Summer Prep Practice

Simplifying Expressions

100

(9-|7|) x 8

16

200

-8 / ((-3)+|-5|)

-4

300

2/5 / (11/6 - 3/2)

6/5, 1 and 1/5, 1.2

400

hj-|8h|, when h=-4 and j=-10

8

500

xy / y(-7+y), when x=4 and y=-1/5

-5/9

Evaluating Expressions

100

q-(m-p) when m=-4, p=-4, and q=2

2

200

m(n-m^2), when m=-3 and n=1

24

300

q / (p+p), when p=1/6 and q=1 and 1/3

4

400

x^3+yz, when x=-3, y=4, and z=-10

-67

500

3(y+x)+y^2, when x=5 and y=-9/5

321/25, 12.84, 12 and 21/25

Solving Equations

100

9x=19

x=19/9, 2.1, or 2 and 1/9

200

2x-5=17

x=11

300

-22-9b=2-7b

b=-12

400

-144=-6a-7(a+2)

a=10

500

-6(-4n+12)=-1-7(1-8n)

n=-2

Word Problems

100

Write the algebraic equation for this sentence.

"Eight times the sum of 3 and x is -24"

8(3+x)=-24

200

The length of a swimming pool is 2 more than the width. What is the simplified expression to represent the perimeter of the pool? Be sure to define your variable.

2x+4, x=width

300

Seven golden delicious apples cost $4.13. How many apples can you buy for $12.39?

21 apples

400

The length of a soccer field is 8 more than twice the width. What is the length and width of the garden if the perimeter is 124 ft?

18 ft by 44 ft

500

In order to move onto Honors Geometry next year you must pass with an 80%. If you earn a 85% in first marking period, 89% in second marking period, and 75% in third marking period, what grade would you need fourth marking period to pass with an 80%? Be sure to define a variable.

71%, x=fourth marking period grade