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Math Problems
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| Question | Answer |
|---|---|
| Solve: 4x-3=10 | 13/4 |
| Solve: 5-3m=13-7m | 2 |
| Solve: 6-2(4+3x)=4 | -1 |
| Find the equation of the line passing through the point (2, -1) and parallel to the line x+2y=1. | x+2y=0 |
| Find the equation of the line passing through the point (-1,-3) and perpendicular to the line 2x+2y-2=0. | y=1/3(2x-7) or 2x-3y=7 |
| Point M (-1,-2) is the midpoint of line segment AB. If the coordinates of A are (3,-5) (3, find the coordinates of B). | B(-5,1) |
| If 2x^2+2y^2=1-6x is not a circle, state why. | It is a circle. |
| The following circle has the origin as their centre. Find the radius of 4x^2+4y^2=9. | 1.5 |
| Consider the function y=(x-3)^2+1. Calculate the zeros of the function. | (2±√14)/2 |
| Consider the function f(x)=-0.5(x-2)^2. Determine the location of the turning point and axis of symmetry. | x=2, (2,0) |
| For the following equation y=-(2x-3)(x+4), find the (i) y-intercept, (ii) the x-intercepts, (iii), the equation of the axis of symmetry, and (iv) the turning point and its nature. | (i) 12, (ii) -4, (iii) x=5/2, (iv) (-5/4, 121/8) max |
| The function f(x)=(x-a)(x-b) has a turning point at (3,-4). Find the value(s) of a and b. | a=5 and b=1 or a =1 and b=5 |
| Solve (2x+1)^2-25=0 | -3,2 |
| Solve (2x+1)^2-(2-3x)^2=0 | 0.2,3 |
| Solve 6x^2+5x+1=0 | -0.5,-0.33 |
| Solve 4x^2+3=8x | 0.5, 1.5 |
| A rectangular photograph is 12cm long and 9cm wide. The photograph is enlarged such that it is 2x cm longer and x cm wider and has an area twice as big as the original photograph. Determine the value of x. | 3cm |
| Solve the following equation x^2+2x-5=0 using the method of completing the square. | ±6-1 |
| Solve the following equation 143=3x(3x-2) using the method of completing the square. | -11/3,13/3 |
| Make use of the discriminant to find the number and nature of the solutions of the following equation x^2+4=0 | ∆=-16, no real solutions |
| Solve the following equation (5x^2)/2-11x/4=3/2 using the quadratic formula. | -0.4, 1.5 |
| Solve the following equation 5/x=7/x without the use of a calculator. | No solution |
| A quadratic equation ax^2+bx+c=0 has only one solution and that is x=3. Find the values of a, b and c. | a=1, b=-6, c=9 |
| FInd the quadratic function which contains the ordered pairs (-1,3), (1,1) and (3,-25). | y=-3x^2-x+5 |
| Determine the value of k for which the graph of the function y=x^2+kx+(k-1) will have exactly one zero. | k=2 |
| Find the domain and range of the function y=x^2-x-6. | Domain: {x:x real}, range: {y:yy real y≥-6.25} |
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22JCHAL
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