Algebra 1 – Chapter 3 Test – Calculator Test
Proportions, Radicals,
Pythagorean Thm. Test
Name_____________
Date _____________
Solve each of the following proportions:
1)
2
5
=
1.2 k
12 g
=
48 20
2)
k = _______
3)
g = _______
2h  6 2
=
6
3
h = _______
The following figures are similar. Find the missing length x.
4
x = _______
x = _______
Simplify each expression. Round answers to the nearest tenth if necessary.
6)
611
7)
78
6)_________
7)_________
Simplify. Leave your answer in radical form.
8)
12
9)
125
8)_________
9) _________
10. A scale on a map is 1 in. = 25 miles. You measure the distance from your house on a map to
your grandparents houseand it was 18.5 inches. How far do you actually live from your grandparents?
10) ________
11) The regular price of a shirt cost $25. If the shirt is 20% off how much would the shirt cost after the sale?
11) __________
12) A woman wanted to leave a 15% tip at the Olive Garden. The cost of her meal was $12. How much money did she leave
for her tip?
12) __________
Find the unit rate.
13) $325 for 10 hours
14) 624 miles in 12 hours
13) ____________
14) ____________
Use the right triangle below along with the given information to find the missing side length.
15) a = 4ft., b = 7ft., c = _____
16) b = 9in, c = 20in, a = _____
15) ___________
16) ___________
17) Suppose you are making a sail in the shape of a right triangle for a sailboat. The length of the longest side of the sail is 65 ft.
The sail is to be 63 ft high. What is the length of the third side of the sail?
Rewrite each expression in simplest radical form.
18.
____20.
128 _________
19.
27 __________
A 24-oz bottle of water costs $1.20. What is the cost per ounce?
a.
$0.48/oz
b.
$0.05/oz
c.
$0.50/oz
d.
$4.80/oz
99
5
d.
8
Solve the proportion.
____21.
a.
57
8
b.
65
8
c.
____22.
School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip.
How many chaperones must there be for 80 students?
a.
6 chaperones
c.
3 chaperones
b.
40 chaperones
d.
7 chaperones
____23.
Simplify
a.
1.33
____24.
____25.
Simplify
a.
–50
.
b.
1.3
c.
0.845
d.
13
c.
25
d.
–25
c.
12 and 13
d.
9 and 10
.
b.
Between what two consecutive integers is
?
a.
11 and 12
b.
14 and 15