Assignment:
Intermediate Algebra
Q1. Simplify
2a+5a-(6a+8)
Q2. Clear fractions or decimals, solve, and check
1.7t +8-1.62t=0.4t-0.32+8
Q3. Divide and Check
(24x^6 + 18x^4 + 8x^3) ÷ (4x^3)
Q4. Factor completely. If a polynomial is prime, state this
4x^2 – 25
Q5. Solve
x^2 + 2x – 35 =0
25y^2 + 16 = 0
2t (t+ 2) =1
Q6. Find the sole of the line containing each given pair of points. If the slope is undefined, state this.
(-1, 4) and (5, -8)
Q7. Solve using the elimination method
8s + 12t = 16,
6s + 9t = 12
Q8. Is it possible for the graph of a quadractic function to have only one x-intercept if the vertex is off the x-axis? Why or why not?
Q9. Rewrite each of the following as an equivalent logarithmic equation. Do not solve
8 1/3 = 2
Q10. Express as an equivalent expression that is a single logarithm.
log_b?c - log_b??d ?
Q11. How long will it take $7600 to double if it is invested at 4.2%, compounded continuously?
Q12. Find the perimeter
4a +5 + 6a + 8
Provide complete and step by step solution for the question and show calculations and use formulas.