INEQUALITIES
1. Solve the inequality
-2(5 + 6n) < 5(8 - 2n)
2. Draw the number line that represents the solution this inequality
-4x - 3 ≤ 9
1
7
5
5
3. What is the solution to the inequality (4𝑥 + 10) ≥ (𝑥 + 5)
4. 2(x - 1) ≤ 2 (x - 2) + 6
5. 12 > 4 – 3(x – 1 )
6. 10 < -2.5(2x + 10) + 15
7. 5 + 3x ≤ -22
8. -4x – 7 ≥ x – 3
SIMPLIFYING EXPRESSIONS
1.
(2x² + 5xy + 3y²) + (5x² - 7y²)
2. –x + 2 – 2(x–1)
3. -6x – 7(4+3x)
4. 5(x-3) + 4(x-2)
5. 7 – (x + 2)
6. 9 – 2x – 4 + 8x – 5
7. 13( 9w + 18)
8. 12(2x – 8 )
+ 4x - 6
Perimeter
1.
8
3(x + 2)
2.
2x+ y
3x – y
5y – 3
3. Given a rectangle with length 3x - 5 and width is 2x + 1. If the perimeter
is 22, what is the value of x? What is the length? What is the width?
4. The width of a rectangle is 12x+10. The length is 2(x - 1). The perimeter
is 156 cm. Find the width and length.
5. The perimeter of a rectangular pen is 136 meters. If the length is 5
meters more than twice the width, what are the dimension of the pen?
6.
7.
8.
Arithmetic Sequences
1. Write the next three terms of the sequence 5, 11, 17, 23...
2. Find the 12th term of the sequence 5, 11, 17, 23...
3. Write the next three terms of the sequence
2, -4, -10, -16...
4. Write the Recursive form of the sequence 5, 7, 9, 11...
5. Write the Explicit form of the sequence 5, 7, 9, 11...
6. Write the 7th term of the sequence 8, 5, 2, -1
7. Write the explicit and recursive form of the sequence
2, 8, 14, 20
8. Given An = 5 – 3(n-1), write the first 4 terms of the sequence
EQUATIONS
1. If (x, –2) is a solution to the equation –2 (5x – 3y) = 38, find x.
1
2. If (6, y) is a solution to the equation (4x – 34 ) = –x – 2y, find y.
2
3. If (x,3) is a solution to the equation –6y = 5(–0.7x – 22), find x.
4.
5.
6.
7.
8.
DOMAIN AND RANGE
1. Given f(x) = 3x + 2 with domain {2, 4 , 5, 6}, find the range.
2. Given g(x) = 2x – 5 with range {11, 9, 5, 1}, find the domain.
3. Given the following table, identify the domain and range.
x
-2
-1
0
1
Y
3
4
5
6
For 4-8, find the domain and range of each.
4.
6.
5.
7.
8. {(1, -2), (3, -4), (5, -6), (7, -8)}
Literal Equations
1. ax + by = c
solve for y.
2. V = LWH
solve for L.
3. 7x – y = 14
solve for x.
4. 12x – 4y = 20
solve for y.
5. 𝐴 = 𝜋𝑟 2 h
solve for h.
6. A = 2 (L + W)
solve for w.
7. 𝐴 =
a+b+c
3
8. -2x + 3y = 12
solve for b.
solve for x.