Alg Summer Test Review

Evaluate & Simplify Expressions

100

Evaluate if x = 2, y = -4, z = 6:

x - yz

2 - -4(6)

2 - -24

2 + 24

26

200

Evaluate if x = 2, y = -4, z = 6:

(x - z)²

(2 - 6)²

(-4)²

(-4)(-4)

16

300

Evaluate if x = 2, y = -4, z = 6:

(y + x)/(z)

(-4 + 2)/6

-2/6

-1/3

400

Simplify: 4x - 4x

0

500

Simplify:  -9(1 - 2x) + 4

-9 + 18x + 4;  18x - 5

Solve Equations & Inequalities

100

3 - a = 2

-1a = -1;  a = 1;  {1}

200

-5(2 + 3x) = -85

2 + 3x = 17;  3x = 15;  x = 5;  {5}

300

Translate into an equation, do not solve:

At Chick-Fil-A, 3 people ordered kids' meals and milkshakes.  If the milkshakes cost $4.99 each, and if the total was $37.74, what was the cost of one kids' meal?

x = cost of kid's meal; 

3(x + 4.99) = 37.74

400

Graph:  -15 > x

Read is as... x < -15, x is less than -15; open circle on -15, shading to left

500

Solve and graph:

x/(16) > -17

x > -272; x is greater than -272; open cirlce on -272, shading to right

Proportionality

100

Mabel bought 1 package of strawberries for $3.  How many can Dion buy with $12?

1 pack/$3 = x packs/$12 ; x = 4 packages

200

Find the unit rate: 140 miles in 2 hours

70 miles per hour (in 1 hr)

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

Simplify Complex Fractions

100

2/((1/4))

8

200

(1/4)/(2)

1/8

300

(1 5/6)/(5/9)

33/10

400

(1 1/3)/(1/4)

16/3

500

(4 2/3)/(2)

7/3

Geometry

100

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

A = 2(7) = 14 cm²

200

Find the area of a square with a side length of 5 yd.  (A = s²)

A = 5² = 5(5) = 25 yd²

300

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

V = 3(4)(5) = 60 m³

400

If the perimeter of a square is 48 inches, what is one side length?  (P = add all sides)

48 = 4x --> x = 12 in.

500

If the volume of a rectangular prism is 36 ft³, the length is 2 ft, and the height is 6 ft, find the width.  (V = LWH)

36 = 2(6)x --> 36 = 12x --> x = 3 ft