1
DATE
PERIOD
Chapter 1 Test, Form 3
SCORE
x3 - y3
-1(x + 2y )
-3
1. Evaluate −
if x = 4 and y = -2.
2
2
1.
2. Evaluate (n - v) 2 + 3v 3 if n = 5 and v = -2.
25
Sometimes;
if a = -2b,
the value of the
3. expression is 0.
2.
3. Determine whether the statement is sometimes, always, or
never true. Explain your reasoning.
If a and b are real numbers, then - a + 2b is negative.
13.5648 in 3
4. The formula for the volume of a cylinder is V = π r 2h, where r
is the radius of the base and h is the height of the cylinder.
Find the volume of a cylinder with a radius of 1.2 inches and
a height of 3 inches. Use 3.14 for π.
4.
5. Name the sets of numbers to which each number belongs.
5. a.
a. -4
c. 0
15
b. √
3
d. −
4
e. 2
Z, Q, R
b.
I, R
c.
W, Z, Q, R
d.
Q, R
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
e. N, W, Z, Q, R
6x + 10y + 5
3
2
6. Simplify −
(16 x - 8) + −
(15 y + 12).
6.
7. Write a verbal expression to represent the algebraic expression
4(n 2 + 2n).
four times the sum of the
square of a number and
7. twice the same number
8
3
For Questions 8–11, solve each equation.
8. all real numbers
8. -6 (n - 8) = 4 (12 - 5 n) + 14 n
9. 2 3x - 5 = 14
{- −23 , 4}
9.
1
10. A = −
h(a + b), for a
2
10.
11. y - 8 + 7 = 3
11.
2A
a=−
-b
h
Ø
= length;
(4
) =
1
2+ −
+3
12. Define a variable, write an equation, and solve the problem.
2 + 10;
The width of a rectangle is 3 meters more than one-fourth its
length: 8 meters
length. The perimeter is 10 meters more than twice its length.
12. width: 5 meters
Find the length and width.
Chapter 1
59
Glencoe Algebra 2
Assessment
NAME
NAME
1
DATE
Chapter 1 Test, Form 3
1
13. The formula for the area of a triangle is A = −
bh,
2
where b represents the base length, and h
represents the height. The perimeter of the
triangle shown is 28 inches. Write an equation
for the area A of this triangle in terms of its
base length b.
PERIOD
(continued)
h
10 inches
13.
1
A=−
b(18 - b)
2
b inches
For Questions 14 –19, solve each inequality.
Graph the solution set on a number line.
4 x-3
14
< −
14. −
5
5
17
{x x > −
4}
14.
3 13 7 15 4 17 9 19
4
15. -3(5 y - 4) ≥ 17
2
4
4
2
4
2
3
1
4
3
{y y ≤ - −31 }
15.
-1- 2 - 1 0
3
3
1
3
16. {x x ≤ -4 or x > 10}
16. 5 x + 2 ≤ -18 or 2 x + 1 > 21
-4 -2 0 2 4 6 8 10 12
-2 -1 0 1
4
4
4
2
4
3
4
1
5
4
18. {x x < -2 or x > 8}
18. x - 3 > 5
-6-4-2 0 2 4 6 8 10
19. 3w - 7 ≤ 2
19.
{w −53 ≤ w ≤ 3}
4
5
7
8
10 11
2
3
20. Define a variable and write an inequality. Then solve the
3 3
3 3
3 3
resulting inequality. Mr. Brooks plans to invest part of $5000
a = amount
in a stock that pays 8% interest annually. The rest will be
invested in stock;
invested in a savings account that pays 6% interest annually.
0.08a + 0.06
Mr. Brooks wants to make at least $350 on the investment for
(5000 - a) ≥ 350;
the first year. What is the least amount that should be invested
in the stock?
20. at least $2500
Bonus A jet is flying from Hawaii to San Francisco, a distance
of 2400 miles. In still air, the jet flies at 600 mph, but there
is now a 40-mph tailwind. In case of emergency, how many
hours after takeoff will it be faster for the jet to go on to
San Francisco rather than to return to Hawaii?
B: more than 1.75h
Chapter 1
60
Glencoe Algebra 2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
1
w - −
≤ w < 1}
{
4
17.
33
17. −
≤ 3w + 9 < 12
4