Pre-Alg Summer Test Review

Operations (no calc)

100

-2 - 5

-7

200

-6 + 5

-1

300

-2 - (-2)

0

400

-8(-1)(10)

80

500

-48/4

-12

Order Operations

100

-5 - 2(4)

-5 - 8

-13

200

5(3 - 6)

5(-3)

-15

300

(-2+3*2)/(2^2)

4/(4)=1

400

6/(-1- (-2))

6/(1)=6

500

Simplify this algebraic expression:

10 - 17x + 13 - 6x

-17x - 6x + 10 + 13

-23x + 23

Expressions, Equations &Inequalities

100

Graph the inequality on a number line: x > 3

x is greater than 3 --> Filled in point on 3; shading to right

200

Translate into an expression (no = sign):

A number less 6

Let n = a number;

n - 6 (different from "a number less THAN 6")

300

Translate into an equation (don't solve):

3 more than twice a number is 9.

Let n = a number;

3 + 2n = 9  or  2n + 3 = 9

400

Solve:

6 + x/(2) = 20

Subtract 6 on both sides; multiply by 2 on both sides; ...

x = 28

500

Solve and graph the solution:

4x - 7 < 5

Add 7 to both sides; divide by 4 on both sides; ...

x < 3;

x is less than 3-->Open point on 3; shading to left

Geometry

100

Find the area of a rectangle with length 2 cm and width 7 cm.  (Area rectangle = LW)

Area = 2(7) = 14 cm²

200

Find the area of a square with side length 5 yd.  (Area square = side²)

Area = 5(5) or 5² = 25 yd²

300

Find the volume of a rectangular prism with length 3 m, width 4 m, and height 5 m.  (Volume rect. prism = LWH)

Volume = 3(4)(5) = 60 m³

400

If the perimeter of a square is 48 inches, what is one side length?  (Perimeter square = 4*side)

48 = 4x --> x = 12 inches

500

If the volume of a rectangular prism is 36 ft, the length is 2 ft, and the height is 6 ft, find the width.  (Volume rect. prism = LWH)

36 = 2(6)x ;  36 = 12x --> x = 3 ft

Proportionality

100

Mabel bought one package of strawberries for $3.  How many can Dion buy if he has $12? 

1 pack/$3 = x packs/$12 --> x = 4 packages

200

Find the unit rate: 140 miles in 2 hours

70 miles per hour (or in 1 hour)

300

Proportional or not? (1, 4), (2, 8), (3, 12), (4, 16)

Yes, proportional; y = 4x

400

Proportional or not?  (1, 4), (2, 6), (3, 8), (4, 10)

No, not proportional; y/x not always same

500

(1 1/(2))/3 = (x)/6

x = 3