Name
Per.
Algebra 2
Chapter 1 Test
Form A
Identify a pattern and find the next three numbers in the pattern.
1.
−5, −1, 3, 7,
1.
2.
64, 32, 16, 8,
2.
Name the property of real numbers re illustrated by each equation below.
3.
−8 + 3 = 3 + (−8)
3.
4.
4 + ( −4) = 0
4.
5.
2(8  t )  2  8  2 t
5.
Evaluate the expression for the given value of the variable.
6.
a2 − 2(a + 1); a = 3
6.
7.
5(2x − 1) − 3(x + 2); x = 4
7.
Write an algebraic expression that models each word phrase.
8.
Five times the sum of x and y
8.
9.
Ten fewer than twice a number n
9.
10.
Seven more than the quotient of y and 2
10.
Solve each equation.
11.
2r + 2 = 3r − 5
11.
12.
8(t + 1) = 64
12.
Solve each equation for x.
13.
14.
4
 x  3  g
9
13.
6x  1
y
5
14.
Write an equation and solve the problem.
15.
Two brothers are saving money to buy tickets to a concert. Their combined savings is
$55. One brother has $15 more than the other. How much has each saved?
15. Equation:
Solution:
16.
The length of a rectangle is 5 centimeters greater than its width. The perimeter is
58 centimeters. What are the dimensions of the rectangle?
16. Equation:
Solution:
Write the inequality that represents each sentence.
17.
Four less than a number is greater than –28.
17.
18.
Twice a number is at least 15.
18.
Solve each inequality. Graph the solution.
19.
3(x+1) + 2 < 11
19.
-------------------------------
20.
2a + 5 < 6a + 1
20.
-------------------------------
Solve each compound inequality. Graph the solutions.
21.
3x  –6 or 2x + 1 ≥ 3
21.
-------------------------
22.
−2t + 2 < 4 and 2t < 6
22.
-------------------------
Solve each equation. Check for extraneous solutions.
23.
3 x  7  18
23.
24.
x  5  3x  7
24.
Solve each absolute value inequality. Graph the solutions.
25.
5 y  3  15
25.
-------------------------
26.
2t  3  5
26.
-------------------------
BONUS POINTS:
5
A.
Name the property used to rationalize the following radical expression:
B.
The lengths of the sides of a triangle are in the ratio 3:4:5. If the perimeter is
less than 62 in, what it the length of the shortest side?
C.
Find the greater of two consecutive integers with a sum greater than or equal to 75.
2