Download Solving Inequalities

Name: ___________________________
Based on the results of your chapter 5 indicator,
the following skills and concepts need to be
remediated in preparation for your chapter
assessment.
Skills
Worksheets
to be
completed
Solving Equations
Absolute Value
Solving Inequalities
Graphing Solutions
Writing Algebraic
Expressions/Equations/
Inequalities
Evaluating Expressions
This will be put in as a formative assessment
grade. All Worksheets must be completed with
work shown.
Solving Equations
Solve each equation.
1. 4y – 6 = 2y + 8
4.
3
2 x  1  2
4
2.
5.

4 2x  5

7
x 8
3.
1
3
 2m  m 
3
2
6.
7.
 8 7  3x  24
8.  4 9 x  5  12  24
10.
x2 + 4 = 13
11. 5x2 = -30
12.
5x + 8 = 5(x + 2) – 2
13.
2
3
 t
3
5
7 x  8  5x
9.
4(2x – 1)2 + 7 = 43
Absolute Value
Solve each equation.
1. |13 + 2x| = 5
2. 5|3 + 7m| + 1 = 51
3. 5 + 8|-10n – 2| = 101
4.
5.
7.
1
| 6 x  5 | 7
3
3x  2
2x  3

2
3
6. -6|2x – 14| = 42
8.
Solving Inequalities
Solve each inequality.
1. 3 < 2x + 11< 17
2. 5v + 10 < -4v – 17 < 9 -2v
4. 5x – (x + 2) < -5(1 + x) + 3
5. 7v – 5 > 65 or -3v – 2 > -2
6. 8x + 8 > -64 and -7 – 8x > - 79
7. |7x + 4| > 74
9.
3 r
7
5
10. |x + 5| < 9
3. 8x < 1 or x – 9 > -5
8. 8 + |4v – 7| > 17
11. |10 + 4x| < 14
Graphing Solutions
Graph each inequality on the number line.
1. x > 6
2. -7 < x
3. x > 6 or -2 > x
4. x > 6 and -2 > x
5. x > 0 and x < 0
6. x < -3 or x > - 5
7. 6 < x < 10
8. -4 > x > -7
9. x > 7 and x > 10
Writing Algebraic Expressions, Equations, and Inequalities
Define a variable. Write an equation or inequality. Answer each of the questions.
1. You already have $47. You plan to save $15 per week from your allowance to buy a snowboard for $400.
How many weeks will it take?
2. The width of a rectangular crib is 12 inches less than the twice the length. If the perimeter is 96 inches, find
the area of the crib.
3. Ten less than twice a number is 26. Find the number.
4. Find three conseuctive odd integers whose sum is 105.
5. The height limit to go on a roller coaster ride is 50 inches to 78 inches.
a Write this as a compound inequality.
b. Write this as an absolute value inequality.
6. The charity that you volunteer for is selling potted daffodils in the spring to raise money. The charity has
spent $250 on supplies and plans to sell them for $5 each.
a. Write an inequality that gives the possible numbers d of daffodils the charity needs to sell in order for the
profit to be positive.
b. What are the possible numbers of daffodils the charity needs to sell in order for the profit to be positive?
c. If the charity sold 55 daffodil bulbs, are they able to make a profit? Explain.
7. At the Brooks Graphic Company, the average starting salary for a new graphic designer is $37,600, but the
actual salary could differ from the average by as much as $2590.
a. Write an absolute value inequality.
b. Solve the inequality to find the range of starting salaries.
Evaluating Expressions
Evaluate each expression.
1. h + j(j – h); use h = 2 and j = 6
2. (b – 1)2 + a2; use a = 6 and b = 1
3. y(x – (9 – 4y)); use x = 4 and y = 2
4. j(h – 9)3 + 2; use h = 9 and j = 8
5. p2 +4 – m; use m = 3, and p = 4
6. x(y +3)2; use x = 4 and y = 9
7. qp + q – p; use p = 7 and q = 3
Answers
Solving Equations
Absolute Value
Graphing Solutions
Writing Algebraic Expressions, Equations, and
Inequalities
Evaluating Expressions
Solving Inequalities