Download Algebra 2 - Test #1 – Practice

Algebra 2 - Test #1 – Practice
1. The formula
relates the speed S in miles per hour a car was traveling to the length d in feet that
the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending
on the road surface and the condition of the tires. Which sets of numbers contain the value of S for f = 0.6 and
d = 50?
Name the property of real numbers illustrated by the equation.
2.
3.
4.
5. –11  
1
11
=1
6. 3.1  1 = 3.1
Find the opposite and the reciprocal of the number.
7. 300
8. Simplify
.
Insert <, >, or = to make the sentence true.
9. 22.59
Evaluate the expression for the given value of the variable(s).
10.
11.
;x=3
12. The expression
models the height of an object t seconds after it has been dropped from a height
of 1700 feet. Find the height of an object after falling for 1.9 seconds (Show your work. Write your answer in
the form of a sentence).
Simplify by combining like terms.
13.
Solve the equation. Show all of your work and circle your answer.
14.
15.
16.
17.
Solve the inequality. Graph the solution set.
18. 5 + 5k  20
19. 5(3b + 2) < –3 + 15b
Solve the compound inequality. Graph the solution set.
20. 5x – 1 < –26 or 3x + 2 > –7
Solve the inequality. Graph the solution.
21.
22.
Solve for x. State any restrictions on the variables.
23.
24. A rectangle is 6 times as long as it is wide. The perimeter is 40 cm. Find the dimensions of the rectangle.
Round to the nearest tenth if necessary (Show your work. Write your answer in the form of a sentence)
Solve the equation. Check for extraneous solutions. Show all of your work and circle your answer.
25.
Algebra 2 - Test #1 - Practice
Answer Section
SHORT ANSWER
1.
2.
3.
4.
5.
6.
whole numbers, integers, rational numbers, real numbers
Associative Property of Multiplication
Distributive Property
Commutative Property of Multiplication
Inverse Property of Multiplication
Identity Property of Multiplication
7. –300,
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
5
<
4
13
1642.24 ft
x = 8 or x = 3
1
x = 1 or x =
2
2
1
5
1
3
6
k3
–8 –6 –4 –2
0
2
4
6
8
0
2
4
6
8
–8 –6 –4 –2
0
2
4
6
8
–20 –15 –10 –5
0
5
10 15 20
0
5
10 15 20
19. no solutions
–8 –6 –4 –2
20. x < –5 or x > –3
21.
22. –15 < x < 12
–20 –15 –10 –5
23.
;
24. 2.9 cm by 17.1 cm
25.