Solving Linear Equations Review

Square Roots and Real Numbers

100

What is the approximate square root of 132?

11

200

NO CALCULATORS Approximate the square root to the nearest tenth: Square root of 200

about 14.1

300

NO CALCULATORS What is the square root of 361?

19

400

How many perfect square numbers are there from 1 to 1000?

31

500

Order the numbers from least to greatest and tell whether each number is a real number, rational number, irrational number, integer, or a whole number. -8.3, -(square root of 80), -17/2, -8.25, -(square root of 100)

-(square root of 100) integer -(square root of 80) irrational -17/2 rational -8.3 rational -8.25 rational

Solve Equations

100

5x = –25

x = -5

200

4.7x - 2.5 + 2.7x = 12.8 - 1.6x

x = 1.7

300

4(2x + 3) = 6(2 - x)

x = 0

400

2(3x + 2) = (0.5)(12x + 8)

Identity

500

a(2x + 3) = 8x + 12 For what value of a is the equation an identity?

When a = 4

Solve More Equations

100

3x – 8 = 16

x = 8

200

(2/3)(4x – 1) = – 22

x = -8

300

2 - 15x = 5(-3x + 2)

No Solution

400

14 - 0.2(x - 10) = 0.4(25 + x)

x = 10

500

0.125(5x + 64) = 0.25(20 + 2x)

x = -24

Solve Proportions

100

x/15 = 2/5

x = 6

200

(x+8)/3 = (2x + 4)/(5)

x = 28

300

2/-3 = (4x + 4)/(2x + 14)

x = -2.5

400

(16.5 + 3x)/3 = (0.9 - x)/-5

x = -7.1

500

(3 + x)/x = (5 + 2x)/2x

x = 0

Rewrite Equations

100

Write the equation so that y is a function of x: 12 = 9x + 3y

y = -3x + 4

200

Write the equation so that y is a function of x: 2 + 6y = 3x + 4

y = 1/2x + 1/3

300

The surface area of a prism is S = 2B + Ph Solve for h

h = (S - 2B)/P

400

Solve the equation for y. ay + c = by

y = -c/(a - b)

500

Solve for a. x = (a + b + c)/(ab)

a = (b + c)/(bx - 1)