Download Algebra 2: Real Numbers and Algebraic

Algebra 2: Real Numbers and Algebraic Expressions
Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ 1.
Label the number line with the following coordinate: −1.2. 6.
!
For the number , give the following: !
5
7
a. The opposite of = !
b. The reciprocal of = !
0
−10
10
!
7.
2.
!
c. The absolute value of = Label the number line with the following For the number − !"
!"
, give the following in fraction form: 12
coordinate: − . 5
a. The opposite of − !"
= !"
!"
b. The reciprocal of − !"
= c. The absolute value of − 0
−10
10
!"
!"
= Find the absolute value. 3.
Label the number line with the following 8.
− 7 = 9.
− − = !
coordinate: . !
0
−10
4.
10
Write the following fraction as an equivalent fraction with denominator 60. !
?
!"
3
4
Use the inequality symbols > for "greater than" or < for "less than" to compare the following. 10. −7 = !" 3
5
11. − 5.
−2 −
12
5
Write the following fraction as an equivalent fraction with denominator 60. !
!
=
?
!"
www.varsitylearning.com 1 Algebra 2: Real Numbers and Algebraic Expressions
Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ Use the order of operations to simplify the following expressions: 18. Find the area and perimeter of a square with sides that are 3 in. long. 12. 16 − 15 = 13. 6 − 8 – 7 − 2 = 19. Find the area and perimeter of a rectangle with ⋅
width 2.5 cm and height 1.5 cm. 14. 14 − 14 − 2 4 3 − 8 − 5 = 15. Write 90 as the product of its prime factors. Reduce the fractions to lowest terms. 16.
17.
!"#
!"#
!"#
!"#
20. A football team gains 8 yards on one play and then loses 13 yards on the next play. = = a.
To what number on the number line does a loss of 13 yards correspond? b.
The total yards gained or lost on the two plays corresponds to what number? www.varsitylearning.com 2 Algebra 2: Real Numbers and Algebraic Expressions
Topic A1: The Real Numbers | VERSION A Name: ___________________________________________ 1.
Label the number line with the following coordinate: −1.2. 6.
!
For the number , give the following: !
5
7
5
7
a. The opposite of = − ]1.2
0
−10
2.
10
7.
12
coordinate: − . 5
!
!
!
!
!
For the number − !"
!"
, give the following in fraction form: a. The opposite of − 0
10
!"
= !"
!"
!"
!"
19
b. The reciprocal of − = − 16
!"
!" !"
12
3.
!
!
c. The absolute value of = Label the number line with the following −10
!
b. The reciprocal of = c. The absolute value of − Label the number line with the following !"
= !"
Find the absolute value. !
coordinate: . !
8.
− 7 = 7 9.
− − = − 9
0
−10
4.
10
Write the following fraction as an equivalent fraction with denominator 60. !
!"
= !
!"
3
4
3
4
Use the inequality symbols > for "greater than" or < for "less than" to compare the following. 10. −7 < −2 5.
Write the following fraction as an equivalent fraction with denominator 60. !
!
= !"
!"
3
5
11. − > −
12
5
www.varsitylearning.com 3 Algebra 2: Real Numbers and Algebraic Expressions
Name: ___________________________________________ Topic A1: The Real Numbers | VERSION A Use the order of operations to simplify the following expressions: 18. Find the area and perimeter of a square with sides that are 3 in. long. Perimeter: 12 in. Area: 9 in2 12. 16 − 15 = 1 13. 6 − 8 – 7 − 2 = -­‐3 19. Find the area and perimeter of a rectangle with ⋅
14. 14 − 14 − 2 4 3 − 8 − 5 = 3 width 2.5 cm and height 1.5 cm. Perimeter: 8 cm. Area: 3.75 cm2 15. Write 90 as the product of its prime factors. ⋅ ⋅
2 32 5 20. A football team gains 8 yards on one play and then Reduce the fractions to lowest terms. 16.
17.
!"#
!"#
!"#
!"#
loses 13 yards on the next play. !
= !
= !
!
c.
To what number on the number line does a loss of 13 yards correspond? -­‐13 d.
The total yards gained or lost on the two plays corresponds to what number? -­‐5 www.varsitylearning.com 4