Download Math 40 Chapter 1 Study Guide Name: Date: Must show work for

Math 40
Chapter 1 Study Guide
Name:
Date:
Must show work for credit.
1. Translate the following statement into symbols.
(a) The product of 7 and y is 21.
(b) Three times the sum of x and y is less than 13.
2. Use the rule for order of operations to simplify each expression.
(a) 12 − 3(2 · 5 + 7) + 4
(b) 23 − 10[4 − 3(−2 + 18)]
3. Fill in the missing numerator so the fractions are equal.
(a)
5
=
8
24
(b)
−3
=
4
16
4. For each number, name the opposite, reciprocal, and absolute value.
(a) −6
(b)
5
7
5. Place on of the symbols < or > between each of the following to make the resulting
statement true.
2
1
(a) −9
−11
(b) −
−
3
3
6. Perform the indicated operations and, if possible, simplify.
1
(a) | − 9 + (−6)| + | − 3 + 5|
(b) 8 −
4
(c) 5(−6)2 − 3(−2)3
(e)
4(−7) − 3(9)
−9 − (−9)
(d) 4 − 2[−3(−1 + 5) + 4(−3)]
(f)
2(−3 − 1) + 4(−5 + 2)
−3(2) − 4
7. State the property or properties that justify the following.
(a) 9(3y) = (9 · 3)y
(b) (4 + y) + 2 = (y + 4) + 2
(c) −3(x − 5) = −3x + 15
(d) (1 + s) + r = (r + 1) + s
√ 1
8. For −9, −2.5, 3, , 0, 2.6, 5 list all the elements of the set that are named in each
5
of the following subsets.
(a) Whole Numbers
(b) Integers
(c) Rational Numbers
(d) Irrational numbers
9. Factor into the product of primes.
(a) 90
10. Combine.
11
5
(a)
+
42 42
(b) 840
(b)
1
3
+
42 70
11. Find the next number in each sequence.
(a) 8, 4, 0, ...
(c)
1
5
, 1, , ...
3
3
(b) 8, −4, 2, −1, ...
(d) 1,
1 1
,
, ...
5 25