Name: ______________________________ Date: __________ Period: _________
Unit 4 Honors Cumulative Test Review Packet
Translate the following into words or words into equations/expressions:
1. 2(5𝑥 + 2) − 6 = 10 ___________________________________________________
2.
Five less two times the sum of a number and 3 _____________________________
3.
Solve:
4. Solve:
5.
4 ∙ 3 + 2(9 − 3) + 52 ∙ 3 = ____________
5[23 − 3(4)] = ____________
Simplify: 3𝑥 + 2(𝑥 − 5) − 6𝑥 − 3(𝑥 − 4) = _____________________
6. Simplify:
2𝑥 + 5𝑥 2 − 3 + 8𝑥 3 − 5(𝑥 + 6) + 4𝑥 3 + 6𝑥 2 -4= _______________
7. Classify the following numbers:
Irrational
-4
3.2857…
3.1415….
0
5
√25
√5
Rational
Integer
Whole
Natural
Real
8. State which property is being used:
Commutative of Addition/Multiplication
Identity Property of Addition/Multiplication
Addition/Multiplication
Distributive Property
Associative of Addition/Multiplication
Inverse Property of
Zero Property
a) 4x+5= 5+4x ___________________
b) 4+ 2(3x+8) = 4+6x+16 _____________
c) 5∙1 = 5 ____________________
d) 4∙0= 0 ___________________
e.) 3+(-3)=0 __________________
f) 2𝑥 ∙ 3 = 3 ∙ 2𝑥 ____________________
Solve each equation. Clear any fractions or decimals first.
9.)
1
7𝑥
13
10.)
0.25𝑚 + 0.1𝑚 = 9.8
11.) 1.025𝑥 + 2.458 = 7.583
12.)
4𝑝 − 10 = 𝑝 + 3𝑝 − 2𝑝
13.)
14.)
3
+ 10 = 20
2
15.)
6(6g-2)+8(1-5g)=2g
10 + 10| − 2 − 10𝑥| = −10
16.)
5
1
1
𝑘 − 10 𝑘 = 2 𝑘 + 1
3 − |9𝑣 + 10| = 3
17.)
6 + 7|7𝑚 − 7| = 55
18.)
5| − 3𝑣 + 9| − 8 > 37
19.) | − 8 − 6𝑝| − 8 ≤ −46
20.) 5|3𝑥 + 9| + 7 ≥ −8
21.) |𝑣 + 10| − 4 < 14
22.)
23.) 7x > 21 OR 2x <- 2
24.) Write the inequality given the graphs:
a.
b.
−4 ≤ 3𝑛 + 5 < 11
25.) 2(x-2) ≤ -2(1-x)
27.) Find the value of x:
13x-5
11x+33
26.) 2k+7 ≥ 2(k+14)
28.) The width of a rectangle is 2cm less than it’s
length. The perimeter of the rectangleis16cm.
What are the dimensions of the rectangle?
29.) A moving van leaves a house traveling at an average rate of 35mph. The family leaves
3
the house 4 hours later following the same route in a car. They travel at an average rate of
50mph. Find out how long it will take the car to catch up with the traveling van?
30.) Two bicyclists ride in opposite directions. The speed of the first bicyclist is 5miles per
hour faster than the second. After two hours they are 70 miles apart. Find their rates.
31.) The sum of three consecutive odd integers is -87. What are the integers?
32.) David weighs 20lbs more than Katy, while Jonathon weights 120lbs. less than three
times Katy’s weight. If David and Jonathon weight the same amount, how much do they
each weigh?
33.) Four times a number plus five times the number is the same as ten more than eight
times the number. Find the number.
34.) Aaron needs to take out a loan to purchase a motorcycle. At one bank, he would pay
$2500 initially and $150 each month for the loan. At another bank, he would pay $3000
initially and $125 each month. After how many months will the two loan payments be the
same?
Write a possible situation for each graph.
35.)
36.) Choose the graph that best represents the following situations:
A person leaves home, drives through town, then
on the highway, and finally stops at a rest area.
_____________________________________
A person leaves home, drives to the other end of
town and buys groceries, then returns home.
_____________________________________
A person walks to a friend’s house where she
stays overnight.
_____________________________________
37.) Express the Relation as a table, Graph , and map. Then determine if it is a function or
not.
{(2, 0), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5)}
X
y
38.) Give the domain and
range of
each relation. Tell whether the relation is a function. Explain.
Domain: _________________
Range: ________________
Function : Yes No
Domain: ____________
Range: _____________
Function : Yes No
x
y
1
1
2
2
3
3
4
4
5
5
Domain: ____________
Range: _____________
Function: Yes No
39.) Identify the following function rules. Use proper function notation:
x
2
1
0
1
y
4
1
0
1
40.) Identify the independent and dependent variables. Write a rule in
function notation for each situation
a) Meg earns a $5 flat fee plus $4.50 per student for a tutoring session.
b) Jeb is allowed 2 hours less television time per week than his older brother.
41.) Evaluate: For f(x)  3x  2, find f(x) when x  4 and when x  1
42.) For h(x)  x2  4, find h(x) when x  2 and when x  7
43.) Given the following f(x) graph find the values for the following:
a. Find f(-5) =
b. Find x for f(x) = 3
c. Find f(6)=
d. Find x for f(x) = 2