Algebra 1 - Inequalities

Addition and Subtraction

100

x - 7 > 3

{x|x>10}

200

- 13 > w + 12

{w|w < -25}

300

The sum of two consecutive integers is at most 7. What is the largest possible value for the lesser integer?

3

400

The sum of two consecutive integers is at most 3. What is the greatest possible value for the greater integer?

2

500

You and your friend are planning to walk across an old bridge that can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds. Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

x < 169

Multiplication and Division

100

t/-2 > 4

{t|t < -8}

200

-3.5z < 42

{z|z > -12}

300

Pete's grade on a test was within 5 points of his class average of 94. What is his range of grades on the test?

89 < or = g < or = 99

400

b/8 > -1/5

{b|b > -1 3/5}

500

-3m < -18

{m|m > 6}

Compound Inequalities

100

5t + 8 < or = 3t - 3

{t|t < or = -5.5}

200

1.9 + 1.7x < 2.1(3 + x)

{x|x > -11}

300

3(-w - 6) < 2(2w + 8) + 1

{w|w > -5}

400

Solve AND graph the solution set: w/3 < 1 OR 3w + 5 > 11

{w|w is a real number} Graph of a line showing all real numbers.

500

2 + 3x > 8 OR 4 - 7x < or = -17

{x|x > 2} open circle over 2 on the number line, arrow pointing to the right (increasing positive numbers)

Absolute Value

100

Graph the solution set: |x - 2| > or = 3

Filled in circle over -1, pointing to the left, filled in circle over 5, pointing to the right.

200

What is the solution set of |2x - 3| > 4?

{x|x < -0.5 or x > 3.5}

300

Solve and Graph: |2x - 5| < 3

{x|1< x < 4}

400

Solve and Graph: |z + 4| > or = 7

{z|z < or = -11 OR z > or = 3} filled in circle over -11, pointing left, filled in circle over 3, pointing right.

500

5|-p+2| + 4 > 4

All real numbers

Mixed Bag

100

Which famous Singer/Songwriter is always working 9 to 5

Who is Dolly Parton

200

Solve for T (Fully Simplify)

2T + 6X = 16

T = 8 - 3x 

300

Solve for x:

2x + 3 = -3(x-1)

x = -6/5

400

Where did Mr. Boyce go to College?

Campbell University

500

Nasa first landed on the moon in the famous Apollo 11 mission. There were 17 total Apollo missions. Although they landed on the moon on 11, which mission did they first travel to the moon? 

Apollo 8