Pre-Algebra Chapter 1 Review

One Step Equations

100

x + 15 = 22

x = 7

200

f - 17 = 31

f = 48

300

r + 68 = 35

r = -33

400

3y = -63

y = -21

500

h/-5 = -9

h = 45

Multi-Step Equations

100

4v -7 = 37

v = 11

200

x + 0.5x = 3

x = 2

300

3k - 1 = 7k + 2

k = -3/4

400

1/4t + 3 = 3/4t

t = 6

500

2(5z - 2) -2z = 4(z+5)

z=6

Literal Equations

100

Solve for y.

y - 9 = 2x

y = 2x + 9

200

Solve for b.

S = b + 4w

b = S - 4w

300

Solve for h.

A = 1/2bh

h = 2A/b

400

-2x + 3y = 12

y = 2/3x + 4

500

6x + 2/3y = 10

y = -9x + 15

How many solutions?

100

2x + 3 = 3x -5

One solution

200

2a + 4 = 2(a + 2)

Infinitely Many Solutions

300

5d - 3 + 2d = 2 + 7d

No Solution

400

q - 1 = - (q - 1)

One Solution

500

1/3(9x - 12) = 3 + 2x - 7 + x

Infinitely Many Solutions

Word Problems

100

Find the perimeter of the regular polygon (see picture).

p = 20 units

200

In a field hockey game, 1/5 of the players on Team A and 1/8 of the players on Team B score a goal.  A total of 3 players on Team A and a total of 2 players on Team B score a goal.  How many players on each team?

Team A has 15 players

Team B has 16 players

300

A rectangle is 10 feet long and 5x feet wide.  The value of the perimeter in feet is equal to the value of the area.  Find x.

x = 1/2

400

Find the measure of each angle in the triangle.

75, 40, 65

500

What is the area of each circle?

A = 144pi units²