Algebra 1 Test 1 Review

Write the Algebraic Expression

100

Four times a number plus 8 is 15.

4x + 8 = 15

200

The sum of six and a number is 23.59.

6 + n = 23.59

300

The sum of five times a number x and three is the same as fifteen

5x + 3 = 15

400

Twice a number is equal to 3 less then four times that number.

2x = 4x - 3

500

The number of Kit Kat candy bars divided by 20 students is 2.17.

K/20 = 2.17

Solving Equations with Variables on Each Side

100

2 + 5k = 3k - 6

-4

200

5a + 2 = 6 - 7a

1/3

300

8a - 10 = 3 (6-2a)

2

400

4x - 3 = -5(x + 1)

-2/9

500

1/2x + 1 = 1/4x - 6

-28

Ratios and Proportions

100

A comparison of two numbers, sometimes written as a fraction.

Ratio

200

An equation stating that two ratios are equal.

Proportion

300

(x-2)/14 = 2/7

Solve for x.

x = 6

400

(x + 1)/4 = (x + 5)/3

Solve for x

-17

500

(x + 4)/6 = (x -5)/9

Solve for x.

-22

Inequalities

100

< represents what?  Is it an open dot or closed dot?

Less than

Open dot

200

> represents what?  Open or closed dot?

Greater than.  Open dot.

300

x - 12 > 8

x>20

400

2w + 6 < 34

w < 14

500

2(h + 6) > -3(8 - h)

h < 36

Literal Equations

100

Solve for M

4M - 3n = 8

(3n + 8)/4

200

Solve for n:

15 = 3n + 6p

(15 - 6p)/3

or (-6p + 15)/3

or -2p + 5

300

Solve for t

28 = t(r + 4)

t = 28/(r + 4)

400

(k-2)/5 = 11j

Solve for j

j = (k-2)/55

500

Solve for q

a(q - 8) = 23

q = (8a + 23)/a