Algebra Chapter 1 Review

Vocabulary

100

Multiplication property of Equality

when we multiply both sides of an equation by the same number, the two sides remain equal

200

Division Property of Equality

divide both sides of an equation by the same non-zero number, the two sides remain equal.

300

Inverse

Opposite

400

Literal Equation

Equations with more than one letter. This may be an equation made entirely of letters.

500

Formula

A mathematical relationship showing how variables relate to one another

Solving simple Equations

100

x - 2 = 4

6

200

(5/6) = (1/3) + d

(1/2)

300

6 = (-w/8)

-48

400

4pi d = 20pi

5pi

500

For a Triangles with angles measuring 42 degrees, 88 degrees and x, find x.

50 degrees

Solving Multi-step Equations

100

19 - 4c = 17

c = 1/2

200

5 + 1.5 (2d -1) = (1/2)

d= -1

300

For a rhombus with angles a, 2a, 2a, and a, find the measurement of each angle.

A rhombus will always add up to 360 degrees

60, 120, 120, and 60

400

21(2-x) + 12x = 44

-2/9

500

For a 5-sided figure with angles measuring b, (3/2)b, b+45, 2b-90, and 90, find b

5-sided figures always have internal angles adding up to 540

b = 90

Variables on Both Sides

100

12(3w - 3) = 6w

w =2

200

3(g - 7) = 2 (10+g)

g = 41

300

5(p+6) = 8p

p =10

400

6 (5 - 2v) = -4 (3v + 1)

no solution

500

1.8 + 7n =9.5 - 4n

n= 0.7

Rewriting Equations

100

P = 2w + 2L, solve for w

w= (P-2L)/2

200

A = 1/2 bh, solve for h

h= 2A/b

300

C = (5/9) (F - 32), solve for F

F = (9/5)C + 32

400

If A=1/2 bh, and the area of a triangle is 54 inches with a base of 12 inches, what is the height

9 inches

500

S = 2(pi)r² + 2(pi)rh, solve for h

h = (s-2(pi)r²) / (2(pi)r)

Misc.

100

What is Mr. DeVille's favorite EPL, MLS, and International teams?

Arsenal, Timbers, France

200

What is Mr. DeVille's son's names?

Francis, Patrick, Nicholas

300

How old is Mr. DeVille?

36

400

What is Mr. DeVille's favorite color?

Teal

500

What is my favorite sport?

Soccer