Assignment:
Q1. Evaluate 3x-4y/ 2z when x= -2, y=3, z=4 . Express your answer as a fraction.
Q2. Use the order of operations to simplify the following expression. (-2)2 -3 2
Q3. Write the statement as an algebraic equation: 'The difference between x and 2 is 4 more than twice x'
Q4. Name the property used in the equation: -2 (x+5) =-2x-10
Q5. Solve the following equation for x. 4(2x-3) +1= 6- 2 (x=4)
Q6. Solve the following equation for x.
2x+1/3 +3=4-(x+2)/2
Q7. After a 60% reduction, a pair of shoes sold for $30. What was the price of the shoes before the reduction?
Q8. Solve the following formula for r. I =Prt
Q9. Simplify the exponential expression. Express your answer with positive exponents. -2x -2y5 (3xy-3)
Q10. Simplify the exponential expression. Express your answer with positive exponents.
3x-2y2/(2x2y)3
Q11. For f(x) =2x2-5x =3 and g (x) =x+2 :
a. find (f + g)(x)
b. find (f + g)(2)
Q12. For f (x) =2x2 -5x+3 and g(x) =x+2 , find f(-2) + g (3) .
Q13. Use intercepts to graph the linear equation 3x + 5y = 14 . Label the intercepts on the graph.
Q14. Use the slope formula to find the slope of the line passing through the points
(-3, 7) and (4, -2). Then indicate whether the line through the points rises, fall, is horizontal, or is vertical.
Q15. Rewrite the equation 3x-4y =12 in slope-intercept form by solving for y. Then give the slope and y-intercept.
Q16. Find the equation of the line that has a slope of -3 and passes through (2, -5). Write the equation in slope-intercept form.
Q17. Find the equation of the line passing through the point (-3, -3) that is perpendicular to the line 2x-y =4 . Write the equation in slope-intercept form.
Q18. Solve the following system of linear equations by substitution.
2x =3y=7
6x-y=1
Express the solution as a point (x, y). Check your result in both equations.
Q19. Solve the following system of linear equations by addition.
3x+5y=-17
2x-3y= -5
Q20. A company is planning to manufacture chairs. The fixed cost is $20,000 and the cost per chair is $40. Each chair will be sold for $80.
a. Write the cost function, C(x), of producing x chairs.
b. Write the revenue function, R(x), from the sale of x chairs.
c. Determine the break-even point. Describe what this means.
Provide complete and step by step solution for the question and show calculations and use formulas.