Download Assignment

Algebra Review
1. Solve 2x – 3 = 5x + 9
Name: _________________________
2. Simplify 4x + 5(2x – 3)
3. Simplify -3(2x – 6)
4. Find the slope of the line through the points (1, 3) and (4, 7). Remember m 
y2  y1
x2  x1
5. Find the rate of change of the line that contains (-1, 6) and (-1, 2). Remember m 
6. Find the slope of the line that contains (2, 0) and (9, 0). Remember m 
y2  y1
x2  x1
y2  y1
x2  x1
7. Write an equation of the line that passes through the points (2, 4) and (4, 0).
8. Express the area of the rectangle below.
4x12y3
(x6y4)22
9. Simplify (x2 + 5)(x – 4)
10. Simplify (x – 3)(x – 14)
11. Simplify y3y5y
12. Simplify
x 2 y 2 z
(3xy 2 )3
14. Graph the line 3y = 6x – 15
13. Simplify
2 x8 y 2
( x 2 y 4 )3
15. What is the rate of change of the graph below?
Solve each of the following systems of equations.
16. elimination
17. substitution
3x + 5y = 1
4x – 2y = 6
3x + 2y = 4
x = 2y – 3
18. substitution
19. elimination
4x – 2y = -6
2x + 4y = 8
y = 3x + 2
-2x + 6y = 2
Factor the following:
20. x² + 5x + 4
21. x² – 6x + 8
23. Find the perimeter and area of the
rectangle provided the dimensions below.
22. 2x² – 10x – 72
24. Find the perimeter and area of the square.
2x + 5
Length = x + 6
Width = x + 4
25. A rectangle has an area given by the trinomial x2 + 7x + 6. Find the length and width of the rectangle.
26. Jose has 18 coins in quarters and nickels. The total value of the coins is $2.90. How many of each kind does
he have? Write a system and solve.
27. Mike bought 14 movie tickets (some were student tickets and some adult tickets). Each adult ticket cost $6,
each student ticket cost $4, and altogether he spent $68. Write a system of equations to solve for the number of
adult tickets and the number of student tickets. Solve.
Key
1. -4
2. 14x – 15
3. -6x + 18
4. 4/3
5. undefined
6. 0
7. y = -2x + 8
8. 4x144y91
9. x3 – 4x2 + 5x – 20
10. x2 -17x + 42
11. y9
12. 27xy8z
2x 2
13. 10
y
14. check in calculator
15. m = 0
16. (2, -1)
17. (3, 3)
18. (1, 5)
19. (2, 1)
20. (x + 1)(x + 4)
21. (x – 4)(x – 2)
22. 2(x – 9)(x + 4)
23. 4x + 20 ; x2 + 10x + 24
24. 8x + 20 ; 4x2 + 20x + 25
25. (x + 1)(x + 6)
26. 8 nickels, 10 quarters
27. 6 adult tickets, 8 student tickets