Section 2.2: Equations with Multiple Steps

Solve each equation.

1.2.3.

4.5.6.

7.A square has the following dimensions:

a)Draw the figure and label the sides. b) Solve for x and determine the length of the sides.

c)What is the area of the square?

Section 2.5: Absolute Value Equations

8.Evaluate the following expressions for when and

a)b)

Solve each equation.

9.10.11.

Solution:Solution:Solution:

12.13.

Solution:Solution:

14.Write an absolute value equation to represent each solution:

a)b)A road has a maximum speed limit of 65 mph

with a minimum speed of 45 mph.

______

Section 2.6: Cross Multiplication and Proportions

Solve each equation by using cross-multiplication.

15.16.17.

18.19.20.

21.You want to see what kind of gas mileage your car gets. To test this, you drove 50 miles and used up 3 gallons of gas.

a)If your car keeps this same rate of gas usage, how far will you be able to drive if you have 10 gallons of gas in your car?

b)How many gallons of gas would you need to drive to Cleveland? According to Google Maps, Cleveland is 141 miles away.

Section 2.8: Literal Equations

Solve each equation for the specified variable.

22.Solve for k: 23.Solve for y: 24.Solve for

Section 2.9: Weighted Averages and Work Problems

25.At Westbridge High School, a student’s grade point average (GPA) is based on the student’s grade and the class credit rating. Brittany’s grades for this quarter are shown. Find her GPA if a grade of A equals 4 points and a B equals 3.Round to the nearest tenth.

Class / Credit Rating / Grade
Algebra 1 / 1 / A
Science / 1 / A
English / 1 / B
Spanish / 1 / B
Music / .5 / A

26.In Honors Algebra I, homework is worth 20% of the final grade and assessments are worth 80%. If a student has a 95% on her homework assignments, what does her assessment average have to be to end up with a 93% or higher in the class?Round to the nearest whole number.

27. A Brian and Billy have been working together to complete the construction of a playhouse for Brian’s back yard. Together it has taken them 18 hours to complete the construction. If Brian had completed the construction on his own, it would have taken 45 hours. How long would it have taken Billy if he had built the playhouse by himself?

28.Find the sum of the two largest integers of 4 consecutive even integers if the least integer decreasedby twice the greatest integer is 14.

29.The length of a rectangle is 21 less than twice its width. The perimeter of the rectangle is 300. Find the dimensions of the rectangle.

Section 2.10: Radical Equations

Solve each equation..

30. 31. 32.