Algebra 1
DUE: Collected Wednesday 11/6
Homework #15
Review of 1st Quarter
Name:___________________________________
Date:______________ Block:________________
 Fractions, decimals, integers – adding, subtracting, multiplying, dividing, comparing, and ordering (evaluate)
 Properties – identity, inverse, commutative, associative, distributive, substitution, and the properties of
equality
 Solving multi-step equations – and justify each step with properties (solve)
 Translate words to expressions, equations and inequalities
 Distribute and combine like terms (simplify)
 Statistics – measures of central tendency, box-and-whisker plots, MAD, variance, standard deviation, and zscores
 Fractions, decimals, integers
Evaluate:
1)
2 3
 ________
3 5
2)
2 3
 ________
3 5
5) -6.4 + 4.9 _______
8) (-4) + 7 _____
(You should NOT need a calculator!)
9) (-4) – (-6) _____
1
 6x  9  5x  4 ________
3
4) 1
7) (-6.4)(-4.9) _______
10) 6 – 10 _____
15) 2  3x  5  3(4x  2) ________
(You should NOT need a calculator!)
Column 1
Column 2
16) 4 + 0 = 4 __
A) Associative Property of Addition
B) Associative Property of Multiplication
C) Commutative Property of Addition
D) Commutative Property of Multiplication
E) Distributive Property
F) Identity Property of Addition
G) Identity Property of Multiplication
H) Inverse Property of Addition
I ) Inverse Property of Multiplication
J) Multiplicative Property of Zero
18) 4(4 + 6) = (4 + 6)4 __
19) 2(5 6) = (2 5)6 __
20) 4(4 + 6) = 4(4) + 4(6) __
11) (-6)(-10) _____
(You should NOT need a calculator!)
Identify the property used in column 1, and match it to the property in column 2.
17) 4 + (-4) = 0 __
2 3
 ________
3 5
13)  6  9 _____
 Distribute and combine like terms
Simplify.
 Properties
2 3
________
3  5 
6) 6.4 – (-4.9) _______
12) 4  10 _____
14)
3)
 Translate words to expressions, equations and inequalities
(You should NOT need a calculator!)
Translate each verbal phrase into an expression, equation or inequality.
21) Eight less than twice a number, x. _______________________________
22) The sum of the square of a number, x and ten is at least twenty. ______________________________________
23) The difference of a number, x, and two is ten. _____________________________
 Solving multi-step equations
(You should NOT need a calculator!)
Solve each equation, if possible. (You do not have to justify each step – but you should be able to my dears)
24) -3(x – 2) + 2x = 2(x + 9) _____
25) 3(x + 2) = 3x – 12 _____
 Statistics
26)
1
 2x  8  x  4 _____
2
(You MUST be able to use a graphing calculator!)
Use the following data set to answer the following questions:
{-12, -4, 12, 13, 15, 6}
ROUND to 3 sig. figs.
27) Draw a box-and-whisker plot of the data.
28) Find the mean _____, median _____ and mode _____ of the data.
29) Find the MAD, _______
variance _______ and the standard deviation of the data. _______
30) Find the z-score of the element 15 of the data. ____ 31) What element of the data has a z-score of -1.72? ____
ANSWERS to QUARTER 1 TEST REVIEW
35)
2
36) 5, 94 and no mode1
1) 1
2)
3)
15
7
4) 2
9
7) 31.36
10) -4
13) -3
16) D
19) x = -4
22) 6
25) 3
28) 2 and 3
31) x2 +10 > 20
34) -6x – 4
35)
15
5) -1.5
5
6) 11.3
8) 3
9) 2
11) 60
12) 6
14) F
15) H
17) B
18) E
20) No solution 21) Identity
23)  10
24) -2
26) 6 and 7
27) 7 and 8
29) 3 and 4
30) 2x – 8
32) x – 2 = 10 33) 7x – 1
ANSWERS to QUARTER 1 TEST REVIEW
4
15
7
4) 2
9
1) 1
7) 31.36
10) -4
13) -3
16) D
19) x = -4
22) 6
25) 3
28) 2 and 3
31) x2 +10 > 20
34) -6x – 4
35)
2)
1
15
5) -1.5
3)
2
5
6) 11.3
8) 3
9) 2
11) 60
12) 6
14) F
15) H
17) B
18) E
20) No solution 21) Identity
23)  10
24) -2
26) 6 and 7
27) 7 and 8
29) 3 and 4
30) 2x – 8
32) x – 2 = 10 33) 7x – 1
36) 5, 9 and no mode (in that order)
37) 8.67, 97.3 and 9.87 (in that order)
38) z = 1.01
39) x = -12.0
36) 5, 9 and no mode (in that order)
37) 8.67, 97.3 and 9.87 (in that order)
38) z = 1.01
39) x = -12.0
ANSWERS to QUARTER 1 TEST REVIEW
ANSWERS to QUARTER 1 TEST REVIEW
4
15
7
4) 2
9
1) 1
7) 31.36
10) -4
13) -3
16) D
19) x = -4
22) 6
25) 3
28) 2 and 3
31) x2 +10 > 20
34) -6x – 4
35)
2)
1
15
5) -1.5
3)
2
5
6) 11.3
8) 3
9) 2
11) 60
12) 6
14) F
15) H
17) B
18) E
20) No solution 21) Identity
23)  10
24) -2
26) 6 and 7
27) 7 and 8
29) 3 and 4
30) 2x – 8
32) x – 2 = 10 33) 7x – 1
36) 5, 9 and no mode (in that order)
37) 8.67, 97.3 and 9.87 (in that order)
38) z = 1.01
39) x = -12.0
4
15
7
4) 2
9
1) 1
7) 31.36
10) -4
13) -3
16) D
19) x = -4
22) 6
25) 3
28) 2 and 3
31) x2 +10 > 20
34) -6x – 4
35)
2)
1
15
5) -1.5
3)
2
5
6) 11.3
8) 3
9) 2
11) 60
12) 6
14) F
15) H
17) B
18) E
20) No solution 21) Identity
23)  10
24) -2
26) 6 and 7
27) 7 and 8
29) 3 and 4
30) 2x – 8
32) x – 2 = 10 33) 7x – 1
36) 5, 9 and no mode (in that order)
37) 8.67, 97.3 and 9.87 (in that order)
38) z = 1.01
39) x = -12.0