Download a. √250 9 12 b. √126 14 5 cd

Name ______________________________________ Date ______________________ Block ________
ALGEBRA 1 SEMESTER REVIEW 2016
1. Simplify each of the following radical expressions.
a. √250𝑎9 𝑏12
b. √126𝑐14 𝑑 5
c.
d.
√48𝑥 7 𝑦 8
12𝑥𝑦
√220𝑔10 ℎ23
16𝑔3 ℎ4
2. Write the domain and range for the relation in the graph below. Use inequality notation.
Name ______________________________________ Date ______________________ Block ________
3. Find the solution to the following system of equations.
4𝑥 − 9𝑦 = 25
−8𝑥 + 18𝑦 = −50
4. Ariana saved $300 working as a lifeguard last summer. She plans to buy CDs and DVDs
with her money. At a discount entertainment website, she sees that each CD costs $7 (tax
included) and each DVD costs $10 (tax included). If she will buy three times as many
CDs as DVDs, how many DVDs will Ariana buy without exceeding $300?
8
5. Write an equation of a line in standard form that has a slope of − 7 and a y-intercept
of 2.
6.
Line m passes through the points (4, -2) and (7, 8). What is the slope of the line that is…
a. Parallel to line m
b.
Perpendicular to line m
7. Write a linear equation for each of the following pairs of points by first finding the slope:
a. (2, 12) and (2, -4)
b. (7, -5) and (4, -5)
c. (1, 12) and (0, 9)
8. Simplify the following: √300 + 4√27
Name ______________________________________ Date ______________________ Block ________
9. Find the solution of the system of equations described by the tables below.
x
4
8
12
y
8
11
14
x
2
3
4
y
18
20
22
10. Jordan works at a pizza restaurant making boxes that hold pizzas. Each month he will
earn $15 plus $0.50 for each box he makes over 150 boxes. Last month, Jordan earned
$115 at the restaurant. Next month, the amount earned per box will increase to $0.75 per
box. If Jordan makes the same number of boxes next month as he did last month, how
much will he earn next month?
11. What is the slope of the line represented by the equation –9y + 12x = 72?
12. Find all numbers such that 7 plus 9 times the number is no less than 250.
13. Solve the proportion for x:
5𝑥 − 3 𝑥 + 7
=
8
2
Name ______________________________________ Date ______________________ Block ________
14. If 4(𝑥 − 5) − 3(𝑥 + 4) = 30, then what is the value of x?
15. The following table describes the height of a ball after being thrown.
Time (seconds)
0
0.5
1
1.5
2
2.5
Distance from Ground (feet)
3
5.75
8
9.75
11
11.75
a) Write a quadratic equation that describes the path of the ball thrown.
b) How high is the ball after 5.5 seconds?
16. The town of Clemmons has an increase in population each year. In 2013, the population
was 300 people. In 2014, the population was 360 people. In 2015, the population was 420
people. Write an equation in standard form that can be used to predict the population of
Clemmons, y, for x number of years after 2013.
17. At Rodney’s Car Rentals, Melody can rent a car for $155 per week plus 30 cents per mile
driven. At Joel’s Journey Vehicles, Melody can rent a car for a flat fee of $250 per week.
What is the number of miles Melody would drive to have renting from Rodney’s Car
Rentals be less than renting from Joel’s Journey Vehicles?
18. How many questions will be on this year’s Algebra 1 final exam?
A.
B.
C.
D.
10
20
30
50