Name_________________________________
MA109 Review for Test 1
Read the questions carefully, and answer them in the space provided. Always
simplify and factor completely. Leave answers in simplest radical form unless
instructed differently. No decimals, unless instructed.
1. Evaluate the expression. a = 2 b = 3 c = 6
a2 + b2 __________ 3𝑐 + 4𝑏 __________________
| 3a 2c | __________ −𝑏
2𝑎 ____________________
2. Simplify. No negative exponents in your answers.
4x2 ( 2x + 5y ) ____________ 2x4y-7 ___________________
3. Square the binomial.
( x + 6 )2 ( 3x 5y )2
_______________________ ______________________________
5. Factor.
6x3 + 24x2 x2 4x 45
____________________ _______________________
14xy2 7x2y 3x2 + 10x 8
____________________ _______________________
x2 16 2x3 + 10x2 + 12x
____________________ _____________ = ________________
6. Solve the equations.
5x + 10 3x = x + 19 1
6 ( 7t 4 ) = 𝑡+3
3
__________________________ ___________________________
7. Solve the inequality, write the answer in interval notation.
A. 2x 8 < 14 B. 8 < 5x + 13 < 28
__________________ __________________________
8. Plot the points. Graph the line.