Simplify And Evaluate SolvingInequalities Absolute Value Word Problems

5 + 3 × 4 ÷ 2

11

8 – 11(3 – 4x) – 7(5x – 9)

9x + 38

-3(x 2 – 2) – 2(2x 2 – 1)

-7x 2 + 8

Evaluate if x = -1 and y = 3 -4xy + 2x 2

14

Evaluate if a = -3, b = 2, and c = -1 2a 2 – (4b + c)

11

Solve for “k” k + m = w h

k = wh - m

Solve for “h” SA = 2  rh + 2B

SA – 2B 2∏r

y = x 2 + xz Solve for z:

5(y – x 2 ) x z =

k = 5 {5}

3(x + 2) = 8(x – 1) +5

x = 9/5 {9/5}

Solve and Graph -5y + 6 ≤ 26

y ≥ 4 Graph: closed circle on 4, shaded to the right.

Solve and Graph 2(x – 4) < 8

x < 8 Graph: open circle on 8, shaded to the left.

Solve and Graph 4 – x < 2x + 1

x > 1 Graph: open circle on 1, shaded to the right.

Solve and Graph –16  -3x + 8  -7

8 > x > 5 Graph: open circles on 5 and 8, shaded in between.

Solve and Graph -2 > x + 1 OR 2x > 6

x 3 Graph: open circle on -3 and shaded left; closed circle on 3 and shaded right.

Solve.

k = 3 ; k = -4 {3, -4}

Solve. | ½ x – 3| = 4

x = 14 or x = 2 { 14, 2}

Solve. |3x + 3| > 9

x > 2 or x < -4 Graph: open circle on 2 and shaded right; open circle on -4 and shaded left

Solve and Graph |4 – 2x| > 8

x 6 Graph: Closed circle on -2 and shaded to the left. Closed circle on 6 and shaded to the right.

Solve and Graph | 4x – 5 | < 5

0 < x < 5/2 Graph: open circle on 0 and 5/2 (between 2 and 3); shaded in between.

You have $120 to purchase soda for a party. Each case of 24 bottles costs $5.99. Assuming there is no sales tax, how many cases can you purchase?

5.99x = cases

A bag of lawn fertilizer claims that it will cover 5000 square feet of grass. If your yard is 27,500 square feet, how many bags of fertilizer will you need?

5000x = 27,500 6 bags

Jane’s cell phone plan is $40 per month plus $.15 per minute for each minute over 200 minutes of call time. If Jane’s cell phone bill is $58.00, for how many total minutes did Jane have for her last bill?

x = minutes!! ( did you remember to add the “free” 200 minutes to your answer?)

A book club promises to send you 8 books for $1, if you join the club. After you receive the 8 books, you may select more books at a rate of $19.99 per book. If you spend a total of $80.96, how many extra books did you purchase?

19.99x = extra books

Tickets for the DMB concert are $29.95 each (lawn seats!). Your family and a friend of yours go to the concert. There are five people in your family including yourself. How much will it cost for all of you to go?

5(29.95) = total cost family of friend = total cost $179.70