Mid-term Review Sheet #3
Integrated Algebra 2015-2016
Name: _________________________________
Period: _______________ Date: ___________
1. If x = -2 and y = -3, evaluate: 2x2y2
2. a) Which is irrational?
(a)
3/4
(b)
100
(c)
10
(d)
.7
(b)
25
(c)
 49
(d)
π
(b)
7
(c)
(d)
 2
b) Which is irrational?
(a)
2/3
3. Which is rational?
(a)
π
4. What is the value of x?
9
3(x - 2) = 19 - 2x
5. Name each property shown below:
a) 3(x - y) = 3x - 3y ________________________
b) 3x + y = y + 3x
________________________
c) (3x)(y) = (y)(3x) _______________________
d) (3x)(y) = (3)(xy) _______________________
6. a) If x represents the first consecutive integer, what are the let statements that would
represent the second and third consecutive integers?
Let x = 1st ci
Let __________________ = 2nd ci
Let __________________ = 3rd ci
b) If x represents the first consecutive even integer, what are the let statements that would
represent the second and third consecutive even integers?
Let x = 1st cei
Let __________________ = 2nd cei
Let __________________ = 3rd cei
c) If x represents the first consecutive odd integer, what are the let statements that would
represent the second and third consecutive odd integers?
Let x = 1st coi
Let __________________ = 2nd coi
Let __________________ = 3rd coi
7.
Simplify the following expressions (without your calculator!)
a) 4[3 + 8(-2)]
b) 5 + 3[4 – 6(-2)]
c) 12 –2[6 – 8(-7)]
8.
a) Solve for x:
x
 12  6
6
b) What is the value of x in the equation:
5
x
 25
4
9. a) Solve for x: 4(x – 2) = 6x –10
b) What is the value of x: 5(x + 8) = 3(x – 12)
10. a) Define the following:
Domain _________________________
Range ____________________________
b) Given the following set: { (1, 3), (4, 5), (-4, 10), (-7, -9), (3, 5), (1, 10) }
List the domain {___________________________________________________}
List the range
{___________________________________________________}
Is this a function? Why or why not? ____________________________________________
c) From the graph below:
List the domain {___________________________________________________}
List the range
{___________________________________________________}
List the y-intercept(s) ________________________________________________
Is this a function? Why or why not? ____________________________________________
11. Which sequence below has a common difference of 2?
a)
b)
10, 8, 6, 4, …
1, 2, 4, 6, …
c) 3, 5, 7, 9,…
d) 1, 2, 4, 8,…
12. Which sequence below has a common difference of -3?
a) 9, 6, 3, 0,…
b) 1, -3, 9, -27, …
c) -3, 0, 3, 6, …
d) 0, -3, -6, -8,…
13.
a) Write four terms of an arithmetic sequence whose first term is 2 and has a common
difference of 1:
________________________________________________________________________
b) Write four terms of an arithmetic sequence whose first term is -3 and has a common
difference of -2:
________________________________________________________________________
c) Write four terms of an arithmetic sequence whose first term is -1 and has a common
difference of -6:
________________________________________________________________________