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```Integrated 1
Practice Test
Name _______________________________________ Period _________
Directions: Solve the following systems of equations using substitution or elimination or equal value method. Show all required work!!
x  7y  33
5x  12y  16
Solutions to 1-6
1.
2.
2
2
1/2 2
3y  4x  7
2x  12y  2
1
-5
y  3x  5
3.
5.
2x  3y  17
22
-3
y  8x  5
8x  5y  1
6.
3x  2y  48
9
5
2x  3y  4
4.
y  4x  10
-10
1/2
4x  3y  1
Solutions to 7-10
12  x
2x  3
Directions: Write an algebraic expression that describes each phrase:
7. Three less than twice x.
8. Twenty –five more than
9. Three times the sum of 2 and x.
three times x.
3x  25
3 x  2 
10. x less than 12.
Directions: Solve the following equations for the stated variable.
11. Solve for y:
2x  4y  16  0
3b  2a  7
12. Solve for a:
13. Solve for y: 2y  3x  4y  x  8
14. Find the dimensions, then write the area as a product and as a sum:
a.
b.
c.
2x
18
2x
8
-4x
-24
x2
9x
3x2
12x
x2
6x
____________=___________
____________=___________
____________=___________
15. Multiply each of the following expressions. Use generic rectangles to show your work for parts (b), (c) and (d).
b.  2x  5  (3x  8)
c. (9x 1)(2x  5)
a. 4(8x  5)
d. (x  2)(x 2  7x  5)
16a.
n
1
2
3
4
5
a)
What type of sequence is t(n)?
16b.
n
t(n)
9
7
5
3
1
b) Write the rule for t(n).
c)
1
2
3
4
5
Find t(12).
t(n)
6
18
54
162
486
d) Is -43 a term of this sequence?

t  n   2  3
yes
n
y  2x  4
3
7
a  b
2
2
no
What type of sequence is t(n)?
b)
Write the rule for t(n).
c)
Find t(7).
d) Is 354,294 a term of this sequence?
Check Answers: #s 14 – 15
Check Answers: #11, 12, 13, 16
t n  2n  11
a)
4374
-13
arithmetic
1
x4
2
geometric
y
 3x  2   x  4   3x 2  14x  8
18x 2  43x  5
6x 2  31x  40
 x  9   x  2   x 2  11x  18
 x  6   x  4   x 2  2x  24
x 3  5x 2  19x 10
32x  20
17. Consider the following equations:
y  2x  2
y  2x  10
a.
Graph both equations on the graph
at right.
b.
At what point do the two lines
intersect? ( , )
c) Solve the system algebraically using
the equal values method to verify the
point of intersection.
y  2x  2
y  2x  10
18. Consider the following equations:
y  2x  7
x  2y  4
a.
Graph the equation y  2x  7 .
b.
Rewrite the equation x  2 y  4
in y-form.
c) Solve the system algebraically using
the equal values method to verify the
point of intersection.
y  2x  7
x  2y  4
Check Answers: #s 17, 18
(3, 4)
(-2, -3)
c.
Graph the equation from part (b).
d.
At what point do the two lines
intersect? ( , )
19. Graph the equation
2
y  x4
5
using the graph provided:
y
20. Write the equation of
the line at the right.
Answer:____________________
1
x2
2
y
3
x6
2
```