Beginning Algebra, 11th Edition

CHAPTERS 1–4 Cumulative Review Exercises^293

Solve each problem.

11.On August 6, 2009, the U.S. Senate confirmed Sonia Sotomayor, as the 111th Justice of

the United States Supreme Court. With 99 senators voting, 37 more voted in favor of her

confirmation than voted against it. How many senators voted each way? (Source: The

New York Times.)

12.Two angles of a triangle have the same measure. The measure

of the third angle is 4° less than twice the measure of each of

the equal angles. Find the measures of the three angles.

Graph each linear equation.

Find the slope of each line.

15.Through and 16.Perpendicular to the line

Find an equation for each line. Write it in slope-intercept form.

17.Through with slope 18.Through the points and

19. (a)Write an equation of the vertical line through
    (b)Write an equation of the horizontal line through

Solve each system by any method.

1 4, - 12.

1 9, - 22.

1 - 4, 1 2 21 1 1, 3 2 1 - 2, - 32

1 - 5, 6 2 1 1, - 22 y= 4 x- 3

x-y= 4 3 x+y= 6

Actual Number That

Percent Recognition Recognized Slogan

Slogan (product or company) (nearest tenth of a percent) (nearest whole number)

Please Don’t Squeeze the... (Charmin®) 80.4%

The Breakfast of Champions (Wheaties) 72.5%

The King of Beers (Budweiser®) 1570

Like a Good Neighbor (State Farm) 1430

(Other slogans included “You’re in Good Hands” (Allstate), “Snap, Crackle, Pop” (Rice Krispies®), and

“The Un-Cola” (7-Up).)

Source: Department of Integrated Marketing Communications, Northwestern University.

Measures are in degrees.

2 x – 4

xx

20. 21. 22.

6 x+ 8 y= 1

3 x+ 4 y= 2

3 x+ 4 y=- 7

4 x+ 5 y=- 8

x+ 2 y= 11

2 x- y=- 8

Use a system of equations to solve each problem.

23.Admission prices at a high school football game were $6 for adults and $2 for children.

The total value of the tickets sold was $2528, and 454 tickets were sold. How many adult

and how many child tickets were sold?

Kind Number Cost of Each Total Value

of Ticket Sold (in dollars) (in dollars)

Adult x 66 x

Child y

Total 454

24.A chemist needs 12 L of a 40% alcohol solution. She must mix a 20% solution and a 50%

solution. How many liters of each will be required to obtain what she needs?

25.Graph the solution set of the system.

x+ 2 y... 12

2 x- y... 8

10.A survey measured public recognition of some classic advertising slogans. Complete the

results shown in the table if 2500 people were surveyed.