Math 304
Solutions to Additional Practice over Chapter 8-No Calculator
1. Evaluate, showing each step, using good notation.
a. 4 + 8 ÷ 2 × 2 − 1
b. 2 + 5(5 2 − 4 2 )
d. 3 + 6 − 2(7) + 1 − 9 + 1
2. Simplify
2
3
x−
3
4
4. Solve 6( y − 3) − 5( y + 2) = 8
e. 2 − (9 + (12 + 4 ÷ 2 × 4))
3. Simplify
c.
12 2(18 − 6) 20
+
−
4
6
−4
f.
4(3) 2 − 100
2
1 15
+
7 4x
5. Solve 2x2 – 128 = 0
6. Apply the steps to problem solving showing how you would work each problem step-by-step.
a. Harriet gave her two grandsons gifts of cash for Christmas. John, the younger one,
asks his brother Michael how much he received. Michael is unwilling to state the
amount, but he says, “If I had gotten $10 more, and then doubled that amount, then I’d
have $50 more than what I actually got.” How much did Michael get from his
grandmother?
b. A poster has a rectangular printed area 100 cm by 140 cm, and a blank strip of uniform
width around the four edges. The perimeter of the poster is 1 ½ times the perimeter of
the printed area. What is the width of the blank strip, and what are the dimensions of
the poster?