Find the values of \(x\) and \(y\) from the equations:
\(x-4y+2=0\)
\(2x+y-4=0\)
\(x-4y+2=0\)
\(2x+y-4=0\)
A\(11/7\), \(-5/7\)
B\(14/9\), \(8/9\)
C\(4/9\), \(8/9\)
D\(3/2\), \(5/3\)
Mathematics · Question Bank
algebra
342 of 433 questions match · page 3 of 18. Answer in your head first, then check the solution.
Solve for the value of \(x\) and \(y\).
\(4x+2y=5\)
\(13x-3y=2\)
\(4x+2y=5\)
\(13x-3y=2\)
A\(y=1/2\), \(x=3/2\)
B\(y=3/2\), \(x=1/2\)
C\(y=2\), \(x=1\)
D\(y=3\), \(x=1\)
Solve the simultaneous equations:
\(2x^2-3y^2=6\)
\(3x^2+2y^2=35\)
\(2x^2-3y^2=6\)
\(3x^2+2y^2=35\)
A\(x=3\) or \(-3\); \(y=2\) or \(-2\)
B\(x=3\) or \(-3\); \(y=-2\) or \(1\)
C\(x=3\) or \(-3\); \(y=-2\) or \(-1\)
D\(x=3\) or \(-3\); \(y=2\) or \(-3\)
Find the value of \(w\) in the following equations:
\(3x-2y+w=11\)
\(x+5y-2w=-9\)
\(2x+y-3w=-6\)
\(3x-2y+w=11\)
\(x+5y-2w=-9\)
\(2x+y-3w=-6\)
A3
B2
C4
D-2
Solve for the value of \(x\).
\(2x-y+z=6\)
\(x-3y-2z=13\)
\(2x-3y-3z=16\)
\(2x-y+z=6\)
\(x-3y-2z=13\)
\(2x-3y-3z=16\)
A4
B3
C2
D1
Solve the simultaneous equations:
\(x+y=-4\)
\(x+z-1=0\)
\(y+z+1=0\)
\(x+y=-4\)
\(x+z-1=0\)
\(y+z+1=0\)
A\(x=-1\), \(y=-5\), \(z=3\)
B\(x=1\), \(y=2\), \(z=-3\)
C\(x=-1\), \(y=-3\), \(z=2\)
D\(x=-2\), \(y=-3\), \(z=-1\)
Multiply the following: \((2x+5y)(5x-2y)\)
A\(10x^2-21xy+10y^2\)
B\(-10x^2+21xy+10y^2\)
C\(10x^2+21xy-10y^2\)
D\(-10x^2-21xy-10y^2\)
Determine the sum of the positive valued solution to the simultaneous equations: \(xy=15\), \(yz=35\), \(zx=21\)
A15
B13
C17
D19
Simplify:
\(\frac{(x^2y^3z^{-2})^{-3}(x^{-3}yz^2)^{1/2}}{(xyz^{-3})^{5/2}}\)
\(\frac{(x^2y^3z^{-2})^{-3}(x^{-3}yz^2)^{1/2}}{(xyz^{-3})^{5/2}}\)
A\(\frac{1}{x^2y^7z^5}\)
B\(\frac{1}{x^2y^7z^3}\)
C\(\frac{1}{x^2y^5z^7}\)
D\(\frac{1}{x^5y^7z^2}\)
Simplify the following equation:
\(\frac{5x}{2x^2+7x+3}-\frac{x+3}{2x^2-3x-2}+\frac{2x+1}{x^2+x-6}\)
\(\frac{5x}{2x^2+7x+3}-\frac{x+3}{2x^2-3x-2}+\frac{2x+1}{x^2+x-6}\)
A\(\frac{4}{x+3}\)
B\(\frac{2}{x-3}\)
C\(\frac{4}{x-3}\)
D\(\frac{2}{x+3}\)
Simplify: \(\{x^{2/3}[x^{-1/3}y^{-1/2}(x^2y^{-2})^{1/3}]^{1/2}\}^6\)
A\(\frac{y^{5/2}}{x}\)
B\(\frac{y^{3/2}}{x}\)
C\(\frac{y^{5/2}}{x^2}\)
D\(\frac{y^{3/2}}{x^2}\)
Simplify: \(7^{a+2}-8(7)^{a+1}+5(7)^a+49(7)^{a-2}\)
A\(-5a\)
B\(-3a\)
C\(-7^a\)
D\(-4a\)
Solve for \(x\): \(x=\frac{(b^2-4b+16)(b^2-16)}{b^3+64}\)
A\(b+4\)
B\(\frac{b-4}{b+2}\)
C\(\frac{b^2-4}{b+2}\)
D\(b-4\)
Solve for \(y\): \(\frac{x}{(b-c)}=\frac{y}{(a-c)}=\frac{z}{(a-b)}\)
A\(x-z\)
B\(x+z\)
C\(a+b\)
D\(a-b\)
Resolve \(\frac{x+2}{x^2-7x+12}\) into partial fraction.
A\(\frac{6}{x-4}-\frac{2}{x-3}\)
B\(\frac{3}{x-4}-\frac{5}{x-3}\)
C\(\frac{6}{x-4}-\frac{5}{x-3}\)
D\(\frac{7}{x-4}-\frac{5}{x-3}\)
Find the value of \(A\) in the equation:
\(\frac{x^2+4x+10}{x^3+2x^2+5x}=\frac{A}{x}+\frac{B(2x+2)}{x^2+2x+5}+\frac{C}{x^2+2x+5}\)
\(\frac{x^2+4x+10}{x^3+2x^2+5x}=\frac{A}{x}+\frac{B(2x+2)}{x^2+2x+5}+\frac{C}{x^2+2x+5}\)
A\(-2\)
B\(1/2\)
C\(-1/2\)
D\(2\)
The value of (\(3\) to \(2.5\) power) square is equal to:
A\(729\)
B\(140\)
C\(243\)
D\(81\)
Evaluate: \(64^x \cdot 4^y\)
A\(256^{xy}\)
B\(4^{x+3y}\)
C\(64^{x+3y}\)
D\(4^{3x+y}\)
Solve for \(x\) in the following equations.
\(27^x=9^y\)
\(81^y 3^{-x}=243\)
\(27^x=9^y\)
\(81^y 3^{-x}=243\)
A\(1\)
B\(1.5\)
C\(2\)
D\(2.5\)
Evaluate:
\(y=\frac{4(5^{2n+1})-10(5^{2n-1})}{2(5^{2n})}\)
\(y=\frac{4(5^{2n+1})-10(5^{2n-1})}{2(5^{2n})}\)
A\(y=5^n\)
B\(y=9\)
C\(y=5^{2n}\)
D\(y=18\)