# Intermediate Algebra Questions

Intermediate Algebra Questions

1. Write 1.5 × 10-5 in standard form.
2. Evaluate: 30 – |-x + 6| for x = 10
1. Evaluate: 2xy3 + x – 2y for x = 2 and y = -2
2. What is the slope of the line perpendicular to the line y = – 4
3. Write an equation of the line with slope 2 and x-intercept (-4 , 0).
4. Solve the equation: -3(-x + 5) + 20 = -10(x – 3) + 4
5. Solve the inequality: 4(x – 6) + 4 < 8(x – 4)
6. Solve the equation: 3(x – 2)2 – 12 = 0
7. Solve the equation: x / 3 + 2 / 7 = x / 7 – 5
8. Line L is defined as line through the point (2 , 7) and perpendicular to the line x + y = 0. What is the point of intersection of L and the line x + y = 0
9. What is the point of intersection of the lines: x + 2y = 4 and -x – 3y = -7?
10. How many solutions do the system of equations 2x – 3y = 4 and 4x – 6y = -7 have?
11. For what value(s) of A does the system of equation A x + 6y = 0 and 2x – 7y = 3 have no solutions?
12. Solve |2x – 4| – 2 = 6.
13. How many solutions does the equation 2x2 + 3x = 8 have?
14. Solve the equation 3x2 + 6x – 1 = 8.
15. Solve the system of equations: 2x + 5y = 18 and -3x – y = -1.
16. What is the range of function f defined by: f = {(2,3),(1,4),(5,4),(0,3)}
17. Factor the expression 2x2 + 3x + 1.
18. Factor the expression 10x2 + 20x – 80.