Algebra 1

Operations and Absolute Value

100

A {2, 4, 6, 8, 10, 12}

Subset that is a multiple of 4

B {4, 8, 12}

200

Order from least to greatest: 3.5, 10/3, sqroot(14)

10/3, 3.5, sqroot(14)

300

|x| - 4 = 9

x = -13, 13

400

|-2x + 8| = 20

x = -6, 14

500

2 (less than or equal to) |x| - 8

x (less than or equal to) -10 or x (greater than or equal to) 10

Solving Linear Equations

100

-4x + 3x = 2

x = -2

200

10(5 - n) - 1 = 29

x = 2

300

(1/2)x + 2 = 1

x = -2

400

Sum of 3 consecutive even integers is 108

34, 36, 38

500

Jacinta buys 8 pounds of turkey and 2 pounds of ham. She pays a total of $28, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?

ham = $4, turkey = $2.50

Equations with variables on both sides

100

5x - 4 = 4x

x = 4

200

5(n - 7) = 2(n + 14)

n = 21

300

6y - 8 = 2(3y - 4)

identity (infinite solutions)

400

5(5x + 1) = 25x - 7

no solution

500

3y = [(8-12y)/4] + 2

y = 2/3

Inequalities

100

-3x > 15

x < -5

200

(1/4)x > 1/2

x > 2

300

2(7x - 2) > 9x + 6

x > 2

400

(3/4)x + (3/4) - (1/2)x (greaterthanorequalto) -1

x (greaterthanorequalto) -7

500

Charlie can spend $8 on lunch. He buys a tuna sandwich for $4.25, apple juice for $2.25, and wants to buy x pounds of potato salad at $4 per pound. How much potato salad can he buy?

At most 0.375 pounds

Compound Inequalities

100

2x - 5 > 3 or -4x + 7 < -25

x > 4

200

8x + 3 > -13 and 2x + 6 < 16

-2 < x < 5

300

-x + 1 > -2 or 6(2x - 3) (greaterthanorequalto) -6

all real numbers

400

-x + 1 > -2 and 6(2x - 3) (greaterthanorequalto) -6

1 (lessthanorequalto) x < 3

500

Write a compound inequality: A quantity x is at least 10 and at most 20. 

x (greaterthanorequalto) 10 and x (lessthanorequalto) 20, 10<x<20