Algebra Ch. 2 Test

Writing Equations

100

Convert to an equation:

Three times a number t minus twelve equals forty.

3t - 12 = 40

200

Translate the equation into a sentence:

4a - 5 = 23

Five less than four times a is twenty-three

300

Translate the equation into a sentence:

6xy = 24

The multiplication of 6, x, and y is 24

400

Translate the sentence into an equation:

The sum of the square of a and the square of b is the square of c

a² + b² = c²

500

Convert to an equation:

The area A of a circle is the product of pi and the radius r squared

A = π r²

Solving Equations

100

Solve the equation:

j/3 = 3

j = 9

200

p/5 = -1/4

p = -5/4

300

Solve the equation:

g/-5 + 3 = -13

g = 80

400

Solve the equation:

5y - 2y = 3y + 2

No Solution

500

Solve the equation:

3(a + 1) - 5 = 3a - 2

All Real Numbers

Equations w/ Absol. Value

100

If q = -1.5 and r = -3, Solve the inequality:

|2q + r|

6

200

If n = 2 and v = -8, Solve the inequality:

10 - |2n + v|

6

300

Solve the equation, then graph your solution:

|b + 2| = 3

b = 1 and b = -5

400

If n = 2, q = -1.5, r = -3, and w = 4.5, Solve the inequality:

3|w - n| - 5|q - r|

0

500

Solve the equation, then graph your solution:

|3x + 1/2| = 6

x = 11/6    and   x = -13/6

Ratios & Proportions

100

Determine whether the ratios are equivalent:

1/2 = 16/32

yes

200

Determine whether the ratios are equivalent:

14/12 = 20/30

No

300

Solve each proportion:

-3/x = 2/8

x = -12

400

Solve the proportion:

x + 1 /4 = 3/4

x = 2

500

Solve the proportion:

a - 18 / 12 = 15/3

a = 78

Literal Equations

100

Solve for x: 

ax - b = c

x = c + b / a

200

Solve for x: 

15x + 1 = y 

x = y - 1 / 15

300

Solve for x: 

(x + f) + 2 = j

x = (j - 2) - f

400

Solve for h:

V = π r² h

h = V / π r²

500

Solve for F:

C = 5/9(F - 32) 

F = 9/5C + 32