Download DSPM Final Exam Review: Factoring, Solving Equations, and Graphing and more Exams Algebra in PDF only on Docsity!
DSPM 0800 FINAL EXAM REVIEW
Factor out the greatest common factor.
24m 9 - 60m 6 - 72m 3
32m 8 + 12 m 5 + 20 m 3
Factor by grouping.
15a^3 + 10 a^2 b + 18 ab^2 + 12 b^3
r 3 + r 2 + 5r + 5
Factor completely.
x^2 - x - 72
x^2 - 6x - 55
x^2 + 2 xy - 15y^2
x^2 + 13 x + 14
12y^2 + 17 y + 6
15x^2 + 22 x + 8
18x^2 - 78x - 60
10x^2 - 35x - 20
49x^2 - 64
4y^4 - 81
Solve the equation.
x^2 - x = 90
5x^2 - 30x + 40 = 0
15m^2 - 9m = 0
9y 2 + 12 y + 4 = 0
4k^2 - 64 = 0
21n 2 + 63 n = 0
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.
- x^8 x^2 x^8
- 3p
(^4) v 3 s^2
3
24) -2^2
Evaluate.
- (-7)^0 - 7^0
Write the number in scientific notation.
- 7,583,
Perform the indicated operation.
(7n^6 - 9n - 7n^4 ) + (3n^4 + 7 n^6 - 7n)
(5n^6 + 2 n + 5 n^4 ) + (-2n^4
- (6n^6 + 15 n^3 + 10 ) - (-6n^3 + 8 n^6
Find the product.
(2x + 11 )(x + 5 )
(-11 + x)(3x - 6)
( 5 m + 2 )
( 10 x + 9 y)^2
( 12 p + 5 )( 12 p - 5 )
( 2 m - 5 w)( 2 m + 5 w)
Find the intercepts for the graph of the equation and graph.
3x + y = 6
2x + y = -
Graph the linear equation.
x = -
3x = y - 4
Solve the equation.
-9b + 1 + 7 b = -3b + 6
-3a + 5 + 4 a = 13 - 26
x -^1 3
x = 5
x -^1 3
x = 6
Solve the formula for the specified variable.
- V =^1 3
Bh for B
49) A =^1
bh for b
Solve the problem.
Mardi received an inheritance of $ 60,000. She invested part at 12% and deposited the remainder in tax-free bonds at 8%. Her total annual income from the investments was $6800. Find the amount invested at 12%.
Walt made an extra $10,000 last year from a part-time job. He invested part of the money at 6% and the rest at 9%. He made a total of $690 in interest. How much was invested at 9%?
hd04S
