Algebra- Unit 2 Review

Multi-Step Equations

100

-12x + 8 + 5x = 36

x = -4

200

8k - (6k - 4 ) = 10

k = 3

300

13w - 2(4w + 1) = w - 58

w = -14

400

9(m + 5) - 3(m - 2) = 8m +31

m = 10

500

-5(x - 3) - 2x = 46 - 4(x + 1)

x = -9

Literal Equations

100

I = prt

Solve for t

t = I / pr

200

Ax + By = C 

Solve for y

y = (c - Ax) / B

300

r = 4/3 (p - q)

Solve for p

p = 3/4 r + q

400

A = P + Prt

Solve for t

t = (A - P) / Pr

500

m + 2n² = 7m

Solve for n

n = _{+ or -} Square root 3m

Translating English to Math

100

The difference of a number and 7

n - 7

200

Three less than twice a number.

2n - 3

300

Twice a number divided by 6 is 42.

2n / 6 = 42

400

A number no less than 25

n ≥ 25

500

One less than the product of a number and 3 is 5 more than the number itself.

3n - 1 = 5 + n

Word Problems

100

The larger of two numbers is four more than the smaller number. If the sum of the numbers is 74. Find the Numbers.

35 and 39

200

The highest score on an Algebra test was 42 points more than the lowest. When added together, the lowest and highest score was 154. Find both the highest and lowest scores. (Must show equation, no quest-and-check)

56 and 98

300

The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions.

3 in and 9 in

400

If the sum of two consecutive numbers is 85, find the numbers. (Must show equation)

42 and 43

500

The sum of three consecutive odd numbers is 57. What are the three numbers? (Must show algebraic equation)

17, 19, 21

Inequalities(Solve, graph, and interval notation)

100

3x + 1 < 10

(Show inequality and number line) 

x < 3

(-∞ , 3)

200

4 - (x/7) ≤ 5

x ≥ -7 

[-7 , ∞)

300

3x - 7(x + 3) < -13

x > -2

(-2, ∞ )

400

-2x + 6 ≥ 3x - 34

x ≤ 8

(-∞ , 8 ]

500

5x - (x - 2) ≥ 2x - 4(x - 8)

x ≥ 5

[5, ∞)