x) = -2
6
2
-6
4
-4
For numbers 31-32, find the domain and range of each..
31.
32.
33. At 1:00, the water level at Washington –Lee pool is 13 inches. At 4:00, the water level is 28 inches. Find the
rate of change of the increase per hour.
34. Drew opens a savings account with $75. He makes the same deposit every month, and makes NO
withdrawals. After 3 months, he has $150. After 6 months, he has $300. After 9 months, he has $450.
What is the rate of change?
How much will he have after 1 year??
35. Determine if each of the following relations are functions. Then FIND THE DOMAIN AND RANGE of each.
a)
b)
c)
Y
N
n
d)
Y
Y
N
N
n
n
e)
Y
N
f)
y
x
-1
-10
0
-6
2
2
3
6
Y
N
AFDA
Y
N
n
x
-4
-2
0
-4
Unit 1 Test Review
y
2
3
4
6
Name__________