Common Core Exam Review Packet
Name: _________________________________
Module 1
Part I: Multiple Choice
1.
Which equation best fits this graph?
a. 2𝑦 − 12 = 3𝑥
b. 3𝑦 − 12 = 2𝑥
2.
a.
3.
c.
2𝑦 + 12 = 3𝑥
d.
3𝑦 + 12 = 2𝑥
Which graph matches the equation 2𝑥 + 6𝑦 = 24?
b.
c.
d.
Which inequality is best represented by the following number line?
a.
−3𝑥 + 10 < 22
b.
−3𝑥 + 10 ≤ 22
c.
−3𝑥 + 10 > 22
d.
−3𝑥 + 10 ≥ 22
4.
Which number line best represents the inequality −𝟒(𝒙 − 𝟐) + 𝟓 < 𝟗 ?
a.
b.
c.
d.
5.
If you solve the equation
𝒂𝒙+𝒃𝒚
𝒄
=𝑑
for x, what would you get?
a.
𝑥=
𝑎
𝑐𝑑 − 𝑏𝑦
b.
c.
𝑥=
𝑎
𝑏𝑦 − 𝑐𝑑
d.
𝑥=
𝑐𝑑 − 𝑏𝑦
𝑎
𝑥=
𝑏𝑦 − 𝑐𝑑
𝑎
For questions 6 – 7, use the following scenario:
Willow is driving on the free way. She just passed mile marker 325. The fastest she will drive is
75 miles per hour, though, there is a bit of traffic that might slow her down a bit, but she doesn’t
know exactly how much. The mile markers are increasing on her route.
6.
If y is Willow’s speed, what is the inequality that a represents Willow’s speed?
a. y < 75
b. y > 75
c. y ≤ 75
d. y ≥ 75
7. The expression 325 + 2y represents what mile marker she’s at after 2 hours, depending on
traffic. Which inequality describes the mile marker she would be at this point?
a. 325 + 2y < 475
b. 325 + 2y > 475
c. 325 + 2y ≤ 475
d. 325 + 2y ≥ 475
Module 2
Part I: Matching
Match each system on the left with the corresponding graph on the right.
a.
__________ 1. {
𝑥 + 2𝑦 = 8
−4𝑥 − 2𝑦 = 4
b.
𝑥 + 2𝑦 ≤ 8
__________ 2. {
−4𝑥 − 2𝑦 ≤ 4
c.
𝑥 + 2𝑦 ≤ 8
__________ 3. {
−4𝑥 − 2𝑦 ≥ 4
d.
𝑥 + 2𝑦 ≥ 8
__________ 4. {
−4𝑥 − 2𝑦 ≤ 4
e.
𝑥 + 2𝑦 ≥ 8
__________ 5. {
−4𝑥 − 2𝑦 ≥ 4
Part II: Multiple Choice
6. The point (-4 , 6) is a solution to which of the following system(s)?
(Select all that apply)
a. {
𝑥 + 2𝑦 = 8
−4𝑥 − 𝑦 = 10
b. {
𝑥 + 2𝑦 ≥ 8
−4𝑥 − 𝑦 ≤ 10
𝑥 + 2𝑦 > 8
e. {
−4𝑥 − 𝑦 > 10
d. {
𝑥 + 2𝑦 ≤ 8
−4𝑥 − 𝑦 < 10
𝑥 + 2𝑦 < 8
c. {
−4𝑥 − 𝑦 ≥ 10
7. The point (0 , 0) is a solution to which of the following system(s)?
(Select all that apply)
a. {
𝑥 + 2𝑦 = 8
−4𝑥 − 𝑦 = 4
b. {
𝑥 + 2𝑦 ≥ 8
−4𝑥 − 𝑦 ≤ 4
𝑥 + 2𝑦 > 8
e. {
−4𝑥 − 𝑦 > 4
d. {
𝑥 + 2𝑦 ≤ 8
−4𝑥 − 𝑦 < 4
𝑥 + 2𝑦 < 8
c. {
−4𝑥 − 𝑦 ≥ 4
8. How many solutions might a linear equation have?
a. None
b. One
c. Infinite
d. All of the above
e. None of the above
9. How many solutions might a linear inequality have?
a. None
b. One
c. Infinite
d. All of the above
e. None of the above
10. How many solutions might a system of equations have?
a. None
b. One
c. Infinite
d. All of the above
e. None of the above
11. How many solutions might a system of inequalities have?
a. None
b. One
c. Infinite
d. None and Infinite
are both possible
e. None of the above
12. Which of the following is a solution to the inequality 𝑦 > 3𝑥 − 9?(Choose all that apply)
a. (-1 , -13)
b. (0 , -9)
c. (1 , -6)
d. (-3 , -4)
e. (0 , 0)
Module 3
Part I: Matching
Match each item on the left with a different representation from the same sequence on the
right.
