3rd Quarter Review

Expressions

100

Simplify the expression: -3x - 6x

-9x

200

Simplify the expression: -8(2x + 5)

-16x - 40

300

Factor the expression: 20x - 72y

5x - 18y

400

Simplify the expression: -x + 9(-2x - 5)

-19x - 45

500

Simplify and then Factor the expression: -3(x + 2) - 12(2 - x)

3(3x - 10)

Equations

100

Solve for x: 3x = 6

x=2

200

Solve for x: -3 = x/14  

x = -42

300

Solve for x: 8x + 17 = 13

x = -0.5 or x = -1/2

400

Solve for x: 2/3x - 1 = 25

x = 39

500

Solve for x: -29 = 7(x + -3)

x = -8/7 or x = -1.14

Inequalities

100

Solve for x: 3x > 18

x > 6

200

Solve for x: -8 > x - 8

0 > x

300

Solve for x: 1 < -x/6

-6 > x

400

Solve for x: 55 > -7x + 6

-7 < x

500

Solve for x 12 < 10 + (x/-9)

-18 > x

Scaling

100

The coach represented a 63 meter sprint as a straight line on paper. If the drawn line was 14 inches long, then how many meters did each inch represent?

4.5 m

200

A house blueprint has a scale of 1in: 4ft, what is width and length of the actual living room if the blueprint is 4in by 5in?

16ft by 20ft

300

Given a scale where every 3 ft is 4 inches on a drawing, how many feet are there for each 1 inch?

3/4 ft : 1 in

400

There is a blueprint of a mural that is 28 in by 11 in. The scale is 2 in: 3ft. What is the AREA of the actual mural in ft?

693 ft²

500

In a scale drawing of a room 6 ft² by 14 ft², what would the area of the room be in square yards?

9 1/3 yd²

Angles and Circles

100

If you are given the diameter of a circle, how do you find the radius?

You divide the diameter in half or divided diameter by 2.

200

When two lines intersect, what is the name of the angles created across from each other?

Vertical Angles

300

How many degrees are in a complementary pair of angles?

90⁰

400

Find the circumference and area of a circle with a diameter of 8ft. Round to the nearest tenth.

C = 25.1, A = 50.3

500

Find the circumference of a semi-circle when given a diameter of 21 cm. Round to the nearest whole number. 

54 cm