Download Algebra II-Honors Test Review 1-1 to 1-3

Name: ________________________ Class: ___________________ Date: __________
Algebra II-Honors Test Review 1-1 to 1-3
Short Answer
To which sets of numbers does the number belong?
31
1.
2. −
2
15
Graph the number on a number line.
11
3.
Insert <, >, or = to make the sentence true.
3
4.
5. |18 + 20|
7
|−5 − 2|
Find the opposite and the reciprocal of the number.
6. 3
1
ID: A
Name: ________________________
ID: A
Name the property of real numbers illustrated by the equation.
7. −2(x + 11) = −2x − 22
8. π ⋅ 6 = 6 ⋅ π
9. Simplify |−11 + 3| .
Evaluate the expression for the given value of the variable(s).
10.
4(3h − 6)
1+h
; h = −2
11. −x 2 − 4x − 4; x = –3
Simplify by combining like terms.
12. −3(−4y + 3) + 7y
2
Name: ________________________
ID: A
13. Find the perimeter of the figure. Simplify the answer.
Solve the equation.
14.
1
1 1
1
r−
+ r = +r
4
16 2
2
15. −5y − 9 = −(y − 1)
Solve the equation or formula for the indicated variable.
16. T =
2U
, for U
E
17. The formula for the time a traffic light remains yellow is t =
1
s + 1, where t is the time in seconds and s is the
8
speed limit in miles per hour.
a. Solve the equation for s.
b. What is the speed limit at a traffic light that remains yellow for 4.5 seconds?
2
Name: ________________________
ID: A
Solve for x. State any restrictions on the variables.
18. ax + bx + 9 = 7
19. Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the
other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?
20. A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round
to the nearest tenth if necessary.
4
ID: A
Algebra II-Honors Test Review 1-1 to 1-3
Answer Section
SHORT ANSWER
1. irrational numbers, real numbers
2. rational numbers, real numbers
3.
4. <
5. >
1
3
Distributive Property
Commutative Property of Multiplication
8
48
–1
19y − 9
10x + 2y
9
−
4
1
−2
2
TE
U =
2
s = 8t − 8; s = 28 mi/h
−2
x =
; a ≠ −b
a+b
45 mi/h and 55 mi/h
7.5 x 22.5 cm
6. −3,
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
1