_____ 1. 3 , 5 , 7 , 9 , 11 , …
a. 𝑓(1) = 3
𝑓(𝑥) = 𝑓(𝑥 − 1) − 2
_____
b. 3 , , , ,
x
1
2
3
4
5
f (x)
3
1
-1
-3
-5
2.
_____ 3. 𝑓(1) = 6
𝑓(𝑥) = 𝑓(𝑥 − 1) × 2
1 𝑥
3 3 3
3
,…
2 4 8 16
c. 𝑓(𝑥) = 3 ∙ 2𝑥
_____ 4. 𝑓(𝑥) = 6 ∙ (2)
d.
_____ 5.
e.
x
1
2
3
4
5
.
.
f (x)
3
3.5
4
4.5
5
.
.
Part II: Multiple Choice
6. Which recursive function describes the sequence 1 , 5 , 9 , 13 , 17 , … ?
a. 𝑓(1) = 1 , 𝑓(𝑥) = 𝑓(𝑥 − 1) + 4
c. 𝑓(𝑥) = 4𝑥 + 1
b. 𝑓(1) = −3 , 𝑓(𝑥) = 𝑓(𝑥 − 1) + 4
d. 𝑓(𝑥) = 4𝑥 − 3
7. Which explicit function describes the sequence 33 , 11 ,
1
a. 𝑓(1) = 3 , 𝑓(𝑥) = 𝑓(𝑥 − 1) ÷ 33
b. 𝑓(1) = 33 , 𝑓(𝑥) = 𝑓(𝑥 − 1) ×
1
3
11 11 11
3
,
9
, 27 , … ?
1 𝑥
c. 𝑓(𝑥) = 99 ∙ (3)
d. 𝑓(𝑥) = 99 ∙ (3)𝑥
8. Which recursive function best matches the explicit function (𝑥) = −2𝑥 + 5 ?
a. 𝑓(1) = −2 , 𝑓(𝑥) = 𝑓(𝑥 − 1) + 5
c. 𝑓(1) = 3 , 𝑓(𝑥) = 𝑓(𝑥 − 1) − 2
b. 𝑓(1) = 5 , 𝑓(𝑥) = 𝑓(𝑥 − 1) − 2
d. 𝑓(1) = 5 , 𝑓(𝑥) = 𝑓(𝑥 − 1) × −2
9. Which explicit function best matches the recursive function
𝑓(1) = −4 , 𝑓(𝑥) = 𝑓(𝑥 − 1) + 4 ?
a. 𝑓(𝑥) = −4𝑥 + 4
c. 𝑓(𝑥) = 4𝑥
b. 𝑓(𝑥) = 4𝑥 − 4
d. 𝑓(𝑥) = 4𝑥 − 8
10. Which sequence best matches the explicit function 𝑓(𝑥) = 3 ∙ (−2)𝑥
a. 6 , -12 , 24 , -48 , 96
b. -6 , 12 , -24 , 48 , -96
c. -2 , -6 , -18 , -54 , -162
d. − 2 , -2 , -18 , -54
3
Module 4
Part I: Matching
Match the type of interest on the left with the equation used to calculate that interest on the
right.
_____ 1. Amount of simple interest owed
a. 𝐴 = 𝑃(1 + 𝑟)𝑡
_____ 2. Total amount owed to lender after t years of
simple interest
b. 𝑖 = 𝑃𝑟𝑡
_____ 3. Total amount owed to lender after t years of
compound interest
c. 𝐴 = 𝑃 + 𝑡 × 𝑖 × 𝑃
You are going to take out a loan for $4,000 with an interest rate of 12%. You will pay the full
amount due after 10 years. Match each piece of information on the left with the calculated
amount on the right.
_____ 4. Amount of simple interest owed
a. $4,800.00
_____ 5. Total amount owed to lender after t years of
simple interest
b. $12,423.39
_____ 6. Total amount owed to lender after t years of
compound interest
c. $8,800.00
Match each equation on the left with it’s rate of change on the right.
3
_____ 7. 𝑓(𝑥) = −4𝑥 + 3
a. − 4
_____ 8. 3𝑥 + 4𝑦 = −12
b. -4
_____ 9. 𝑓(𝑥) = 4 ∙ 3𝑥
c. 4
_____ 10. 𝑦 = 4(𝑥 − 3) + 12
d. No constant rate of
change
Part II: Multiple Choice
11. Which of the following words do you know for certain describes the following function?
Some of the items might apply, select the item that we are certain applies.
1 𝑥
𝑓(𝑥) = 5 ∙ ( )
2
a. Discrete
d. Exponential
b. Continuous
e. None of the above
c. Linear
12. Which of the following words do you know for certain describes the following function?
Some of the items might apply, select the item that we are certain applies.
x
2
5
9
-2
a. Linear
d. Continuous
y
-8
-23
-43
12
b. Exponential
e. None of the above
c. Increasing
13. Which of the following words do you know for certain describes the following function?
Some of the items might apply, select the item that we are certain applies.
a. Constant rate of change
d. Exponential
b. Discrete
e. None of the above
c. Continuous