# Intermediate Algebra Help

1) Simplify the expression: (

)

223

4253

6212

2) Solve the equation: (

)

(

)

6492

xx

-=–

3) Solve the equation: (

)

(

)

(

)

351461332

xxx

+=—

4) Solve the equation: 3421

3

53

xx

+-

-=

5) Solve the equation: 0.84.40.51.4

xx

-=-

6) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 4991

xx

->+

7) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 31056

5335

xx

-£-+

8) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 54315

x

£-<

9) Solve the inequality. Write your answer in interval notation and graph the solution set on a number line: 147322

x

-<-£

10) Amber paid \$27,375 as a down payment for her house. If the down payment was 15% of the actual cost of the house, what was the actual cost?

11) After Sarah received a 5% raise, her annual salary was \$71,400. What was her annual salary before the raise?

12) Marcus wins \$800,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 5.24% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 1.8% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period?

13) Line a has a slope of 6. If line b is perpendicular to line a, what is the slope of line b?

14) Given the points (5, -3) and (-7, 1):

a) Find the slope of the line through the points.

b) Write an equation in point-slope form of the line through the points.

c) Convert the equation to slope-intercept form.

d) Convert the equation to standard form.

e) Graph the equation. You may use the axes provided, or create your own graph. -7-6-5-4-3-2-112345678

-7

-6

-5

-4

-3

-2

-1

1

2

3

4

5

6

7

8

x

y

15) a) Write an equation of a vertical line through the point (-3, 5).

b) Write an equation of a horizontal line through the point (-7, -2).

c) Find the slope of a line parallel to the line with equation 3x – 7y = 21.

d) Find the slope of a line perpendicular to the line with equation 2x + 3y = 5.

## _1470239574.unknown

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