Intermediate Algebra (11th edition)

STUDY SKILLS Using Study Cards

STUDY SKILLS

We introduced study cards on page 102.Another type of study card follows.

Practice Quiz Cards

Write a problem with direction words (like solve, simplify) on the front of the card, and
work the problem on the back. Make one for each type of problem you learn. Use the
card when you review for a quiz or test.

Using Study Cards Revisited

p. 129

Front of

Card

Back of

Card

Solve this inequality. Give the solution set

in both interval and graph forms.

38. − 5x − 4
    ^11

(−∞, −3]

−3

x  −3

−5 −5

−5x − 4  11

−5x − 4 + 4  11 + 4

−5x  15

−5x  15

Neither side can be simplified.

Add 4 to both sides.

Divide both sides by −5.

Reverse direction of inequality

because dividing by negative number.

Solution set in interval form;

all numbers less than −3,

including −3.

Graph of solution set.

Make a practice quiz card for material you are learning now.

Solve each inequality. See Section 2.5.

Evaluate. See Sections 1.1 and 1.2.

79.Trueorfalse? The absolute value of a number is always positive.

80.Trueorfalse? If then .a 6 0, |a|=-a

- | 6 |-|- 11 |+ 1 - 42 1 - 52 - |- 9 |+| 5 - 4 |

• 562 x+ 165 - 7 ... 3 x- 267

2 x- 4 ... 3 x+ 2 5 x- 866 x- 7

PREVIEW EXERCISES