Download Math 40 1.1 - 1.3 Class-work Name: Date: 1. Translate to an

Math 40
1.1 - 1.3 Class-work
Name:
Date:
1. Translate to an algebraic expression.
(a) The sum of x and 8 is 12.
(b) The product of 9 and y is greater than 27.
(c) The product of 4 and a is less than or equal to the difference of a and 16.
(d) The quotient of 12 and x is equal to the sum of x and 7.
2. Expand and multiply.
(a) 33
(b) 72
(c) 24
(d) 25
(e) 104
(f) 82
(g) 112
(h) 53
3. Use the rule for order of operations to simplify each expression.
(a) 48 ÷ 12 · 2
(b) 48 − 12 + 17
(c) 8 + 2(5 + 3)
(d) 5 + 2(3 · 4 − 1) + 8
(e) 3 + 12 ÷ 3 + 6 · 5
(f) 34 + 42 ÷ 23 − 52
(g) 2 · 103 + 3 · 102 + 4 · 10 + 5
(h) 4[7 + 3(2 · 9 − 8)]
4. Find the next number in each sequence.
(a) 1, 4, 9, 16...
(b) 2, 2, 4, 6...
5. Write each fraction as an equivalent fraction with denominator 36.
(a)
1
3
(b)
7
9
6. Fill in the missing numerator so the fractions are equal.
(a)
5
=
9
63
(b)
3
=
4
24
7. For each of the following numbers, give the opposite, the reciprocal, and the absolute
value.
11
(a) 5
(b) −
3
8. Place on of the symbols < or > between each of the following to make the resulting
statement true.
(a) −3
(c) −
3
2
−8
−
3
4
(b) | − 5|
(d)
5
12
−| − 5|
11
25
9. Simplify each expression.
(a) 10 − |7 − 2(5 − 3)|
(b) 15 − |8 − 2(3 · 4 − 9)| − 10
10. Multiply the following.
(a)
9 4
·
2 3
1
(b) 12
6
11. Simplify.
(a) −32 + 7
(b) −12 + (−8)
(c) 17 + (−8)
(d) 15 − (−20)
12. Simplify.
(a) −3 + (−2) + [5 + (−7)]
(b) 12 − (−7 − 10) − 15
(c) 30 − [−(12 − 4) − 8] − 3
(d) 3 · 62 − 2 · 32 − 8 · 62