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Simplifying expressions and solving word problems

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1.Evaluate.

2.Simplify the following expression:
.

3.Solve for  .

4.Solve the inequality for  .

5.On Wednesday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

6.Graph the line.

7.Find the slope of the line graphed below.

(7, 3) AND (4, -6)

8.Find the values of and that solve the following system of equations:

.

9.Simplify.

10.Simplify.

11.Rewrite the following without an exponent.

12.Rewrite the following without an exponent.

13.Simplify.

14.Write in scientific notation.

15.Calculate.

16.Simplify.

17.Simplify.

(-3u^2-u) + (6u^2+3u+5) - (-4u^2+3u-3)

18.Multiply.

19.Multiply.

20.Rewrite without parentheses and simplify.

21.Multiply.

https://brainmass.com/math/graphs-and-functions/simplifying-expressions-solving-word-problems-346994

Solution Preview

• Evaluate.

-(2-4)^2-5*5
-(-6)^2-5*5
-36-5*5
-36-25
-61

• Simplify the following expression:
.

-15u-3y-16y+20u
5u-19y

• Solve for .

9w+18=6w+30
3w=12
w=4

• Solve the inequality for .

-3y<-30
y>10

(in this case > is greater than or equal to)

• On Wednesday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. The number of cheeseburgers sold was ...

Solution Summary

20 simplifications and word problems, along with the work required to solve them. Concepts include simplifying using like terms, graphing, finding slope, solving for variables, and deriving a function from word problems.

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